Abstract group data - 2662000.a

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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': '200.52', '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': [[19358111333213666, 19063078487671420, 17298483428108842, 5912944201328162, 4513194785817692, 12531822321003912, 33418192856010432, 38015377464172796, 14362106328136046, 4764541194236758], [34597982960121575, 29097193888594503, 30099179300064412, 23654314123045223, 42231727222426625, 20886370535006520, 25063644642007824, 17547918765498243, 21218151159834944, 16266862965923768], [11976255582413086, 6242160542765519, 21681859780655418, 16710848475905549, 9941783777328789, 37595466963011736, 8354548214002608, 9300310561786014, 17426204871852161, 14295740939022809], [22920603388748283, 11533654589359006, 27330113264509385, 12214084469265797, 9640956894207632, 20886370535006520, 25063644642007824, 4442911318463253, 14650614060987571, 44155025907582869], [20977390194353442, 22211611401315317, 7737228990863136, 22858850905985718, 8763074680266838, 12531822321003912, 33418192856010432, 39322628310019393, 35776443773027081, 2827915939961465], [41657972021122255, 18947003112732116, 22949530974474227, 38128696578106113, 38020629178160464, 12531822321003912, 33418192856010432, 38886251399526017, 45442300178271396, 45481653036310174], [6860498445529466, 9270298294033033, 10035787014308778, 1561996770852854, 41326204480322654, 16709096428005216, 29240918749009128, 31535372435119151, 6522757374092029, 10592768478875310], [31715609699675647, 18153579379339729, 13975597791564876, 12531822344208688, 14875126034974341, 37595466963011736, 8354548214002608, 42737648501872556, 40697153435709720, 7356040768142697], [24717318722114157, 944337957015900, 23653321521771261, 39630039480885270, 682963980075876, 20886370535006520, 25063644642007824, 17410763471785150, 12658016627041182, 1883186640469214]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 212960000, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': 220.0, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 22, 1, 1], [2, 110, 1, 1], [2, 242, 1, 1], [2, 1210, 1, 1], [2, 1331, 2, 1], [4, 110, 1, 1], [4, 1210, 1, 1], [5, 1, 4, 1], [5, 242, 1, 2], [5, 242, 4, 2], [5, 242, 5, 4], [5, 1331, 5, 4], [5, 2662, 5, 4], [10, 1, 4, 1], [10, 22, 4, 1], [10, 110, 4, 1], [10, 242, 1, 2], [10, 242, 2, 2], [10, 242, 4, 3], [10, 242, 5, 4], [10, 242, 8, 2], [10, 242, 10, 4], [10, 1210, 4, 1], [10, 1331, 5, 4], [10, 1331, 8, 1], [10, 1331, 10, 4], [10, 2662, 2, 4], [10, 2662, 5, 12], [10, 2662, 8, 4], [10, 2662, 10, 20], [10, 13310, 5, 8], [11, 10, 1, 1], [11, 20, 1, 1], [11, 50, 1, 2], [11, 100, 5, 2], [11, 200, 1, 1], [20, 110, 4, 1], [20, 1210, 4, 1], [20, 13310, 5, 8], [22, 10, 1, 1], [22, 20, 1, 1], [22, 50, 1, 2], [22, 100, 5, 2], [22, 200, 1, 1], [22, 220, 2, 1], [22, 1100, 1, 4], [22, 1100, 10, 1], [22, 2420, 1, 1], [22, 12100, 1, 1], [44, 1100, 1, 2], [44, 1100, 10, 1], [44, 12100, 1, 1], [55, 10, 4, 1], [55, 20, 4, 1], [55, 50, 4, 2], [55, 100, 20, 2], [55, 200, 4, 1], [55, 2420, 1, 2], [55, 2420, 4, 2], [55, 2420, 5, 4], [110, 10, 4, 1], [110, 20, 4, 1], [110, 50, 4, 2], [110, 100, 20, 2], [110, 200, 4, 1], [110, 220, 8, 1], [110, 1100, 4, 4], [110, 1100, 40, 1], [110, 2420, 1, 2], [110, 2420, 2, 2], [110, 2420, 4, 3], [110, 2420, 5, 4], [110, 2420, 8, 2], [110, 2420, 10, 4], [110, 12100, 4, 1], [220, 1100, 4, 2], [220, 1100, 40, 1], [220, 12100, 4, 1]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 22, 1], [2, 110, 1], [2, 242, 1], [2, 1210, 1], [2, 1331, 2], [4, 110, 1], [4, 1210, 1], [5, 1, 4], [5, 242, 30], [5, 1331, 20], [5, 2662, 20], [10, 1, 4], [10, 22, 4], [10, 110, 4], [10, 242, 94], [10, 1210, 4], [10, 1331, 68], [10, 2662, 300], [10, 13310, 40], [11, 10, 1], [11, 20, 1], [11, 50, 2], [11, 100, 10], [11, 200, 1], [20, 110, 4], [20, 1210, 4], [20, 13310, 40], [22, 10, 1], [22, 20, 1], [22, 50, 2], [22, 100, 10], [22, 200, 1], [22, 220, 2], [22, 1100, 14], [22, 2420, 1], [22, 12100, 1], [44, 1100, 12], [44, 12100, 1], [55, 10, 4], [55, 20, 4], [55, 50, 8], [55, 100, 40], [55, 200, 4], [55, 2420, 30], [110, 10, 4], [110, 20, 4], [110, 50, 8], [110, 100, 40], [110, 200, 4], [110, 220, 8], [110, 1100, 56], [110, 2420, 94], [110, 12100, 4], [220, 1100, 48], [220, 12100, 4]], 'center_label': '10.2', 'center_order': 10, 'central_product': True, 'central_quotient': None, 'commutator_count': 1, 'commutator_label': '13310.k', 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '5.1', '5.1', '5.1', '11.1', '11.1', '11.1'], 'composition_length': 10, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['5.1', 1], ['532400.a', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 22, 1, 1], [2, 110, 1, 1], [2, 242, 1, 1], [2, 1210, 1, 1], [2, 1331, 1, 2], [4, 110, 1, 1], [4, 1210, 1, 1], [5, 1, 4, 1], [5, 242, 2, 1], [5, 242, 4, 7], [5, 1331, 4, 5], [5, 2662, 4, 5], [10, 1, 4, 1], [10, 22, 4, 1], [10, 110, 4, 1], [10, 242, 2, 1], [10, 242, 4, 23], [10, 1210, 4, 1], [10, 1331, 4, 17], [10, 2662, 2, 2], [10, 2662, 4, 74], [10, 13310, 4, 10], [11, 10, 1, 1], [11, 20, 1, 1], [11, 50, 1, 2], [11, 100, 1, 10], [11, 200, 1, 1], [20, 110, 4, 1], [20, 1210, 4, 1], [20, 13310, 4, 10], [22, 10, 1, 1], [22, 20, 1, 1], [22, 50, 1, 2], [22, 100, 1, 10], [22, 200, 1, 1], [22, 220, 1, 2], [22, 1100, 1, 14], [22, 2420, 1, 1], [22, 12100, 1, 1], [44, 1100, 1, 2], [44, 1100, 2, 5], [44, 12100, 1, 1], [55, 10, 4, 1], [55, 20, 4, 1], [55, 50, 4, 2], [55, 100, 4, 10], [55, 200, 4, 1], [55, 2420, 2, 1], [55, 2420, 4, 7], [110, 10, 4, 1], [110, 20, 4, 1], [110, 50, 4, 2], [110, 100, 4, 10], [110, 200, 4, 1], [110, 220, 4, 2], [110, 1100, 4, 14], [110, 2420, 2, 1], [110, 2420, 4, 23], [110, 12100, 4, 1], [220, 1100, 4, 2], [220, 1100, 8, 5], [220, 12100, 4, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': None, 'exponent': 220, 'exponents_of_order': [4, 3, 3], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [[100, 0, 80], [200, 0, 4]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': None, 'hash': 1582062276896529704, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': [10, 11, 11, 5, 10, 1, 1, 55, 10, 11], 'inner_gens': [[19358111333213666, 17239527064479801, 42568624234005174, 8266640929675533, 44698152353389819, 12531822321003912, 33418192856010432, 20714216609776905, 11248492188581557, 30035389480921159], [18181120304346870, 19063078487671420, 17298483428108842, 6443374818154525, 45346643430549021, 12531822321003912, 33418192856010432, 14600941808653296, 25250138178072187, 4764541194236758], [44631079532766360, 19063078487671420, 17298483428108842, 41922377452032715, 8955833154023018, 12531822321003912, 33418192856010432, 45339790265102055, 13335707816052545, 4764541194236758], [17154781781066514, 20123654429140706, 27238780040815509, 5912944201328162, 37225285032068195, 12531822321003912, 33418192856010432, 6978082986479728, 17660934032994958, 14708290010338879], [34538350017403923, 31509478821030629, 15856353449776756, 44920908598071275, 4513194785817692, 12531822321003912, 33418192856010432, 16274097724869257, 44945446205172872, 26125213376096962], [19358111333213666, 19063078487671420, 17298483428108842, 5912944201328162, 4513194785817692, 12531822321003912, 33418192856010432, 38015377464172796, 14362106328136046, 4764541194236758], [19358111333213666, 19063078487671420, 17298483428108842, 5912944201328162, 4513194785817692, 12531822321003912, 33418192856010432, 38015377464172796, 14362106328136046, 4764541194236758], [14388826141046613, 16711921295723306, 2765484368257387, 23445412991815292, 16432079833204189, 12531822321003912, 33418192856010432, 38015377464172796, 8003914415129997, 27418360118115258], [12417732361040131, 22857832295785347, 7090982139495975, 45452725711324701, 21554384429253029, 12531822321003912, 33418192856010432, 42679706818188052, 14362106328136046, 13035417014214252], [9417475222423888, 19063078487671420, 17298483428108842, 41127567222052213, 26488247293975287, 12531822321003912, 33418192856010432, 17066808361111224, 32726214268477071, 4764541194236758]], 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': 266200, 'inner_split': None, 'inner_tex': None, 'inner_used': None, 'irrC_degree': 100, 'irrQ_degree': 400, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 200], [2, 450], [10, 20], [20, 145], [50, 40], [100, 210], [200, 10]], 'label': '2662000.a', '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': 'C22:F11^2.C10', 'ngens': 10, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 4, 3, 0, 1, 0, 1, 3, 0, 1, 7, 0, 1, 0, 3, 21, 0, 0, 0, 1, 25, 0, 7, 0, 13, 0, 21, 1, 0, 45, 1, 0, 43, 3, 6, 7, 7, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 190, 'number_characteristic_subgroups': 97, 'number_conjugacy_classes': 1075, 'number_divisions': 315, 'number_normal_subgroups': 244, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 2662000, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 4247], [4, 1320], [5, 87124], [10, 1449628], [11, 1330], [20, 537680], [22, 31690], [44, 25300], [55, 77920], [110, 344560], [220, 101200]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': False, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': '800.1204', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 800, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_2^2\\times C_{10}\\times F_5', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 42, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 5, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 8], [2, 2], [4, 52], [8, 110], [10, 4], [20, 5], [40, 6], [50, 8], [80, 34], [100, 32], [200, 15], [400, 32], [800, 7]], 'representations': {'PC': {'code': '1441929371628022358098222723374343869687805798794806844069893513591011977259639750053736786067554403236939999930627285346169658884185602790483894442747765753211321091563508577931413064965554962176854161380114771532019295839250303039909', 'gens': [1, 3, 5, 8, 9], 'pres': [10, 2, 5, 2, 5, 2, 5, 11, 11, 2, 11, 20, 3422702, 4560162, 82, 19563203, 29100413, 106005004, 2427514, 7735524, 2435284, 144, 87432005, 216015, 1471225, 5811635, 355, 135800006, 105016, 8505026, 5950036, 4400007, 1320017, 880027, 88047, 76590008, 16335018, 3339028, 585038, 268, 170200009, 36300019, 7310029, 1245039]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [19358111333213666, 19063078487671420, 17298483428108842, 5912944201328162, 4513194785817692, 12531822321003912, 33418192856010432, 38015377464172796, 14362106328136046, 4764541194236758]}, 'Perm': {'d': 42, 'gens': [34, 36823422718910871877069748737213668338267687904071, 41074, 71922975855518390941784532591023957469440208979273, 102846769508619169242322922358985386825161783484313, 133913199981205814348883763515551864729404583463120, 173159783138027236725702165640381916165986173103555, 207452369583760106661874885308511555079258812986791, 168935342114804974410186986774215489703723982240000, 40980392737668295732189373864370512237217849410713]}}, 'schur_multiplier': [2, 2, 10], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 10, 10], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 200, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_{22}:F_{11}^2.C_{10}', 'transitive_degree': None, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

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

  
  
  • id: 79828729
    {'aut_label': '1A', 'centralizer': None, 'counter': 1, 'group_counter': 1, 'group_order': 2662000, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 4177274107001304, 'size': 1}
  • id: 79828916
    {'aut_label': '2A', 'centralizer': None, 'counter': 2, 'group_counter': 1, 'group_order': 2662000, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 41772741070013040, 'size': 1}
  • id: 79829027
    {'aut_label': '2B', 'centralizer': None, 'counter': 3, 'group_counter': 1, 'group_order': 2662000, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 42119161525893473, 'size': 22}
  • id: 79829138
    {'aut_label': '2C', 'centralizer': None, 'counter': 4, 'group_counter': 1, 'group_order': 2662000, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 14775928668617504, 'size': 110}
  • id: 79829249
    {'aut_label': '2D', 'centralizer': None, 'counter': 5, 'group_counter': 1, 'group_order': 2662000, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 26410031846999344, 'size': 242}
  • id: 79829360
    {'aut_label': '2E', 'centralizer': None, 'counter': 6, 'group_counter': 1, 'group_order': 2662000, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 37747161723687913, 'size': 1210}
  • id: 79829471
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  • id: 79829760
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  • id: 79829771
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  • id: 79829782
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  • id: 79829793
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  • id: 79828731
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  • id: 79828742
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  • id: 79828753
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  • id: 79828764
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  • id: 79828775
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  • id: 79828786
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  • id: 79828797
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  • id: 79828808
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  • id: 79828815
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  • id: 79828816
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  • id: 79828818
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  • id: 79828819
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  • id: 79828820
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  • id: 79828821
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  • id: 79828822
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  • id: 79828823
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  • id: 79828824
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  • id: 79828825
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  • id: 79828826
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  • id: 79828827
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  • id: 79828829
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  • id: 79828830
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  • id: 79828831
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  • id: 79828832
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  • id: 79828833
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  • id: 79828834
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  • id: 79828835
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  • id: 79828836
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  • id: 79828837
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  • id: 79828838
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  • id: 79828840
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  • id: 79828841
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  • id: 79828842
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  • id: 79828843
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  • id: 79828844
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  • id: 79828845
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  • id: 79828846
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  • id: 79828847
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  • id: 79828848
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  • id: 79828849
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  • id: 79828851
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  • id: 79828852
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  • id: 79828853
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  • id: 79828854
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  • id: 79828855
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  • id: 79828856
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  • id: 79828857
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  • id: 79828858
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  • id: 79828859
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  • id: 79828860
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  • id: 79828862
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  • id: 79828863
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  • id: 79828864
    {'aut_label': '10O3', 'centralizer': None, 'counter': 152, 'group_counter': 1, 'group_order': 2662000, 'label': '10R-1', 'order': 10, 'powers': [21, 2, 152], 'representative': 44627724174008660, 'size': 242}
  • id: 79828865
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  • id: 79828866
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  • id: 79828867
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  • id: 79828868
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  • id: 79828869
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  • id: 79828870
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  • id: 79828871
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  • id: 79828873
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  • id: 79828874
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  • id: 79828875
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  • id: 79828876
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  • id: 79828877
    {'aut_label': '10E3', 'centralizer': None, 'counter': 164, 'group_counter': 1, 'group_order': 2662000, 'label': '10U-1', 'order': 10, 'powers': [44, 3, 164], 'representative': 17707905905017875, 'size': 242}
  • id: 79828878
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  • id: 79828879
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  • id: 79828880
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  • id: 79828881
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  • id: 79828882
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  • id: 79828884
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  • id: 79828885
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  • id: 79828886
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  • id: 79828887
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  • id: 79828888
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  • id: 79828889
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  • id: 79828890
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  • id: 79828891
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  • id: 79828892
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  • id: 79828893
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  • id: 79828895
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  • id: 79828896
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  • id: 79828897
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  • id: 79828898
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  • id: 79828899
    {'aut_label': '10F3', 'centralizer': None, 'counter': 184, 'group_counter': 1, 'group_order': 2662000, 'label': '10Z-1', 'order': 10, 'powers': [23, 5, 184], 'representative': 31497323722926056, 'size': 242}
  • id: 79828900
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  • id: 79828901
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  • id: 79829000
    {'aut_label': '10AW-3', 'centralizer': None, 'counter': 275, 'group_counter': 1, 'group_order': 2662000, 'label': '10AX1', 'order': 10, 'powers': [62, 5, 275], 'representative': 31569953449386049, 'size': 2662}
  • id: 79829001
    {'aut_label': '10AW3', 'centralizer': None, 'counter': 276, 'group_counter': 1, 'group_order': 2662000, 'label': '10AX-1', 'order': 10, 'powers': [61, 5, 276], 'representative': 29255706225944111, 'size': 2662}
  • id: 79829002
    {'aut_label': '10AW1', 'centralizer': None, 'counter': 277, 'group_counter': 1, 'group_order': 2662000, 'label': '10AX3', 'order': 10, 'powers': [63, 5, 277], 'representative': 23222813014342997, 'size': 2662}
  • id: 79829003
    {'aut_label': '10AW-1', 'centralizer': None, 'counter': 278, 'group_counter': 1, 'group_order': 2662000, 'label': '10AX-3', 'order': 10, 'powers': [64, 5, 278], 'representative': 457525495873773, 'size': 2662}
  • id: 79829004
    {'aut_label': '10AW1', 'centralizer': None, 'counter': 279, 'group_counter': 1, 'group_order': 2662000, 'label': '10AY1', 'order': 10, 'powers': [54, 5, 279], 'representative': 3151056614647895, 'size': 2662}
  • id: 79829006
    {'aut_label': '10AW-1', 'centralizer': None, 'counter': 280, 'group_counter': 1, 'group_order': 2662000, 'label': '10AY-1', 'order': 10, 'powers': [53, 5, 280], 'representative': 12750004026153240, 'size': 2662}
  • id: 79829007
    {'aut_label': '10AW3', 'centralizer': None, 'counter': 281, 'group_counter': 1, 'group_order': 2662000, 'label': '10AY3', 'order': 10, 'powers': [55, 5, 281], 'representative': 33959635691347059, 'size': 2662}
  • id: 79829008
    {'aut_label': '10AW-3', 'centralizer': None, 'counter': 282, 'group_counter': 1, 'group_order': 2662000, 'label': '10AY-3', 'order': 10, 'powers': [56, 5, 282], 'representative': 43141483512629285, 'size': 2662}
  • id: 79829009
    {'aut_label': '10AV1', 'centralizer': None, 'counter': 283, 'group_counter': 1, 'group_order': 2662000, 'label': '10AZ1', 'order': 10, 'powers': [62, 3, 283], 'representative': 34189594831428306, 'size': 2662}
  • id: 79829010
    {'aut_label': '10AV-1', 'centralizer': None, 'counter': 284, 'group_counter': 1, 'group_order': 2662000, 'label': '10AZ-1', 'order': 10, 'powers': [61, 3, 284], 'representative': 31457934421262560, 'size': 2662}
  • id: 79829011
    {'aut_label': '10AV3', 'centralizer': None, 'counter': 285, 'group_counter': 1, 'group_order': 2662000, 'label': '10AZ3', 'order': 10, 'powers': [63, 3, 285], 'representative': 29220743606976379, 'size': 2662}
  • id: 79829012
    {'aut_label': '10AV-3', 'centralizer': None, 'counter': 286, 'group_counter': 1, 'group_order': 2662000, 'label': '10AZ-3', 'order': 10, 'powers': [64, 3, 286], 'representative': 10400066708199187, 'size': 2662}
  • id: 79829013
    {'aut_label': '10AW3', 'centralizer': None, 'counter': 287, 'group_counter': 1, 'group_order': 2662000, 'label': '10BA1', 'order': 10, 'powers': [60, 5, 287], 'representative': 33465765093757074, 'size': 2662}
  • id: 79829014
    {'aut_label': '10AW-3', 'centralizer': None, 'counter': 288, 'group_counter': 1, 'group_order': 2662000, 'label': '10BA-1', 'order': 10, 'powers': [59, 5, 288], 'representative': 33734637152913332, 'size': 2662}
  • id: 79829015
    {'aut_label': '10AW-1', 'centralizer': None, 'counter': 289, 'group_counter': 1, 'group_order': 2662000, 'label': '10BA3', 'order': 10, 'powers': [58, 5, 289], 'representative': 4209042522691237, 'size': 2662}
  • id: 79829017
    {'aut_label': '10AW1', 'centralizer': None, 'counter': 290, 'group_counter': 1, 'group_order': 2662000, 'label': '10BA-3', 'order': 10, 'powers': [57, 5, 290], 'representative': 228343654731924, 'size': 2662}
  • id: 79829018
    {'aut_label': '10BB1', 'centralizer': None, 'counter': 291, 'group_counter': 1, 'group_order': 2662000, 'label': '10BB1', 'order': 10, 'powers': [25, 7, 291], 'representative': 32467116878781889, 'size': 2662}
  • id: 79829019
    {'aut_label': '10BB-1', 'centralizer': None, 'counter': 292, 'group_counter': 1, 'group_order': 2662000, 'label': '10BB-1', 'order': 10, 'powers': [26, 7, 292], 'representative': 24195294776469888, 'size': 2662}
  • id: 79829020
    {'aut_label': '10BB3', 'centralizer': None, 'counter': 293, 'group_counter': 1, 'group_order': 2662000, 'label': '10BB3', 'order': 10, 'powers': [28, 7, 293], 'representative': 11151073788038680, 'size': 2662}
  • id: 79829021
    {'aut_label': '10BB-3', 'centralizer': None, 'counter': 294, 'group_counter': 1, 'group_order': 2662000, 'label': '10BB-3', 'order': 10, 'powers': [27, 7, 294], 'representative': 11913132875813206, 'size': 2662}
  • id: 79829022
    {'aut_label': '10AV3', 'centralizer': None, 'counter': 295, 'group_counter': 1, 'group_order': 2662000, 'label': '10BC1', 'order': 10, 'powers': [54, 3, 295], 'representative': 3036956056559965, 'size': 2662}
  • id: 79829023
    {'aut_label': '10AV-3', 'centralizer': None, 'counter': 296, 'group_counter': 1, 'group_order': 2662000, 'label': '10BC-1', 'order': 10, 'powers': [53, 3, 296], 'representative': 4629656204119727, 'size': 2662}
  • id: 79829024
    {'aut_label': '10AV-1', 'centralizer': None, 'counter': 297, 'group_counter': 1, 'group_order': 2662000, 'label': '10BC3', 'order': 10, 'powers': [55, 3, 297], 'representative': 43371183707015853, 'size': 2662}
  • id: 79829025
    {'aut_label': '10AV1', 'centralizer': None, 'counter': 298, 'group_counter': 1, 'group_order': 2662000, 'label': '10BC-3', 'order': 10, 'powers': [56, 3, 298], 'representative': 29403994125523995, 'size': 2662}
  • id: 79829026
    {'aut_label': '10BD1', 'centralizer': None, 'counter': 299, 'group_counter': 1, 'group_order': 2662000, 'label': '10BD1', 'order': 10, 'powers': [26, 5, 299], 'representative': 28603787288953600, 'size': 2662}
  • id: 79829029
    {'aut_label': '10BD-1', 'centralizer': None, 'counter': 300, 'group_counter': 1, 'group_order': 2662000, 'label': '10BD-1', 'order': 10, 'powers': [25, 5, 300], 'representative': 26607298380035058, 'size': 2662}
  • id: 79829030
    {'aut_label': '10BD3', 'centralizer': None, 'counter': 301, 'group_counter': 1, 'group_order': 2662000, 'label': '10BD3', 'order': 10, 'powers': [27, 5, 301], 'representative': 39178222350780491, 'size': 2662}
  • id: 79829031
    {'aut_label': '10BD-3', 'centralizer': None, 'counter': 302, 'group_counter': 1, 'group_order': 2662000, 'label': '10BD-3', 'order': 10, 'powers': [28, 5, 302], 'representative': 3285053889878749, 'size': 2662}
  • id: 79829032
    {'aut_label': '10BD-1', 'centralizer': None, 'counter': 303, 'group_counter': 1, 'group_order': 2662000, 'label': '10BE1', 'order': 10, 'powers': [25, 5, 303], 'representative': 25603675094113034, 'size': 2662}
  • id: 79829033
    {'aut_label': '10BD1', 'centralizer': None, 'counter': 304, 'group_counter': 1, 'group_order': 2662000, 'label': '10BE-1', 'order': 10, 'powers': [26, 5, 304], 'representative': 40343170494702348, 'size': 2662}
  • id: 79829034
    {'aut_label': '10BD-3', 'centralizer': None, 'counter': 305, 'group_counter': 1, 'group_order': 2662000, 'label': '10BE3', 'order': 10, 'powers': [28, 5, 305], 'representative': 18994424660530008, 'size': 2662}
  • id: 79829035
    {'aut_label': '10BD3', 'centralizer': None, 'counter': 306, 'group_counter': 1, 'group_order': 2662000, 'label': '10BE-3', 'order': 10, 'powers': [27, 5, 306], 'representative': 22290945935014699, 'size': 2662}
  • id: 79829036
    {'aut_label': '10BF1', 'centralizer': None, 'counter': 307, 'group_counter': 1, 'group_order': 2662000, 'label': '10BF1', 'order': 10, 'powers': [65, 3, 307], 'representative': 24320542047584424, 'size': 2662}
  • id: 79829037
    {'aut_label': '10BF-1', 'centralizer': None, 'counter': 308, 'group_counter': 1, 'group_order': 2662000, 'label': '10BF-1', 'order': 10, 'powers': [66, 3, 308], 'representative': 12875757407155611, 'size': 2662}
  • id: 79829038
    {'aut_label': '10BF3', 'centralizer': None, 'counter': 309, 'group_counter': 1, 'group_order': 2662000, 'label': '10BF3', 'order': 10, 'powers': [68, 3, 309], 'representative': 37937184031555875, 'size': 2662}
  • id: 79829040
    {'aut_label': '10BF-3', 'centralizer': None, 'counter': 310, 'group_counter': 1, 'group_order': 2662000, 'label': '10BF-3', 'order': 10, 'powers': [67, 3, 310], 'representative': 1504270590998653, 'size': 2662}
  • id: 79829041
    {'aut_label': '10BG1', 'centralizer': None, 'counter': 311, 'group_counter': 1, 'group_order': 2662000, 'label': '10BG1', 'order': 10, 'powers': [69, 8, 311], 'representative': 11661617741452118, 'size': 2662}
  • id: 79829042
    {'aut_label': '10BG-1', 'centralizer': None, 'counter': 312, 'group_counter': 1, 'group_order': 2662000, 'label': '10BG-1', 'order': 10, 'powers': [70, 8, 312], 'representative': 3864243790807194, 'size': 2662}
  • id: 79829043
    {'aut_label': '10BG3', 'centralizer': None, 'counter': 313, 'group_counter': 1, 'group_order': 2662000, 'label': '10BG3', 'order': 10, 'powers': [72, 8, 313], 'representative': 1613856613322694, 'size': 2662}
  • id: 79829044
    {'aut_label': '10BG-3', 'centralizer': None, 'counter': 314, 'group_counter': 1, 'group_order': 2662000, 'label': '10BG-3', 'order': 10, 'powers': [71, 8, 314], 'representative': 34783509879910033, 'size': 2662}
  • id: 79829045
    {'aut_label': '10BF-3', 'centralizer': None, 'counter': 315, 'group_counter': 1, 'group_order': 2662000, 'label': '10BH1', 'order': 10, 'powers': [73, 3, 315], 'representative': 10290103008080187, 'size': 2662}
  • id: 79829046
    {'aut_label': '10BF3', 'centralizer': None, 'counter': 316, 'group_counter': 1, 'group_order': 2662000, 'label': '10BH-1', 'order': 10, 'powers': [74, 3, 316], 'representative': 42602142721375552, 'size': 2662}
  • id: 79829047
    {'aut_label': '10BF1', 'centralizer': None, 'counter': 317, 'group_counter': 1, 'group_order': 2662000, 'label': '10BH3', 'order': 10, 'powers': [76, 3, 317], 'representative': 18913064869602607, 'size': 2662}
  • id: 79829048
    {'aut_label': '10BF-1', 'centralizer': None, 'counter': 318, 'group_counter': 1, 'group_order': 2662000, 'label': '10BH-3', 'order': 10, 'powers': [75, 3, 318], 'representative': 711248721928196, 'size': 2662}
  • id: 79829049
    {'aut_label': '10BG1', 'centralizer': None, 'counter': 319, 'group_counter': 1, 'group_order': 2662000, 'label': '10BI1', 'order': 10, 'powers': [77, 8, 319], 'representative': 11779978037170655, 'size': 2662}
  • id: 79829051
    {'aut_label': '10BG-1', 'centralizer': None, 'counter': 320, 'group_counter': 1, 'group_order': 2662000, 'label': '10BI-1', 'order': 10, 'powers': [78, 8, 320], 'representative': 11701862498781434, 'size': 2662}
  • id: 79829052
    {'aut_label': '10BG3', 'centralizer': None, 'counter': 321, 'group_counter': 1, 'group_order': 2662000, 'label': '10BI3', 'order': 10, 'powers': [80, 8, 321], 'representative': 6117303208677155, 'size': 2662}
  • id: 79829053
    {'aut_label': '10BG-3', 'centralizer': None, 'counter': 322, 'group_counter': 1, 'group_order': 2662000, 'label': '10BI-3', 'order': 10, 'powers': [79, 8, 322], 'representative': 3270887006129442, 'size': 2662}
  • id: 79829054
    {'aut_label': '10BJ1', 'centralizer': None, 'counter': 323, 'group_counter': 1, 'group_order': 2662000, 'label': '10BJ1', 'order': 10, 'powers': [33, 8, 323], 'representative': 10998132612772315, 'size': 2662}
  • id: 79829055
    {'aut_label': '10BJ1', 'centralizer': None, 'counter': 324, 'group_counter': 1, 'group_order': 2662000, 'label': '10BJ-1', 'order': 10, 'powers': [34, 8, 324], 'representative': 16820063027997826, 'size': 2662}
  • id: 79829056
    {'aut_label': '10BJ3', 'centralizer': None, 'counter': 325, 'group_counter': 1, 'group_order': 2662000, 'label': '10BJ3', 'order': 10, 'powers': [36, 8, 325], 'representative': 27233825426802144, 'size': 2662}
  • id: 79829057
    {'aut_label': '10BJ3', 'centralizer': None, 'counter': 326, 'group_counter': 1, 'group_order': 2662000, 'label': '10BJ-3', 'order': 10, 'powers': [35, 8, 326], 'representative': 13720649570092246, 'size': 2662}
  • id: 79829058
    {'aut_label': '10BK1', 'centralizer': None, 'counter': 327, 'group_counter': 1, 'group_order': 2662000, 'label': '10BK1', 'order': 10, 'powers': [73, 5, 327], 'representative': 2996638796009397, 'size': 2662}
  • id: 79829059
    {'aut_label': '10BK-1', 'centralizer': None, 'counter': 328, 'group_counter': 1, 'group_order': 2662000, 'label': '10BK-1', 'order': 10, 'powers': [74, 5, 328], 'representative': 3921098230025152, 'size': 2662}
  • id: 79829060
    {'aut_label': '10BK3', 'centralizer': None, 'counter': 329, 'group_counter': 1, 'group_order': 2662000, 'label': '10BK3', 'order': 10, 'powers': [76, 5, 329], 'representative': 13149977706830278, 'size': 2662}
  • id: 79829062
    {'aut_label': '10BK-3', 'centralizer': None, 'counter': 330, 'group_counter': 1, 'group_order': 2662000, 'label': '10BK-3', 'order': 10, 'powers': [75, 5, 330], 'representative': 18832922662352779, 'size': 2662}
  • id: 79829063
    {'aut_label': '10BF-3', 'centralizer': None, 'counter': 331, 'group_counter': 1, 'group_order': 2662000, 'label': '10BL1', 'order': 10, 'powers': [67, 3, 331], 'representative': 23657322120942706, 'size': 2662}
  • id: 79829064
    {'aut_label': '10BF3', 'centralizer': None, 'counter': 332, 'group_counter': 1, 'group_order': 2662000, 'label': '10BL-1', 'order': 10, 'powers': [68, 3, 332], 'representative': 14959013471298323, 'size': 2662}
  • id: 79829065
    {'aut_label': '10BF1', 'centralizer': None, 'counter': 333, 'group_counter': 1, 'group_order': 2662000, 'label': '10BL3', 'order': 10, 'powers': [65, 3, 333], 'representative': 10024013748777767, 'size': 2662}
  • id: 79829066
    {'aut_label': '10BF-1', 'centralizer': None, 'counter': 334, 'group_counter': 1, 'group_order': 2662000, 'label': '10BL-3', 'order': 10, 'powers': [66, 3, 334], 'representative': 29849235665030734, 'size': 2662}
  • id: 79829067
    {'aut_label': '10BD3', 'centralizer': None, 'counter': 335, 'group_counter': 1, 'group_order': 2662000, 'label': '10BM1', 'order': 10, 'powers': [20, 5, 335], 'representative': 5060707323769668, 'size': 2662}
  • id: 79829068
    {'aut_label': '10BD-3', 'centralizer': None, 'counter': 336, 'group_counter': 1, 'group_order': 2662000, 'label': '10BM-1', 'order': 10, 'powers': [19, 5, 336], 'representative': 15111126715579782, 'size': 2662}
  • id: 79829069
    {'aut_label': '10BD-1', 'centralizer': None, 'counter': 337, 'group_counter': 1, 'group_order': 2662000, 'label': '10BM3', 'order': 10, 'powers': [18, 5, 337], 'representative': 22544191083500411, 'size': 2662}
  • id: 79829070
    {'aut_label': '10BD1', 'centralizer': None, 'counter': 338, 'group_counter': 1, 'group_order': 2662000, 'label': '10BM-3', 'order': 10, 'powers': [17, 5, 338], 'representative': 16192125601184101, 'size': 2662}
  • id: 79829071
    {'aut_label': '10BN1', 'centralizer': None, 'counter': 339, 'group_counter': 1, 'group_order': 2662000, 'label': '10BN1', 'order': 10, 'powers': [73, 2, 339], 'representative': 22070733294617859, 'size': 2662}
  • id: 79829073
    {'aut_label': '10BN-1', 'centralizer': None, 'counter': 340, 'group_counter': 1, 'group_order': 2662000, 'label': '10BN-1', 'order': 10, 'powers': [74, 2, 340], 'representative': 6750825967447871, 'size': 2662}
  • id: 79829074
    {'aut_label': '10BN3', 'centralizer': None, 'counter': 341, 'group_counter': 1, 'group_order': 2662000, 'label': '10BN3', 'order': 10, 'powers': [76, 2, 341], 'representative': 1941182310859135, 'size': 2662}
  • id: 79829075
    {'aut_label': '10BN-3', 'centralizer': None, 'counter': 342, 'group_counter': 1, 'group_order': 2662000, 'label': '10BN-3', 'order': 10, 'powers': [75, 2, 342], 'representative': 40580666013684577, 'size': 2662}
  • id: 79829076
    {'aut_label': '10BD-1', 'centralizer': None, 'counter': 343, 'group_counter': 1, 'group_order': 2662000, 'label': '10BO1', 'order': 10, 'powers': [37, 5, 343], 'representative': 11521886916845227, 'size': 2662}
  • id: 79829077
    {'aut_label': '10BD1', 'centralizer': None, 'counter': 344, 'group_counter': 1, 'group_order': 2662000, 'label': '10BO-1', 'order': 10, 'powers': [38, 5, 344], 'representative': 6758322036603905, 'size': 2662}
  • id: 79829078
    {'aut_label': '10BD-3', 'centralizer': None, 'counter': 345, 'group_counter': 1, 'group_order': 2662000, 'label': '10BO3', 'order': 10, 'powers': [40, 5, 345], 'representative': 10449830814088481, 'size': 2662}
  • id: 79829079
    {'aut_label': '10BD3', 'centralizer': None, 'counter': 346, 'group_counter': 1, 'group_order': 2662000, 'label': '10BO-3', 'order': 10, 'powers': [39, 5, 346], 'representative': 40759916375339225, 'size': 2662}
  • id: 79829080
    {'aut_label': '10BG-1', 'centralizer': None, 'counter': 347, 'group_counter': 1, 'group_order': 2662000, 'label': '10BP1', 'order': 10, 'powers': [66, 8, 347], 'representative': 14277771164289220, 'size': 2662}
  • id: 79829081
    {'aut_label': '10BG1', 'centralizer': None, 'counter': 348, 'group_counter': 1, 'group_order': 2662000, 'label': '10BP-1', 'order': 10, 'powers': [65, 8, 348], 'representative': 37105279850290021, 'size': 2662}
  • id: 79829082
    {'aut_label': '10BG-3', 'centralizer': None, 'counter': 349, 'group_counter': 1, 'group_order': 2662000, 'label': '10BP3', 'order': 10, 'powers': [67, 8, 349], 'representative': 11026511491516752, 'size': 2662}
  • id: 79829084
    {'aut_label': '10BG3', 'centralizer': None, 'counter': 350, 'group_counter': 1, 'group_order': 2662000, 'label': '10BP-3', 'order': 10, 'powers': [68, 8, 350], 'representative': 2573119926329758, 'size': 2662}
  • id: 79829085
    {'aut_label': '10BJ3', 'centralizer': None, 'counter': 351, 'group_counter': 1, 'group_order': 2662000, 'label': '10BQ1', 'order': 10, 'powers': [36, 7, 351], 'representative': 28282218055700935, 'size': 2662}
  • id: 79829086
    {'aut_label': '10BJ3', 'centralizer': None, 'counter': 352, 'group_counter': 1, 'group_order': 2662000, 'label': '10BQ-1', 'order': 10, 'powers': [35, 7, 352], 'representative': 16147193045577100, 'size': 2662}
  • id: 79829087
    {'aut_label': '10BJ1', 'centralizer': None, 'counter': 353, 'group_counter': 1, 'group_order': 2662000, 'label': '10BQ3', 'order': 10, 'powers': [34, 7, 353], 'representative': 18810239673348005, 'size': 2662}
  • id: 79829088
    {'aut_label': '10BJ1', 'centralizer': None, 'counter': 354, 'group_counter': 1, 'group_order': 2662000, 'label': '10BQ-3', 'order': 10, 'powers': [33, 7, 354], 'representative': 9303476846805195, 'size': 2662}
  • id: 79829089
    {'aut_label': '10BR1', 'centralizer': None, 'counter': 355, 'group_counter': 1, 'group_order': 2662000, 'label': '10BR1', 'order': 10, 'powers': [34, 3, 355], 'representative': 10224484840256567, 'size': 2662}
  • id: 79829090
    {'aut_label': '10BR1', 'centralizer': None, 'counter': 356, 'group_counter': 1, 'group_order': 2662000, 'label': '10BR-1', 'order': 10, 'powers': [33, 3, 356], 'representative': 13732537165749969, 'size': 2662}
  • id: 79829091
    {'aut_label': '10BR3', 'centralizer': None, 'counter': 357, 'group_counter': 1, 'group_order': 2662000, 'label': '10BR3', 'order': 10, 'powers': [35, 3, 357], 'representative': 36867972869144151, 'size': 2662}
  • id: 79829092
    {'aut_label': '10BR3', 'centralizer': None, 'counter': 358, 'group_counter': 1, 'group_order': 2662000, 'label': '10BR-3', 'order': 10, 'powers': [36, 3, 358], 'representative': 6368375856109428, 'size': 2662}
  • id: 79829093
    {'aut_label': '10BK-1', 'centralizer': None, 'counter': 359, 'group_counter': 1, 'group_order': 2662000, 'label': '10BS1', 'order': 10, 'powers': [81, 5, 359], 'representative': 8159198980527190, 'size': 2662}
  • id: 79829095
    {'aut_label': '10BK1', 'centralizer': None, 'counter': 360, 'group_counter': 1, 'group_order': 2662000, 'label': '10BS-1', 'order': 10, 'powers': [82, 5, 360], 'representative': 38296669831138652, 'size': 2662}
  • id: 79829096
    {'aut_label': '10BK-3', 'centralizer': None, 'counter': 361, 'group_counter': 1, 'group_order': 2662000, 'label': '10BS3', 'order': 10, 'powers': [84, 5, 361], 'representative': 39220536525933858, 'size': 2662}
  • id: 79829097
    {'aut_label': '10BK3', 'centralizer': None, 'counter': 362, 'group_counter': 1, 'group_order': 2662000, 'label': '10BS-3', 'order': 10, 'powers': [83, 5, 362], 'representative': 17884333587471276, 'size': 2662}
  • id: 79829098
    {'aut_label': '10BN-1', 'centralizer': None, 'counter': 363, 'group_counter': 1, 'group_order': 2662000, 'label': '10BT1', 'order': 10, 'powers': [80, 2, 363], 'representative': 8506778230766844, 'size': 2662}
  • id: 79829099
    {'aut_label': '10BN1', 'centralizer': None, 'counter': 364, 'group_counter': 1, 'group_order': 2662000, 'label': '10BT-1', 'order': 10, 'powers': [79, 2, 364], 'representative': 11619620936762275, 'size': 2662}
  • id: 79829100
    {'aut_label': '10BN-3', 'centralizer': None, 'counter': 365, 'group_counter': 1, 'group_order': 2662000, 'label': '10BT3', 'order': 10, 'powers': [78, 2, 365], 'representative': 32457900962044487, 'size': 2662}
  • id: 79829101
    {'aut_label': '10BN3', 'centralizer': None, 'counter': 366, 'group_counter': 1, 'group_order': 2662000, 'label': '10BT-3', 'order': 10, 'powers': [77, 2, 366], 'representative': 44409751690123619, 'size': 2662}
  • id: 79829102
    {'aut_label': '10BD-3', 'centralizer': None, 'counter': 367, 'group_counter': 1, 'group_order': 2662000, 'label': '10BU1', 'order': 10, 'powers': [40, 5, 367], 'representative': 16946521396075839, 'size': 2662}
  • id: 79829103
    {'aut_label': '10BD3', 'centralizer': None, 'counter': 368, 'group_counter': 1, 'group_order': 2662000, 'label': '10BU-1', 'order': 10, 'powers': [39, 5, 368], 'representative': 16877294839177725, 'size': 2662}
  • id: 79829104
    {'aut_label': '10BD1', 'centralizer': None, 'counter': 369, 'group_counter': 1, 'group_order': 2662000, 'label': '10BU3', 'order': 10, 'powers': [38, 5, 369], 'representative': 16843786687939724, 'size': 2662}
  • id: 79829106
    {'aut_label': '10BD-1', 'centralizer': None, 'counter': 370, 'group_counter': 1, 'group_order': 2662000, 'label': '10BU-3', 'order': 10, 'powers': [37, 5, 370], 'representative': 17048613243699396, 'size': 2662}
  • id: 79829107
    {'aut_label': '10BB3', 'centralizer': None, 'counter': 371, 'group_counter': 1, 'group_order': 2662000, 'label': '10BV1', 'order': 10, 'powers': [19, 8, 371], 'representative': 12966540294035395, 'size': 2662}
  • id: 79829108
    {'aut_label': '10BB-3', 'centralizer': None, 'counter': 372, 'group_counter': 1, 'group_order': 2662000, 'label': '10BV-1', 'order': 10, 'powers': [20, 8, 372], 'representative': 31251166874520669, 'size': 2662}
  • id: 79829109
    {'aut_label': '10BB-1', 'centralizer': None, 'counter': 373, 'group_counter': 1, 'group_order': 2662000, 'label': '10BV3', 'order': 10, 'powers': [17, 8, 373], 'representative': 27443982633162130, 'size': 2662}
  • id: 79829110
    {'aut_label': '10BB1', 'centralizer': None, 'counter': 374, 'group_counter': 1, 'group_order': 2662000, 'label': '10BV-3', 'order': 10, 'powers': [18, 8, 374], 'representative': 20410458218718360, 'size': 2662}
  • id: 79829111
    {'aut_label': '10BF-3', 'centralizer': None, 'counter': 375, 'group_counter': 1, 'group_order': 2662000, 'label': '10BW1', 'order': 10, 'powers': [73, 3, 375], 'representative': 17716695738826283, 'size': 2662}
  • id: 79829112
    {'aut_label': '10BF3', 'centralizer': None, 'counter': 376, 'group_counter': 1, 'group_order': 2662000, 'label': '10BW-1', 'order': 10, 'powers': [74, 3, 376], 'representative': 39474777896511026, 'size': 2662}
  • id: 79829113
    {'aut_label': '10BF1', 'centralizer': None, 'counter': 377, 'group_counter': 1, 'group_order': 2662000, 'label': '10BW3', 'order': 10, 'powers': [76, 3, 377], 'representative': 5332466053124534, 'size': 2662}
  • id: 79829114
    {'aut_label': '10BF-1', 'centralizer': None, 'counter': 378, 'group_counter': 1, 'group_order': 2662000, 'label': '10BW-3', 'order': 10, 'powers': [75, 3, 378], 'representative': 17767916365689768, 'size': 2662}
  • id: 79829115
    {'aut_label': '10BB-1', 'centralizer': None, 'counter': 379, 'group_counter': 1, 'group_order': 2662000, 'label': '10BX1', 'order': 10, 'powers': [38, 8, 379], 'representative': 15439402657429114, 'size': 2662}
  • id: 79829117
    {'aut_label': '10BB1', 'centralizer': None, 'counter': 380, 'group_counter': 1, 'group_order': 2662000, 'label': '10BX-1', 'order': 10, 'powers': [37, 8, 380], 'representative': 42472190169457452, 'size': 2662}
  • id: 79829118
    {'aut_label': '10BB-3', 'centralizer': None, 'counter': 381, 'group_counter': 1, 'group_order': 2662000, 'label': '10BX3', 'order': 10, 'powers': [39, 8, 381], 'representative': 39911020845882644, 'size': 2662}
  • id: 79829119
    {'aut_label': '10BB3', 'centralizer': None, 'counter': 382, 'group_counter': 1, 'group_order': 2662000, 'label': '10BX-3', 'order': 10, 'powers': [40, 8, 382], 'representative': 18540915472237028, 'size': 2662}
  • id: 79829120
    {'aut_label': '10BK3', 'centralizer': None, 'counter': 383, 'group_counter': 1, 'group_order': 2662000, 'label': '10BY1', 'order': 10, 'powers': [69, 5, 383], 'representative': 36023858836585785, 'size': 2662}
  • id: 79829121
    {'aut_label': '10BK-3', 'centralizer': None, 'counter': 384, 'group_counter': 1, 'group_order': 2662000, 'label': '10BY-1', 'order': 10, 'powers': [70, 5, 384], 'representative': 374706978239507, 'size': 2662}
  • id: 79829122
    {'aut_label': '10BK-1', 'centralizer': None, 'counter': 385, 'group_counter': 1, 'group_order': 2662000, 'label': '10BY3', 'order': 10, 'powers': [72, 5, 385], 'representative': 16569913874839125, 'size': 2662}
  • id: 79829123
    {'aut_label': '10BK1', 'centralizer': None, 'counter': 386, 'group_counter': 1, 'group_order': 2662000, 'label': '10BY-3', 'order': 10, 'powers': [71, 5, 386], 'representative': 32287898635558352, 'size': 2662}
  • id: 79829124
    {'aut_label': '10BJ3', 'centralizer': None, 'counter': 387, 'group_counter': 1, 'group_order': 2662000, 'label': '10BZ1', 'order': 10, 'powers': [23, 8, 387], 'representative': 4124261521136794, 'size': 2662}
  • id: 79829125
    {'aut_label': '10BJ3', 'centralizer': None, 'counter': 388, 'group_counter': 1, 'group_order': 2662000, 'label': '10BZ-1', 'order': 10, 'powers': [24, 8, 388], 'representative': 44583069331136633, 'size': 2662}
  • id: 79829126
    {'aut_label': '10BJ1', 'centralizer': None, 'counter': 389, 'group_counter': 1, 'group_order': 2662000, 'label': '10BZ3', 'order': 10, 'powers': [21, 8, 389], 'representative': 23949003282003254, 'size': 2662}
  • id: 79829128
    {'aut_label': '10BJ1', 'centralizer': None, 'counter': 390, 'group_counter': 1, 'group_order': 2662000, 'label': '10BZ-3', 'order': 10, 'powers': [22, 8, 390], 'representative': 10985579330132151, 'size': 2662}
  • id: 79829129
    {'aut_label': '10BJ3', 'centralizer': None, 'counter': 391, 'group_counter': 1, 'group_order': 2662000, 'label': '10CA1', 'order': 10, 'powers': [24, 7, 391], 'representative': 19697417588070130, 'size': 2662}
  • id: 79829130
    {'aut_label': '10BJ3', 'centralizer': None, 'counter': 392, 'group_counter': 1, 'group_order': 2662000, 'label': '10CA-1', 'order': 10, 'powers': [23, 7, 392], 'representative': 24796374351576834, 'size': 2662}
  • id: 79829131
    {'aut_label': '10BJ1', 'centralizer': None, 'counter': 393, 'group_counter': 1, 'group_order': 2662000, 'label': '10CA3', 'order': 10, 'powers': [22, 7, 393], 'representative': 10988543056999088, 'size': 2662}
  • id: 79829132
    {'aut_label': '10BJ1', 'centralizer': None, 'counter': 394, 'group_counter': 1, 'group_order': 2662000, 'label': '10CA-3', 'order': 10, 'powers': [21, 7, 394], 'representative': 32366570005195595, 'size': 2662}
  • id: 79829133
    {'aut_label': '10BD3', 'centralizer': None, 'counter': 395, 'group_counter': 1, 'group_order': 2662000, 'label': '10CB1', 'order': 10, 'powers': [31, 5, 395], 'representative': 40296277346434584, 'size': 2662}
  • id: 79829134
    {'aut_label': '10BD-3', 'centralizer': None, 'counter': 396, 'group_counter': 1, 'group_order': 2662000, 'label': '10CB-1', 'order': 10, 'powers': [32, 5, 396], 'representative': 12835593035665881, 'size': 2662}
  • id: 79829135
    {'aut_label': '10BD-1', 'centralizer': None, 'counter': 397, 'group_counter': 1, 'group_order': 2662000, 'label': '10CB3', 'order': 10, 'powers': [29, 5, 397], 'representative': 31974146624172097, 'size': 2662}
  • id: 79829136
    {'aut_label': '10BD1', 'centralizer': None, 'counter': 398, 'group_counter': 1, 'group_order': 2662000, 'label': '10CB-3', 'order': 10, 'powers': [30, 5, 398], 'representative': 34691061840336344, 'size': 2662}
  • id: 79829137
    {'aut_label': '10BG-3', 'centralizer': None, 'counter': 399, 'group_counter': 1, 'group_order': 2662000, 'label': '10CC1', 'order': 10, 'powers': [73, 8, 399], 'representative': 29884961677411919, 'size': 2662}
  • id: 79829140
    {'aut_label': '10BG3', 'centralizer': None, 'counter': 400, 'group_counter': 1, 'group_order': 2662000, 'label': '10CC-1', 'order': 10, 'powers': [74, 8, 400], 'representative': 9140291207689370, 'size': 2662}
  • id: 79829141
    {'aut_label': '10BG1', 'centralizer': None, 'counter': 401, 'group_counter': 1, 'group_order': 2662000, 'label': '10CC3', 'order': 10, 'powers': [76, 8, 401], 'representative': 11805196514249891, 'size': 2662}
  • id: 79829142
    {'aut_label': '10BG-1', 'centralizer': None, 'counter': 402, 'group_counter': 1, 'group_order': 2662000, 'label': '10CC-3', 'order': 10, 'powers': [75, 8, 402], 'representative': 29612682417585349, 'size': 2662}
  • id: 79829143
    {'aut_label': '10BF-1', 'centralizer': None, 'counter': 403, 'group_counter': 1, 'group_order': 2662000, 'label': '10CD1', 'order': 10, 'powers': [78, 3, 403], 'representative': 23267486110802402, 'size': 2662}
  • id: 79829144
    {'aut_label': '10BF1', 'centralizer': None, 'counter': 404, 'group_counter': 1, 'group_order': 2662000, 'label': '10CD-1', 'order': 10, 'powers': [77, 3, 404], 'representative': 36001004838202284, 'size': 2662}
  • id: 79829145
    {'aut_label': '10BF-3', 'centralizer': None, 'counter': 405, 'group_counter': 1, 'group_order': 2662000, 'label': '10CD3', 'order': 10, 'powers': [79, 3, 405], 'representative': 1423270686784163, 'size': 2662}
  • id: 79829146
    {'aut_label': '10BF3', 'centralizer': None, 'counter': 406, 'group_counter': 1, 'group_order': 2662000, 'label': '10CD-3', 'order': 10, 'powers': [80, 3, 406], 'representative': 9545764150569911, 'size': 2662}
  • id: 79829147
    {'aut_label': '10BF-3', 'centralizer': None, 'counter': 407, 'group_counter': 1, 'group_order': 2662000, 'label': '10CE1', 'order': 10, 'powers': [82, 3, 407], 'representative': 12382970219026016, 'size': 2662}
  • id: 79829148
    {'aut_label': '10BF3', 'centralizer': None, 'counter': 408, 'group_counter': 1, 'group_order': 2662000, 'label': '10CE-1', 'order': 10, 'powers': [81, 3, 408], 'representative': 25043593813592378, 'size': 2662}
  • id: 79829149
    {'aut_label': '10BF1', 'centralizer': None, 'counter': 409, 'group_counter': 1, 'group_order': 2662000, 'label': '10CE3', 'order': 10, 'powers': [83, 3, 409], 'representative': 43534628506024176, 'size': 2662}
  • id: 79829151
    {'aut_label': '10BF-1', 'centralizer': None, 'counter': 410, 'group_counter': 1, 'group_order': 2662000, 'label': '10CE-3', 'order': 10, 'powers': [84, 3, 410], 'representative': 18920798080440541, 'size': 2662}
  • id: 79829152
    {'aut_label': '10BG-3', 'centralizer': None, 'counter': 411, 'group_counter': 1, 'group_order': 2662000, 'label': '10CF1', 'order': 10, 'powers': [82, 8, 411], 'representative': 38964774276682563, 'size': 2662}
  • id: 79829153
    {'aut_label': '10BG3', 'centralizer': None, 'counter': 412, 'group_counter': 1, 'group_order': 2662000, 'label': '10CF-1', 'order': 10, 'powers': [81, 8, 412], 'representative': 43280786810922267, 'size': 2662}
  • id: 79829154
    {'aut_label': '10BG1', 'centralizer': None, 'counter': 413, 'group_counter': 1, 'group_order': 2662000, 'label': '10CF3', 'order': 10, 'powers': [83, 8, 413], 'representative': 15461382381497342, 'size': 2662}
  • id: 79829155
    {'aut_label': '10BG-1', 'centralizer': None, 'counter': 414, 'group_counter': 1, 'group_order': 2662000, 'label': '10CF-3', 'order': 10, 'powers': [84, 8, 414], 'representative': 32067922874901636, 'size': 2662}
  • id: 79829156
    {'aut_label': '10BN-1', 'centralizer': None, 'counter': 415, 'group_counter': 1, 'group_order': 2662000, 'label': '10CG1', 'order': 10, 'powers': [72, 2, 415], 'representative': 15923012499281648, 'size': 2662}
  • id: 79829157
    {'aut_label': '10BN1', 'centralizer': None, 'counter': 416, 'group_counter': 1, 'group_order': 2662000, 'label': '10CG-1', 'order': 10, 'powers': [71, 2, 416], 'representative': 30497122065579526, 'size': 2662}
  • id: 79829158
    {'aut_label': '10BN-3', 'centralizer': None, 'counter': 417, 'group_counter': 1, 'group_order': 2662000, 'label': '10CG3', 'order': 10, 'powers': [70, 2, 417], 'representative': 41241155890755378, 'size': 2662}
  • id: 79829159
    {'aut_label': '10BN3', 'centralizer': None, 'counter': 418, 'group_counter': 1, 'group_order': 2662000, 'label': '10CG-3', 'order': 10, 'powers': [69, 2, 418], 'representative': 9231727009490881, 'size': 2662}
  • id: 79829160
    {'aut_label': '10AW-3', 'centralizer': None, 'counter': 419, 'group_counter': 1, 'group_order': 2662000, 'label': '10CH1', 'order': 10, 'powers': [47, 5, 419], 'representative': 12674123374341722, 'size': 2662}
  • id: 79829162
    {'aut_label': '10AW3', 'centralizer': None, 'counter': 420, 'group_counter': 1, 'group_order': 2662000, 'label': '10CH-1', 'order': 10, 'powers': [48, 5, 420], 'representative': 13356359754802455, 'size': 2662}
  • id: 79829163
    {'aut_label': '10AW1', 'centralizer': None, 'counter': 421, 'group_counter': 1, 'group_order': 2662000, 'label': '10CH3', 'order': 10, 'powers': [45, 5, 421], 'representative': 14531928083237553, 'size': 2662}
  • id: 79829164
    {'aut_label': '10AW-1', 'centralizer': None, 'counter': 422, 'group_counter': 1, 'group_order': 2662000, 'label': '10CH-3', 'order': 10, 'powers': [46, 5, 422], 'representative': 16355186481010720, 'size': 2662}
  • id: 79829165
    {'aut_label': '10BG1', 'centralizer': None, 'counter': 423, 'group_counter': 1, 'group_order': 2662000, 'label': '10CI1', 'order': 10, 'powers': [83, 7, 423], 'representative': 39406242426343562, 'size': 2662}
  • id: 79829166
    {'aut_label': '10BG-1', 'centralizer': None, 'counter': 424, 'group_counter': 1, 'group_order': 2662000, 'label': '10CI-1', 'order': 10, 'powers': [84, 7, 424], 'representative': 2122154754763111, 'size': 2662}
  • id: 79829167
    {'aut_label': '10BG3', 'centralizer': None, 'counter': 425, 'group_counter': 1, 'group_order': 2662000, 'label': '10CI3', 'order': 10, 'powers': [81, 7, 425], 'representative': 5291140398687628, 'size': 2662}
  • id: 79829168
    {'aut_label': '10BG-3', 'centralizer': None, 'counter': 426, 'group_counter': 1, 'group_order': 2662000, 'label': '10CI-3', 'order': 10, 'powers': [82, 7, 426], 'representative': 44439794326022248, 'size': 2662}
  • id: 79829169
    {'aut_label': '10BF3', 'centralizer': None, 'counter': 427, 'group_counter': 1, 'group_order': 2662000, 'label': '10CJ1', 'order': 10, 'powers': [72, 3, 427], 'representative': 36718025489409589, 'size': 2662}
  • id: 79829170
    {'aut_label': '10BF-3', 'centralizer': None, 'counter': 428, 'group_counter': 1, 'group_order': 2662000, 'label': '10CJ-1', 'order': 10, 'powers': [71, 3, 428], 'representative': 41844786599938053, 'size': 2662}
  • id: 79829171
    {'aut_label': '10BF-1', 'centralizer': None, 'counter': 429, 'group_counter': 1, 'group_order': 2662000, 'label': '10CJ3', 'order': 10, 'powers': [70, 3, 429], 'representative': 13580210746354569, 'size': 2662}
  • id: 79829173
    {'aut_label': '10BF1', 'centralizer': None, 'counter': 430, 'group_counter': 1, 'group_order': 2662000, 'label': '10CJ-3', 'order': 10, 'powers': [69, 3, 430], 'representative': 22439408904193081, 'size': 2662}
  • id: 79829174
    {'aut_label': '10BD-3', 'centralizer': None, 'counter': 431, 'group_counter': 1, 'group_order': 2662000, 'label': '10CK1', 'order': 10, 'powers': [43, 5, 431], 'representative': 22613013550020898, 'size': 2662}
  • id: 79829175
    {'aut_label': '10BD3', 'centralizer': None, 'counter': 432, 'group_counter': 1, 'group_order': 2662000, 'label': '10CK-1', 'order': 10, 'powers': [44, 5, 432], 'representative': 11359549275372922, 'size': 2662}
  • id: 79829176
    {'aut_label': '10BD1', 'centralizer': None, 'counter': 433, 'group_counter': 1, 'group_order': 2662000, 'label': '10CK3', 'order': 10, 'powers': [41, 5, 433], 'representative': 35650588503831446, 'size': 2662}
  • id: 79829177
    {'aut_label': '10BD-1', 'centralizer': None, 'counter': 434, 'group_counter': 1, 'group_order': 2662000, 'label': '10CK-3', 'order': 10, 'powers': [42, 5, 434], 'representative': 15037140184392371, 'size': 2662}
  • id: 79829178
    {'aut_label': '10AV-1', 'centralizer': None, 'counter': 435, 'group_counter': 1, 'group_order': 2662000, 'label': '10CL1', 'order': 10, 'powers': [52, 3, 435], 'representative': 11385135597239403, 'size': 2662}
  • id: 79829179
    {'aut_label': '10AV1', 'centralizer': None, 'counter': 436, 'group_counter': 1, 'group_order': 2662000, 'label': '10CL-1', 'order': 10, 'powers': [51, 3, 436], 'representative': 8993761636111721, 'size': 2662}
  • id: 79829180
    {'aut_label': '10AV-3', 'centralizer': None, 'counter': 437, 'group_counter': 1, 'group_order': 2662000, 'label': '10CL3', 'order': 10, 'powers': [50, 3, 437], 'representative': 9790799824061737, 'size': 2662}
  • id: 79829181
    {'aut_label': '10AV3', 'centralizer': None, 'counter': 438, 'group_counter': 1, 'group_order': 2662000, 'label': '10CL-3', 'order': 10, 'powers': [49, 3, 438], 'representative': 12373686304135184, 'size': 2662}
  • id: 79829182
    {'aut_label': '10BG1', 'centralizer': None, 'counter': 439, 'group_counter': 1, 'group_order': 2662000, 'label': '10CM1', 'order': 10, 'powers': [77, 7, 439], 'representative': 35580250840883476, 'size': 2662}
  • id: 79829184
    {'aut_label': '10BG-1', 'centralizer': None, 'counter': 440, 'group_counter': 1, 'group_order': 2662000, 'label': '10CM-1', 'order': 10, 'powers': [78, 7, 440], 'representative': 6170492688674395, 'size': 2662}
  • id: 79829185
    {'aut_label': '10BG3', 'centralizer': None, 'counter': 441, 'group_counter': 1, 'group_order': 2662000, 'label': '10CM3', 'order': 10, 'powers': [80, 7, 441], 'representative': 5646595776640767, 'size': 2662}
  • id: 79829186
    {'aut_label': '10BG-3', 'centralizer': None, 'counter': 442, 'group_counter': 1, 'group_order': 2662000, 'label': '10CM-3', 'order': 10, 'powers': [79, 7, 442], 'representative': 44540642229574355, 'size': 2662}
  • id: 79829187
    {'aut_label': '10BF3', 'centralizer': None, 'counter': 443, 'group_counter': 1, 'group_order': 2662000, 'label': '10CN1', 'order': 10, 'powers': [72, 3, 443], 'representative': 31128453238363863, 'size': 2662}
  • id: 79829188
    {'aut_label': '10BF-3', 'centralizer': None, 'counter': 444, 'group_counter': 1, 'group_order': 2662000, 'label': '10CN-1', 'order': 10, 'powers': [71, 3, 444], 'representative': 25697222561022680, 'size': 2662}
  • id: 79829189
    {'aut_label': '10BF-1', 'centralizer': None, 'counter': 445, 'group_counter': 1, 'group_order': 2662000, 'label': '10CN3', 'order': 10, 'powers': [70, 3, 445], 'representative': 23262754580229809, 'size': 2662}
  • id: 79829190
    {'aut_label': '10BF1', 'centralizer': None, 'counter': 446, 'group_counter': 1, 'group_order': 2662000, 'label': '10CN-3', 'order': 10, 'powers': [69, 3, 446], 'representative': 44761759252581100, 'size': 2662}
  • id: 79829191
    {'aut_label': '10BF-3', 'centralizer': None, 'counter': 447, 'group_counter': 1, 'group_order': 2662000, 'label': '10CO1', 'order': 10, 'powers': [79, 3, 447], 'representative': 4161239783513620, 'size': 2662}
  • id: 79829192
    {'aut_label': '10BF3', 'centralizer': None, 'counter': 448, 'group_counter': 1, 'group_order': 2662000, 'label': '10CO-1', 'order': 10, 'powers': [80, 3, 448], 'representative': 18458649556283497, 'size': 2662}
  • id: 79829193
    {'aut_label': '10BF1', 'centralizer': None, 'counter': 449, 'group_counter': 1, 'group_order': 2662000, 'label': '10CO3', 'order': 10, 'powers': [77, 3, 449], 'representative': 24939794168073603, 'size': 2662}
  • id: 79829195
    {'aut_label': '10BF-1', 'centralizer': None, 'counter': 450, 'group_counter': 1, 'group_order': 2662000, 'label': '10CO-3', 'order': 10, 'powers': [78, 3, 450], 'representative': 15817862572458598, 'size': 2662}
  • id: 79829196
    {'aut_label': '10BK1', 'centralizer': None, 'counter': 451, 'group_counter': 1, 'group_order': 2662000, 'label': '10CP1', 'order': 10, 'powers': [71, 5, 451], 'representative': 38936176243042309, 'size': 2662}
  • id: 79829197
    {'aut_label': '10BK-1', 'centralizer': None, 'counter': 452, 'group_counter': 1, 'group_order': 2662000, 'label': '10CP-1', 'order': 10, 'powers': [72, 5, 452], 'representative': 2181090486149387, 'size': 2662}
  • id: 79829198
    {'aut_label': '10BK3', 'centralizer': None, 'counter': 453, 'group_counter': 1, 'group_order': 2662000, 'label': '10CP3', 'order': 10, 'powers': [69, 5, 453], 'representative': 11522869323607478, 'size': 2662}
  • id: 79829199
    {'aut_label': '10BK-3', 'centralizer': None, 'counter': 454, 'group_counter': 1, 'group_order': 2662000, 'label': '10CP-3', 'order': 10, 'powers': [70, 5, 454], 'representative': 30207057381295985, 'size': 2662}
  • id: 79829200
    {'aut_label': '10BK-1', 'centralizer': None, 'counter': 455, 'group_counter': 1, 'group_order': 2662000, 'label': '10CQ1', 'order': 10, 'powers': [80, 5, 455], 'representative': 21761536204562352, 'size': 2662}
  • id: 79829201
    {'aut_label': '10BK1', 'centralizer': None, 'counter': 456, 'group_counter': 1, 'group_order': 2662000, 'label': '10CQ-1', 'order': 10, 'powers': [79, 5, 456], 'representative': 2490368052282827, 'size': 2662}
  • id: 79829202
    {'aut_label': '10BK-3', 'centralizer': None, 'counter': 457, 'group_counter': 1, 'group_order': 2662000, 'label': '10CQ3', 'order': 10, 'powers': [78, 5, 457], 'representative': 13539411426690877, 'size': 2662}
  • id: 79829203
    {'aut_label': '10BK3', 'centralizer': None, 'counter': 458, 'group_counter': 1, 'group_order': 2662000, 'label': '10CQ-3', 'order': 10, 'powers': [77, 5, 458], 'representative': 17043747631666289, 'size': 2662}
  • id: 79829204
    {'aut_label': '10BK1', 'centralizer': None, 'counter': 459, 'group_counter': 1, 'group_order': 2662000, 'label': '10CR1', 'order': 10, 'powers': [79, 5, 459], 'representative': 36674997949959114, 'size': 2662}
  • id: 79829206
    {'aut_label': '10BK-1', 'centralizer': None, 'counter': 460, 'group_counter': 1, 'group_order': 2662000, 'label': '10CR-1', 'order': 10, 'powers': [80, 5, 460], 'representative': 28820960510775266, 'size': 2662}
  • id: 79829207
    {'aut_label': '10BK3', 'centralizer': None, 'counter': 461, 'group_counter': 1, 'group_order': 2662000, 'label': '10CR3', 'order': 10, 'powers': [77, 5, 461], 'representative': 18663671717817635, 'size': 2662}
  • id: 79829208
    {'aut_label': '10BK-3', 'centralizer': None, 'counter': 462, 'group_counter': 1, 'group_order': 2662000, 'label': '10CR-3', 'order': 10, 'powers': [78, 5, 462], 'representative': 32753038272841449, 'size': 2662}
  • id: 79829209
    {'aut_label': '10BR1', 'centralizer': None, 'counter': 463, 'group_counter': 1, 'group_order': 2662000, 'label': '10CS1', 'order': 10, 'powers': [22, 3, 463], 'representative': 24980370604428026, 'size': 2662}
  • id: 79829210
    {'aut_label': '10BR1', 'centralizer': None, 'counter': 464, 'group_counter': 1, 'group_order': 2662000, 'label': '10CS-1', 'order': 10, 'powers': [21, 3, 464], 'representative': 36945158053194194, 'size': 2662}
  • id: 79829211
    {'aut_label': '10BR3', 'centralizer': None, 'counter': 465, 'group_counter': 1, 'group_order': 2662000, 'label': '10CS3', 'order': 10, 'powers': [23, 3, 465], 'representative': 35208591798966267, 'size': 2662}
  • id: 79829212
    {'aut_label': '10BR3', 'centralizer': None, 'counter': 466, 'group_counter': 1, 'group_order': 2662000, 'label': '10CS-3', 'order': 10, 'powers': [24, 3, 466], 'representative': 3922215221746340, 'size': 2662}
  • id: 79829213
    {'aut_label': '10BG1', 'centralizer': None, 'counter': 467, 'group_counter': 1, 'group_order': 2662000, 'label': '10CT1', 'order': 10, 'powers': [69, 7, 467], 'representative': 33986767109661179, 'size': 2662}
  • id: 79829214
    {'aut_label': '10BG-1', 'centralizer': None, 'counter': 468, 'group_counter': 1, 'group_order': 2662000, 'label': '10CT-1', 'order': 10, 'powers': [70, 7, 468], 'representative': 4068355472198018, 'size': 2662}
  • id: 79829215
    {'aut_label': '10BG3', 'centralizer': None, 'counter': 469, 'group_counter': 1, 'group_order': 2662000, 'label': '10CT3', 'order': 10, 'powers': [72, 7, 469], 'representative': 44412239021255615, 'size': 2662}
  • id: 79829217
    {'aut_label': '10BG-3', 'centralizer': None, 'counter': 470, 'group_counter': 1, 'group_order': 2662000, 'label': '10CT-3', 'order': 10, 'powers': [71, 7, 470], 'representative': 37048421220065858, 'size': 2662}
  • id: 79829218
    {'aut_label': '10BB3', 'centralizer': None, 'counter': 471, 'group_counter': 1, 'group_order': 2662000, 'label': '10CU1', 'order': 10, 'powers': [32, 7, 471], 'representative': 15903101830048726, 'size': 2662}
  • id: 79829219
    {'aut_label': '10BB-3', 'centralizer': None, 'counter': 472, 'group_counter': 1, 'group_order': 2662000, 'label': '10CU-1', 'order': 10, 'powers': [31, 7, 472], 'representative': 5969864977934222, 'size': 2662}
  • id: 79829220
    {'aut_label': '10BB-1', 'centralizer': None, 'counter': 473, 'group_counter': 1, 'group_order': 2662000, 'label': '10CU3', 'order': 10, 'powers': [30, 7, 473], 'representative': 13757538984428688, 'size': 2662}
  • id: 79829221
    {'aut_label': '10BB1', 'centralizer': None, 'counter': 474, 'group_counter': 1, 'group_order': 2662000, 'label': '10CU-3', 'order': 10, 'powers': [29, 7, 474], 'representative': 44923522659913212, 'size': 2662}
  • id: 79829222
    {'aut_label': '10BK3', 'centralizer': None, 'counter': 475, 'group_counter': 1, 'group_order': 2662000, 'label': '10CV1', 'order': 10, 'powers': [76, 5, 475], 'representative': 34091147302416019, 'size': 2662}
  • id: 79829223
    {'aut_label': '10BK-3', 'centralizer': None, 'counter': 476, 'group_counter': 1, 'group_order': 2662000, 'label': '10CV-1', 'order': 10, 'powers': [75, 5, 476], 'representative': 22833384967405494, 'size': 2662}
  • id: 79829224
    {'aut_label': '10BK-1', 'centralizer': None, 'counter': 477, 'group_counter': 1, 'group_order': 2662000, 'label': '10CV3', 'order': 10, 'powers': [74, 5, 477], 'representative': 45637057014271491, 'size': 2662}
  • id: 79829225
    {'aut_label': '10BK1', 'centralizer': None, 'counter': 478, 'group_counter': 1, 'group_order': 2662000, 'label': '10CV-3', 'order': 10, 'powers': [73, 5, 478], 'representative': 23911257808311725, 'size': 2662}
  • id: 79829226
    {'aut_label': '10AV-3', 'centralizer': None, 'counter': 479, 'group_counter': 1, 'group_order': 2662000, 'label': '10CW1', 'order': 10, 'powers': [46, 3, 479], 'representative': 2772811807269179, 'size': 2662}
  • id: 79829228
    {'aut_label': '10AV3', 'centralizer': None, 'counter': 480, 'group_counter': 1, 'group_order': 2662000, 'label': '10CW-1', 'order': 10, 'powers': [45, 3, 480], 'representative': 38663279951284835, 'size': 2662}
  • id: 79829229
    {'aut_label': '10AV1', 'centralizer': None, 'counter': 481, 'group_counter': 1, 'group_order': 2662000, 'label': '10CW3', 'order': 10, 'powers': [47, 3, 481], 'representative': 32366991515199380, 'size': 2662}
  • id: 79829230
    {'aut_label': '10AV-1', 'centralizer': None, 'counter': 482, 'group_counter': 1, 'group_order': 2662000, 'label': '10CW-3', 'order': 10, 'powers': [48, 3, 482], 'representative': 45574527023876386, 'size': 2662}
  • id: 79829231
    {'aut_label': '10CX1', 'centralizer': None, 'counter': 483, 'group_counter': 1, 'group_order': 2662000, 'label': '10CX1', 'order': 10, 'powers': [16, 3, 483], 'representative': 30261506922178356, 'size': 2662}
  • id: 79829232
    {'aut_label': '10CX1', 'centralizer': None, 'counter': 484, 'group_counter': 1, 'group_order': 2662000, 'label': '10CX-1', 'order': 10, 'powers': [16, 3, 484], 'representative': 3435644028001885, 'size': 2662}
  • id: 79829233
    {'aut_label': '10CX3', 'centralizer': None, 'counter': 485, 'group_counter': 1, 'group_order': 2662000, 'label': '10CX3', 'order': 10, 'powers': [15, 3, 485], 'representative': 45165004103521812, 'size': 2662}
  • id: 79829234
    {'aut_label': '10CX3', 'centralizer': None, 'counter': 486, 'group_counter': 1, 'group_order': 2662000, 'label': '10CX-3', 'order': 10, 'powers': [15, 3, 486], 'representative': 18016930116947068, 'size': 2662}
  • id: 79829235
    {'aut_label': '10BD3', 'centralizer': None, 'counter': 487, 'group_counter': 1, 'group_order': 2662000, 'label': '10CY1', 'order': 10, 'powers': [31, 5, 487], 'representative': 22278555760006444, 'size': 2662}
  • id: 79829236
    {'aut_label': '10BD-3', 'centralizer': None, 'counter': 488, 'group_counter': 1, 'group_order': 2662000, 'label': '10CY-1', 'order': 10, 'powers': [32, 5, 488], 'representative': 5115403882652670, 'size': 2662}
  • id: 79829237
    {'aut_label': '10BD-1', 'centralizer': None, 'counter': 489, 'group_counter': 1, 'group_order': 2662000, 'label': '10CY3', 'order': 10, 'powers': [29, 5, 489], 'representative': 22480698445407322, 'size': 2662}
  • id: 79829239
    {'aut_label': '10BD1', 'centralizer': None, 'counter': 490, 'group_counter': 1, 'group_order': 2662000, 'label': '10CY-3', 'order': 10, 'powers': [30, 5, 490], 'representative': 38653939587433587, 'size': 2662}
  • id: 79829240
    {'aut_label': '10BG1', 'centralizer': None, 'counter': 491, 'group_counter': 1, 'group_order': 2662000, 'label': '10CZ1', 'order': 10, 'powers': [65, 7, 491], 'representative': 10481183321355638, 'size': 2662}
  • id: 79829241
    {'aut_label': '10BG-1', 'centralizer': None, 'counter': 492, 'group_counter': 1, 'group_order': 2662000, 'label': '10CZ-1', 'order': 10, 'powers': [66, 7, 492], 'representative': 10044404361033145, 'size': 2662}
  • id: 79829242
    {'aut_label': '10BG3', 'centralizer': None, 'counter': 493, 'group_counter': 1, 'group_order': 2662000, 'label': '10CZ3', 'order': 10, 'powers': [68, 7, 493], 'representative': 6956721687937544, 'size': 2662}
  • id: 79829243
    {'aut_label': '10BG-3', 'centralizer': None, 'counter': 494, 'group_counter': 1, 'group_order': 2662000, 'label': '10CZ-3', 'order': 10, 'powers': [67, 7, 494], 'representative': 17585373104140542, 'size': 2662}
  • id: 79829244
    {'aut_label': '10BN3', 'centralizer': None, 'counter': 495, 'group_counter': 1, 'group_order': 2662000, 'label': '10DA1', 'order': 10, 'powers': [83, 2, 495], 'representative': 18195001948480590, 'size': 2662}
  • id: 79829245
    {'aut_label': '10BN-3', 'centralizer': None, 'counter': 496, 'group_counter': 1, 'group_order': 2662000, 'label': '10DA-1', 'order': 10, 'powers': [84, 2, 496], 'representative': 8770818290794432, 'size': 2662}
  • id: 79829246
    {'aut_label': '10BN-1', 'centralizer': None, 'counter': 497, 'group_counter': 1, 'group_order': 2662000, 'label': '10DA3', 'order': 10, 'powers': [81, 2, 497], 'representative': 24119106116078491, 'size': 2662}
  • id: 79829247
    {'aut_label': '10BN1', 'centralizer': None, 'counter': 498, 'group_counter': 1, 'group_order': 2662000, 'label': '10DA-3', 'order': 10, 'powers': [82, 2, 498], 'representative': 8197474938364508, 'size': 2662}
  • id: 79829248
    {'aut_label': '10BR3', 'centralizer': None, 'counter': 499, 'group_counter': 1, 'group_order': 2662000, 'label': '10DB1', 'order': 10, 'powers': [36, 3, 499], 'representative': 1372624333868336, 'size': 2662}
  • id: 79829251
    {'aut_label': '10BR3', 'centralizer': None, 'counter': 500, 'group_counter': 1, 'group_order': 2662000, 'label': '10DB-1', 'order': 10, 'powers': [35, 3, 500], 'representative': 8854546695809287, 'size': 2662}
  • id: 79829252
    {'aut_label': '10BR1', 'centralizer': None, 'counter': 501, 'group_counter': 1, 'group_order': 2662000, 'label': '10DB3', 'order': 10, 'powers': [34, 3, 501], 'representative': 24461998600913155, 'size': 2662}
  • id: 79829253
    {'aut_label': '10BR1', 'centralizer': None, 'counter': 502, 'group_counter': 1, 'group_order': 2662000, 'label': '10DB-3', 'order': 10, 'powers': [33, 3, 502], 'representative': 43374101119065534, 'size': 2662}
  • id: 79829254
    {'aut_label': '10BF1', 'centralizer': None, 'counter': 503, 'group_counter': 1, 'group_order': 2662000, 'label': '10DC1', 'order': 10, 'powers': [83, 3, 503], 'representative': 23363564433695763, 'size': 2662}
  • id: 79829255
    {'aut_label': '10BF-1', 'centralizer': None, 'counter': 504, 'group_counter': 1, 'group_order': 2662000, 'label': '10DC-1', 'order': 10, 'powers': [84, 3, 504], 'representative': 10264359959586364, 'size': 2662}
  • id: 79829256
    {'aut_label': '10BF3', 'centralizer': None, 'counter': 505, 'group_counter': 1, 'group_order': 2662000, 'label': '10DC3', 'order': 10, 'powers': [81, 3, 505], 'representative': 30968839581209350, 'size': 2662}
  • id: 79829257
    {'aut_label': '10BF-3', 'centralizer': None, 'counter': 506, 'group_counter': 1, 'group_order': 2662000, 'label': '10DC-3', 'order': 10, 'powers': [82, 3, 506], 'representative': 32244945369079043, 'size': 2662}
  • id: 79829258
    {'aut_label': '10BR1', 'centralizer': None, 'counter': 507, 'group_counter': 1, 'group_order': 2662000, 'label': '10DD1', 'order': 10, 'powers': [21, 3, 507], 'representative': 23885532871645025, 'size': 2662}
  • id: 79829259
    {'aut_label': '10BR1', 'centralizer': None, 'counter': 508, 'group_counter': 1, 'group_order': 2662000, 'label': '10DD-1', 'order': 10, 'powers': [22, 3, 508], 'representative': 5833298294351003, 'size': 2662}
  • id: 79829260
    {'aut_label': '10BR3', 'centralizer': None, 'counter': 509, 'group_counter': 1, 'group_order': 2662000, 'label': '10DD3', 'order': 10, 'powers': [24, 3, 509], 'representative': 15395751962191177, 'size': 2662}
  • id: 79829262
    {'aut_label': '10BR3', 'centralizer': None, 'counter': 510, 'group_counter': 1, 'group_order': 2662000, 'label': '10DD-3', 'order': 10, 'powers': [23, 3, 510], 'representative': 41061426527188849, 'size': 2662}
  • id: 79829263
    {'aut_label': '10BK3', 'centralizer': None, 'counter': 511, 'group_counter': 1, 'group_order': 2662000, 'label': '10DE1', 'order': 10, 'powers': [65, 5, 511], 'representative': 40638358159333510, 'size': 2662}
  • id: 79829264
    {'aut_label': '10BK-3', 'centralizer': None, 'counter': 512, 'group_counter': 1, 'group_order': 2662000, 'label': '10DE-1', 'order': 10, 'powers': [66, 5, 512], 'representative': 36555062801386026, 'size': 2662}
  • id: 79829265
    {'aut_label': '10BK-1', 'centralizer': None, 'counter': 513, 'group_counter': 1, 'group_order': 2662000, 'label': '10DE3', 'order': 10, 'powers': [68, 5, 513], 'representative': 2196390171837908, 'size': 2662}
  • id: 79829266
    {'aut_label': '10BK1', 'centralizer': None, 'counter': 514, 'group_counter': 1, 'group_order': 2662000, 'label': '10DE-3', 'order': 10, 'powers': [67, 5, 514], 'representative': 23742076836468903, 'size': 2662}
  • id: 79829267
    {'aut_label': '10BG1', 'centralizer': None, 'counter': 515, 'group_counter': 1, 'group_order': 2662000, 'label': '10DF1', 'order': 10, 'powers': [76, 7, 515], 'representative': 28571745951628957, 'size': 2662}
  • id: 79829268
    {'aut_label': '10BG-1', 'centralizer': None, 'counter': 516, 'group_counter': 1, 'group_order': 2662000, 'label': '10DF-1', 'order': 10, 'powers': [75, 7, 516], 'representative': 1196556144662168, 'size': 2662}
  • id: 79829269
    {'aut_label': '10BG3', 'centralizer': None, 'counter': 517, 'group_counter': 1, 'group_order': 2662000, 'label': '10DF3', 'order': 10, 'powers': [74, 7, 517], 'representative': 32410538043587314, 'size': 2662}
  • id: 79829270
    {'aut_label': '10BG-3', 'centralizer': None, 'counter': 518, 'group_counter': 1, 'group_order': 2662000, 'label': '10DF-3', 'order': 10, 'powers': [73, 7, 518], 'representative': 16559860561853156, 'size': 2662}
  • id: 79829271
    {'aut_label': '10BB-3', 'centralizer': None, 'counter': 519, 'group_counter': 1, 'group_order': 2662000, 'label': '10DG1', 'order': 10, 'powers': [39, 7, 519], 'representative': 3691854206555877, 'size': 2662}
  • id: 79829273
    {'aut_label': '10BB3', 'centralizer': None, 'counter': 520, 'group_counter': 1, 'group_order': 2662000, 'label': '10DG-1', 'order': 10, 'powers': [40, 7, 520], 'representative': 5555588027040788, 'size': 2662}
  • id: 79829274
    {'aut_label': '10BB1', 'centralizer': None, 'counter': 521, 'group_counter': 1, 'group_order': 2662000, 'label': '10DG3', 'order': 10, 'powers': [37, 7, 521], 'representative': 14484661322287970, 'size': 2662}
  • id: 79829275
    {'aut_label': '10BB-1', 'centralizer': None, 'counter': 522, 'group_counter': 1, 'group_order': 2662000, 'label': '10DG-3', 'order': 10, 'powers': [38, 7, 522], 'representative': 538963523451372, 'size': 2662}
  • id: 79829276
    {'aut_label': '10BK-3', 'centralizer': None, 'counter': 523, 'group_counter': 1, 'group_order': 2662000, 'label': '10DH1', 'order': 10, 'powers': [84, 5, 523], 'representative': 43162252170022394, 'size': 2662}
  • id: 79829277
    {'aut_label': '10BK3', 'centralizer': None, 'counter': 524, 'group_counter': 1, 'group_order': 2662000, 'label': '10DH-1', 'order': 10, 'powers': [83, 5, 524], 'representative': 41123882526974655, 'size': 2662}
  • id: 79829278
    {'aut_label': '10BK1', 'centralizer': None, 'counter': 525, 'group_counter': 1, 'group_order': 2662000, 'label': '10DH3', 'order': 10, 'powers': [82, 5, 525], 'representative': 36417917597075263, 'size': 2662}
  • id: 79829279
    {'aut_label': '10BK-1', 'centralizer': None, 'counter': 526, 'group_counter': 1, 'group_order': 2662000, 'label': '10DH-3', 'order': 10, 'powers': [81, 5, 526], 'representative': 19812235474593367, 'size': 2662}
  • id: 79829280
    {'aut_label': '10BB-3', 'centralizer': None, 'counter': 527, 'group_counter': 1, 'group_order': 2662000, 'label': '10DI1', 'order': 10, 'powers': [44, 7, 527], 'representative': 2283823436306052, 'size': 2662}
  • id: 79829281
    {'aut_label': '10BB3', 'centralizer': None, 'counter': 528, 'group_counter': 1, 'group_order': 2662000, 'label': '10DI-1', 'order': 10, 'powers': [43, 7, 528], 'representative': 25091824644466151, 'size': 2662}
  • id: 79829282
    {'aut_label': '10BB1', 'centralizer': None, 'counter': 529, 'group_counter': 1, 'group_order': 2662000, 'label': '10DI3', 'order': 10, 'powers': [42, 7, 529], 'representative': 13607923216805100, 'size': 2662}
  • id: 79829284
    {'aut_label': '10BB-1', 'centralizer': None, 'counter': 530, 'group_counter': 1, 'group_order': 2662000, 'label': '10DI-3', 'order': 10, 'powers': [41, 7, 530], 'representative': 4739334557158258, 'size': 2662}
  • id: 79829285
    {'aut_label': '10BB3', 'centralizer': None, 'counter': 531, 'group_counter': 1, 'group_order': 2662000, 'label': '10DJ1', 'order': 10, 'powers': [43, 8, 531], 'representative': 22069491641248241, 'size': 2662}
  • id: 79829286
    {'aut_label': '10BB-3', 'centralizer': None, 'counter': 532, 'group_counter': 1, 'group_order': 2662000, 'label': '10DJ-1', 'order': 10, 'powers': [44, 8, 532], 'representative': 29667585806058571, 'size': 2662}
  • id: 79829287
    {'aut_label': '10BB-1', 'centralizer': None, 'counter': 533, 'group_counter': 1, 'group_order': 2662000, 'label': '10DJ3', 'order': 10, 'powers': [41, 8, 533], 'representative': 9414521525147422, 'size': 2662}
  • id: 79829288
    {'aut_label': '10BB1', 'centralizer': None, 'counter': 534, 'group_counter': 1, 'group_order': 2662000, 'label': '10DJ-3', 'order': 10, 'powers': [42, 8, 534], 'representative': 16109482113856409, 'size': 2662}
  • id: 79829289
    {'aut_label': '10BD-1', 'centralizer': None, 'counter': 535, 'group_counter': 1, 'group_order': 2662000, 'label': '10DK1', 'order': 10, 'powers': [42, 5, 535], 'representative': 6440333146452962, 'size': 2662}
  • id: 79829290
    {'aut_label': '10BD1', 'centralizer': None, 'counter': 536, 'group_counter': 1, 'group_order': 2662000, 'label': '10DK-1', 'order': 10, 'powers': [41, 5, 536], 'representative': 29161160592066126, 'size': 2662}
  • id: 79829291
    {'aut_label': '10BD-3', 'centralizer': None, 'counter': 537, 'group_counter': 1, 'group_order': 2662000, 'label': '10DK3', 'order': 10, 'powers': [43, 5, 537], 'representative': 11047157092720511, 'size': 2662}
  • id: 79829292
    {'aut_label': '10BD3', 'centralizer': None, 'counter': 538, 'group_counter': 1, 'group_order': 2662000, 'label': '10DK-3', 'order': 10, 'powers': [44, 5, 538], 'representative': 11411912857938869, 'size': 2662}
  • id: 79829293
    {'aut_label': '10BK-1', 'centralizer': None, 'counter': 539, 'group_counter': 1, 'group_order': 2662000, 'label': '10DL1', 'order': 10, 'powers': [68, 5, 539], 'representative': 6192828445501700, 'size': 2662}
  • id: 79829295
    {'aut_label': '10BK1', 'centralizer': None, 'counter': 540, 'group_counter': 1, 'group_order': 2662000, 'label': '10DL-1', 'order': 10, 'powers': [67, 5, 540], 'representative': 22479963160545745, 'size': 2662}
  • id: 79829296
    {'aut_label': '10BK-3', 'centralizer': None, 'counter': 541, 'group_counter': 1, 'group_order': 2662000, 'label': '10DL3', 'order': 10, 'powers': [66, 5, 541], 'representative': 7046747229242189, 'size': 2662}
  • id: 79829297
    {'aut_label': '10BK3', 'centralizer': None, 'counter': 542, 'group_counter': 1, 'group_order': 2662000, 'label': '10DL-3', 'order': 10, 'powers': [65, 5, 542], 'representative': 38439854492819302, 'size': 2662}
  • id: 79829298
    {'aut_label': '10BD-3', 'centralizer': None, 'counter': 543, 'group_counter': 1, 'group_order': 2662000, 'label': '10DM1', 'order': 10, 'powers': [19, 5, 543], 'representative': 13958134735779605, 'size': 2662}
  • id: 79829299
    {'aut_label': '10BD3', 'centralizer': None, 'counter': 544, 'group_counter': 1, 'group_order': 2662000, 'label': '10DM-1', 'order': 10, 'powers': [20, 5, 544], 'representative': 4769345259883918, 'size': 2662}
  • id: 79829300
    {'aut_label': '10BD1', 'centralizer': None, 'counter': 545, 'group_counter': 1, 'group_order': 2662000, 'label': '10DM3', 'order': 10, 'powers': [17, 5, 545], 'representative': 29082691985582064, 'size': 2662}
  • id: 79829301
    {'aut_label': '10BD-1', 'centralizer': None, 'counter': 546, 'group_counter': 1, 'group_order': 2662000, 'label': '10DM-3', 'order': 10, 'powers': [18, 5, 546], 'representative': 42647916751055221, 'size': 2662}
  • id: 79829302
    {'aut_label': '10BN3', 'centralizer': None, 'counter': 547, 'group_counter': 1, 'group_order': 2662000, 'label': '10DN1', 'order': 10, 'powers': [65, 2, 547], 'representative': 14070332419543020, 'size': 2662}
  • id: 79829303
    {'aut_label': '10BN-3', 'centralizer': None, 'counter': 548, 'group_counter': 1, 'group_order': 2662000, 'label': '10DN-1', 'order': 10, 'powers': [66, 2, 548], 'representative': 7185584041707791, 'size': 2662}
  • id: 79829304
    {'aut_label': '10BN-1', 'centralizer': None, 'counter': 549, 'group_counter': 1, 'group_order': 2662000, 'label': '10DN3', 'order': 10, 'powers': [68, 2, 549], 'representative': 32166444190974913, 'size': 2662}
  • id: 79829306
    {'aut_label': '10BN1', 'centralizer': None, 'counter': 550, 'group_counter': 1, 'group_order': 2662000, 'label': '10DN-3', 'order': 10, 'powers': [67, 2, 550], 'representative': 33414512327221563, 'size': 2662}
  • id: 79829307
    {'aut_label': '10BB3', 'centralizer': None, 'counter': 551, 'group_counter': 1, 'group_order': 2662000, 'label': '10DO1', 'order': 10, 'powers': [19, 7, 551], 'representative': 20162067255660627, 'size': 2662}
  • id: 79829308
    {'aut_label': '10BB-3', 'centralizer': None, 'counter': 552, 'group_counter': 1, 'group_order': 2662000, 'label': '10DO-1', 'order': 10, 'powers': [20, 7, 552], 'representative': 1726464292279876, 'size': 2662}
  • id: 79829309
    {'aut_label': '10BB-1', 'centralizer': None, 'counter': 553, 'group_counter': 1, 'group_order': 2662000, 'label': '10DO3', 'order': 10, 'powers': [17, 7, 553], 'representative': 6895441381193856, 'size': 2662}
  • id: 79829310
    {'aut_label': '10BB1', 'centralizer': None, 'counter': 554, 'group_counter': 1, 'group_order': 2662000, 'label': '10DO-3', 'order': 10, 'powers': [18, 7, 554], 'representative': 15452114354301176, 'size': 2662}
  • id: 79829311
    {'aut_label': '10BB-1', 'centralizer': None, 'counter': 555, 'group_counter': 1, 'group_order': 2662000, 'label': '10DP1', 'order': 10, 'powers': [26, 8, 555], 'representative': 24260896628843290, 'size': 2662}
  • id: 79829312
    {'aut_label': '10BB1', 'centralizer': None, 'counter': 556, 'group_counter': 1, 'group_order': 2662000, 'label': '10DP-1', 'order': 10, 'powers': [25, 8, 556], 'representative': 27486684608927551, 'size': 2662}
  • id: 79829313
    {'aut_label': '10BB-3', 'centralizer': None, 'counter': 557, 'group_counter': 1, 'group_order': 2662000, 'label': '10DP3', 'order': 10, 'powers': [27, 8, 557], 'representative': 41102155887092878, 'size': 2662}
  • id: 79829314
    {'aut_label': '10BB3', 'centralizer': None, 'counter': 558, 'group_counter': 1, 'group_order': 2662000, 'label': '10DP-3', 'order': 10, 'powers': [28, 8, 558], 'representative': 14767474977210856, 'size': 2662}
  • id: 79829315
    {'aut_label': '10BB-1', 'centralizer': None, 'counter': 559, 'group_counter': 1, 'group_order': 2662000, 'label': '10DQ1', 'order': 10, 'powers': [30, 8, 559], 'representative': 24492744509733215, 'size': 2662}
  • id: 79829317
    {'aut_label': '10BB1', 'centralizer': None, 'counter': 560, 'group_counter': 1, 'group_order': 2662000, 'label': '10DQ-1', 'order': 10, 'powers': [29, 8, 560], 'representative': 28009938834289640, 'size': 2662}
  • id: 79829318
    {'aut_label': '10BB-3', 'centralizer': None, 'counter': 561, 'group_counter': 1, 'group_order': 2662000, 'label': '10DQ3', 'order': 10, 'powers': [31, 8, 561], 'representative': 15850303738759494, 'size': 2662}
  • id: 79829319
    {'aut_label': '10BB3', 'centralizer': None, 'counter': 562, 'group_counter': 1, 'group_order': 2662000, 'label': '10DQ-3', 'order': 10, 'powers': [32, 8, 562], 'representative': 28496186745749018, 'size': 2662}
  • id: 79829320
    {'aut_label': '10DR1', 'centralizer': None, 'counter': 563, 'group_counter': 1, 'group_order': 2662000, 'label': '10DR1', 'order': 10, 'powers': [63, 4, 563], 'representative': 26704715854074555, 'size': 13310}
  • id: 79829321
    {'aut_label': '10DR-1', 'centralizer': None, 'counter': 564, 'group_counter': 1, 'group_order': 2662000, 'label': '10DR-1', 'order': 10, 'powers': [64, 4, 564], 'representative': 1615570608916701, 'size': 13310}
  • id: 79829322
    {'aut_label': '10DR3', 'centralizer': None, 'counter': 565, 'group_counter': 1, 'group_order': 2662000, 'label': '10DR3', 'order': 10, 'powers': [61, 4, 565], 'representative': 18806635772404965, 'size': 13310}
  • id: 79829323
    {'aut_label': '10DR-3', 'centralizer': None, 'counter': 566, 'group_counter': 1, 'group_order': 2662000, 'label': '10DR-3', 'order': 10, 'powers': [62, 4, 566], 'representative': 19580039743178018, 'size': 13310}
  • id: 79829324
    {'aut_label': '10DR1', 'centralizer': None, 'counter': 567, 'group_counter': 1, 'group_order': 2662000, 'label': '10DS1', 'order': 10, 'powers': [49, 4, 567], 'representative': 20948619975421537, 'size': 13310}
  • id: 79829325
    {'aut_label': '10DR-1', 'centralizer': None, 'counter': 568, 'group_counter': 1, 'group_order': 2662000, 'label': '10DS-1', 'order': 10, 'powers': [50, 4, 568], 'representative': 4457979961881609, 'size': 13310}
  • id: 79829326
    {'aut_label': '10DR3', 'centralizer': None, 'counter': 569, 'group_counter': 1, 'group_order': 2662000, 'label': '10DS3', 'order': 10, 'powers': [52, 4, 569], 'representative': 33574721726890953, 'size': 13310}
  • id: 79829328
    {'aut_label': '10DR-3', 'centralizer': None, 'counter': 570, 'group_counter': 1, 'group_order': 2662000, 'label': '10DS-3', 'order': 10, 'powers': [51, 4, 570], 'representative': 12908867124769974, 'size': 13310}
  • id: 79829329
    {'aut_label': '10DR1', 'centralizer': None, 'counter': 571, 'group_counter': 1, 'group_order': 2662000, 'label': '10DT1', 'order': 10, 'powers': [45, 4, 571], 'representative': 39570884034980109, 'size': 13310}
  • id: 79829330
    {'aut_label': '10DR-1', 'centralizer': None, 'counter': 572, 'group_counter': 1, 'group_order': 2662000, 'label': '10DT-1', 'order': 10, 'powers': [46, 4, 572], 'representative': 23216318821229968, 'size': 13310}
  • id: 79829331
    {'aut_label': '10DR3', 'centralizer': None, 'counter': 573, 'group_counter': 1, 'group_order': 2662000, 'label': '10DT3', 'order': 10, 'powers': [48, 4, 573], 'representative': 29513527088985243, 'size': 13310}
  • id: 79829332
    {'aut_label': '10DR-3', 'centralizer': None, 'counter': 574, 'group_counter': 1, 'group_order': 2662000, 'label': '10DT-3', 'order': 10, 'powers': [47, 4, 574], 'representative': 10010216158120488, 'size': 13310}
  • id: 79829333
    {'aut_label': '10DU1', 'centralizer': None, 'counter': 575, 'group_counter': 1, 'group_order': 2662000, 'label': '10DU1', 'order': 10, 'powers': [45, 6, 575], 'representative': 45221996225126906, 'size': 13310}
  • id: 79829334
    {'aut_label': '10DU-1', 'centralizer': None, 'counter': 576, 'group_counter': 1, 'group_order': 2662000, 'label': '10DU-1', 'order': 10, 'powers': [46, 6, 576], 'representative': 27540303279817991, 'size': 13310}
  • id: 79829335
    {'aut_label': '10DU3', 'centralizer': None, 'counter': 577, 'group_counter': 1, 'group_order': 2662000, 'label': '10DU3', 'order': 10, 'powers': [48, 6, 577], 'representative': 34484100655017283, 'size': 13310}
  • id: 79829336
    {'aut_label': '10DU-3', 'centralizer': None, 'counter': 578, 'group_counter': 1, 'group_order': 2662000, 'label': '10DU-3', 'order': 10, 'powers': [47, 6, 578], 'representative': 13121935688192698, 'size': 13310}
  • id: 79829337
    {'aut_label': '10DU1', 'centralizer': None, 'counter': 579, 'group_counter': 1, 'group_order': 2662000, 'label': '10DV1', 'order': 10, 'powers': [54, 6, 579], 'representative': 11958509596349323, 'size': 13310}
  • id: 79829339
    {'aut_label': '10DU-1', 'centralizer': None, 'counter': 580, 'group_counter': 1, 'group_order': 2662000, 'label': '10DV-1', 'order': 10, 'powers': [53, 6, 580], 'representative': 17999932541149931, 'size': 13310}
  • id: 79829340
    {'aut_label': '10DU3', 'centralizer': None, 'counter': 581, 'group_counter': 1, 'group_order': 2662000, 'label': '10DV3', 'order': 10, 'powers': [55, 6, 581], 'representative': 43990251978666836, 'size': 13310}
  • id: 79829341
    {'aut_label': '10DU-3', 'centralizer': None, 'counter': 582, 'group_counter': 1, 'group_order': 2662000, 'label': '10DV-3', 'order': 10, 'powers': [56, 6, 582], 'representative': 17131739329476058, 'size': 13310}
  • id: 79829342
    {'aut_label': '10DU-1', 'centralizer': None, 'counter': 583, 'group_counter': 1, 'group_order': 2662000, 'label': '10DW1', 'order': 10, 'powers': [64, 6, 583], 'representative': 40151992105711932, 'size': 13310}
  • id: 79829343
    {'aut_label': '10DU1', 'centralizer': None, 'counter': 584, 'group_counter': 1, 'group_order': 2662000, 'label': '10DW-1', 'order': 10, 'powers': [63, 6, 584], 'representative': 7459989116160577, 'size': 13310}
  • id: 79829344
    {'aut_label': '10DU-3', 'centralizer': None, 'counter': 585, 'group_counter': 1, 'group_order': 2662000, 'label': '10DW3', 'order': 10, 'powers': [62, 6, 585], 'representative': 20715463649525350, 'size': 13310}
  • id: 79829345
    {'aut_label': '10DU3', 'centralizer': None, 'counter': 586, 'group_counter': 1, 'group_order': 2662000, 'label': '10DW-3', 'order': 10, 'powers': [61, 6, 586], 'representative': 23616031324367008, 'size': 13310}
  • id: 79829346
    {'aut_label': '10DU1', 'centralizer': None, 'counter': 587, 'group_counter': 1, 'group_order': 2662000, 'label': '10DX1', 'order': 10, 'powers': [49, 6, 587], 'representative': 33006356432595139, 'size': 13310}
  • id: 79829347
    {'aut_label': '10DU-1', 'centralizer': None, 'counter': 588, 'group_counter': 1, 'group_order': 2662000, 'label': '10DX-1', 'order': 10, 'powers': [50, 6, 588], 'representative': 3176185541776945, 'size': 13310}
  • id: 79829348
    {'aut_label': '10DU3', 'centralizer': None, 'counter': 589, 'group_counter': 1, 'group_order': 2662000, 'label': '10DX3', 'order': 10, 'powers': [52, 6, 589], 'representative': 19678630204169540, 'size': 13310}
  • id: 79829350
    {'aut_label': '10DU-3', 'centralizer': None, 'counter': 590, 'group_counter': 1, 'group_order': 2662000, 'label': '10DX-3', 'order': 10, 'powers': [51, 6, 590], 'representative': 38979210619457897, 'size': 13310}
  • id: 79829351
    {'aut_label': '10DU3', 'centralizer': None, 'counter': 591, 'group_counter': 1, 'group_order': 2662000, 'label': '10DY1', 'order': 10, 'powers': [60, 6, 591], 'representative': 37831532320337506, 'size': 13310}
  • id: 79829352
    {'aut_label': '10DU-3', 'centralizer': None, 'counter': 592, 'group_counter': 1, 'group_order': 2662000, 'label': '10DY-1', 'order': 10, 'powers': [59, 6, 592], 'representative': 9581307533447425, 'size': 13310}
  • id: 79829353
    {'aut_label': '10DU-1', 'centralizer': None, 'counter': 593, 'group_counter': 1, 'group_order': 2662000, 'label': '10DY3', 'order': 10, 'powers': [58, 6, 593], 'representative': 44691822797093500, 'size': 13310}
  • id: 79829354
    {'aut_label': '10DU1', 'centralizer': None, 'counter': 594, 'group_counter': 1, 'group_order': 2662000, 'label': '10DY-3', 'order': 10, 'powers': [57, 6, 594], 'representative': 14734867448765238, 'size': 13310}
  • id: 79829355
    {'aut_label': '10DR3', 'centralizer': None, 'counter': 595, 'group_counter': 1, 'group_order': 2662000, 'label': '10DZ1', 'order': 10, 'powers': [55, 4, 595], 'representative': 33594170321154518, 'size': 13310}
  • id: 79829356
    {'aut_label': '10DR-3', 'centralizer': None, 'counter': 596, 'group_counter': 1, 'group_order': 2662000, 'label': '10DZ-1', 'order': 10, 'powers': [56, 4, 596], 'representative': 41219558443103422, 'size': 13310}
  • id: 79829357
    {'aut_label': '10DR-1', 'centralizer': None, 'counter': 597, 'group_counter': 1, 'group_order': 2662000, 'label': '10DZ3', 'order': 10, 'powers': [53, 4, 597], 'representative': 17827817912922982, 'size': 13310}
  • id: 79829358
    {'aut_label': '10DR1', 'centralizer': None, 'counter': 598, 'group_counter': 1, 'group_order': 2662000, 'label': '10DZ-3', 'order': 10, 'powers': [54, 4, 598], 'representative': 35685239691169072, 'size': 13310}
  • id: 79829359
    {'aut_label': '10DR3', 'centralizer': None, 'counter': 599, 'group_counter': 1, 'group_order': 2662000, 'label': '10EA1', 'order': 10, 'powers': [60, 4, 599], 'representative': 36920017352813344, 'size': 13310}
  • id: 79829362
    {'aut_label': '10DR-3', 'centralizer': None, 'counter': 600, 'group_counter': 1, 'group_order': 2662000, 'label': '10EA-1', 'order': 10, 'powers': [59, 4, 600], 'representative': 26202237527116169, 'size': 13310}
  • id: 79829363
    {'aut_label': '10DR-1', 'centralizer': None, 'counter': 601, 'group_counter': 1, 'group_order': 2662000, 'label': '10EA3', 'order': 10, 'powers': [58, 4, 601], 'representative': 4069822773034703, 'size': 13310}
  • id: 79829364
    {'aut_label': '10DR1', 'centralizer': None, 'counter': 602, 'group_counter': 1, 'group_order': 2662000, 'label': '10EA-3', 'order': 10, 'powers': [57, 4, 602], 'representative': 18086885061904274, 'size': 13310}
  • id: 79829365
    {'aut_label': '11A', 'centralizer': None, 'counter': 603, 'group_counter': 1, 'group_order': 2662000, 'label': '11A', 'order': 11, 'powers': [603, 603, 1], 'representative': 385345381141492, 'size': 10}
  • id: 79829366
    {'aut_label': '11B', 'centralizer': None, 'counter': 604, 'group_counter': 1, 'group_order': 2662000, 'label': '11B', 'order': 11, 'powers': [604, 604, 1], 'representative': 268510436043533, 'size': 20}
  • id: 79829367
    {'aut_label': '11C', 'centralizer': None, 'counter': 605, 'group_counter': 1, 'group_order': 2662000, 'label': '11C', 'order': 11, 'powers': [605, 605, 1], 'representative': 913344853734601, 'size': 50}
  • id: 79829368
    {'aut_label': '11D', 'centralizer': None, 'counter': 606, 'group_counter': 1, 'group_order': 2662000, 'label': '11D', 'order': 11, 'powers': [606, 606, 1], 'representative': 8239411230573458, 'size': 50}
  • id: 79829369
    {'aut_label': '11E', 'centralizer': None, 'counter': 607, 'group_counter': 1, 'group_order': 2662000, 'label': '11E', 'order': 11, 'powers': [607, 607, 1], 'representative': 382914236908238, 'size': 100}
  • id: 79829370
    {'aut_label': '11E', 'centralizer': None, 'counter': 608, 'group_counter': 1, 'group_order': 2662000, 'label': '11F', 'order': 11, 'powers': [608, 608, 1], 'representative': 384666168843255, 'size': 100}
  • id: 79829371
    {'aut_label': '11E', 'centralizer': None, 'counter': 609, 'group_counter': 1, 'group_order': 2662000, 'label': '11G', 'order': 11, 'powers': [609, 609, 1], 'representative': 3915353926057422, 'size': 100}
  • id: 79829373
    {'aut_label': '11E', 'centralizer': None, 'counter': 610, 'group_counter': 1, 'group_order': 2662000, 'label': '11H', 'order': 11, 'powers': [610, 610, 1], 'representative': 384326651272852, 'size': 100}
  • id: 79829374
    {'aut_label': '11E', 'centralizer': None, 'counter': 611, 'group_counter': 1, 'group_order': 2662000, 'label': '11I', 'order': 11, 'powers': [611, 611, 1], 'representative': 269868683482576, 'size': 100}
  • id: 79829375
    {'aut_label': '11J', 'centralizer': None, 'counter': 612, 'group_counter': 1, 'group_order': 2662000, 'label': '11J', 'order': 11, 'powers': [612, 612, 1], 'representative': 266784441533117, 'size': 100}
  • id: 79829376
    {'aut_label': '11J', 'centralizer': None, 'counter': 613, 'group_counter': 1, 'group_order': 2662000, 'label': '11K', 'order': 11, 'powers': [613, 613, 1], 'representative': 1445841198773556, 'size': 100}
  • id: 79829377
    {'aut_label': '11J', 'centralizer': None, 'counter': 614, 'group_counter': 1, 'group_order': 2662000, 'label': '11L', 'order': 11, 'powers': [614, 614, 1], 'representative': 32863305204575159, 'size': 100}
  • id: 79829378
    {'aut_label': '11J', 'centralizer': None, 'counter': 615, 'group_counter': 1, 'group_order': 2662000, 'label': '11M', 'order': 11, 'powers': [615, 615, 1], 'representative': 36658398512529117, 'size': 100}
  • id: 79829379
    {'aut_label': '11J', 'centralizer': None, 'counter': 616, 'group_counter': 1, 'group_order': 2662000, 'label': '11N', 'order': 11, 'powers': [616, 616, 1], 'representative': 31686653888151807, 'size': 100}
  • id: 79829380
    {'aut_label': '11O', 'centralizer': None, 'counter': 617, 'group_counter': 1, 'group_order': 2662000, 'label': '11O', 'order': 11, 'powers': [617, 617, 1], 'representative': 3763234817922186, 'size': 200}
  • id: 79829381
    {'aut_label': '20A1', 'centralizer': None, 'counter': 618, 'group_counter': 1, 'group_order': 2662000, 'label': '20A1', 'order': 20, 'powers': [85, 9, 618], 'representative': 32521355460439666, 'size': 110}
  • id: 79829382
    {'aut_label': '20A1', 'centralizer': None, 'counter': 619, 'group_counter': 1, 'group_order': 2662000, 'label': '20A-1', 'order': 20, 'powers': [86, 9, 619], 'representative': 39426986792986626, 'size': 110}
  • id: 79829384
    {'aut_label': '20A1', 'centralizer': None, 'counter': 620, 'group_counter': 1, 'group_order': 2662000, 'label': '20A3', 'order': 20, 'powers': [87, 9, 620], 'representative': 14535983054145886, 'size': 110}
  • id: 79829385
    {'aut_label': '20A1', 'centralizer': None, 'counter': 621, 'group_counter': 1, 'group_order': 2662000, 'label': '20A-3', 'order': 20, 'powers': [88, 9, 621], 'representative': 42879802459260106, 'size': 110}
  • id: 79829386
    {'aut_label': '20B1', 'centralizer': None, 'counter': 622, 'group_counter': 1, 'group_order': 2662000, 'label': '20B1', 'order': 20, 'powers': [88, 10, 622], 'representative': 19138285763806073, 'size': 1210}
  • id: 79829387
    {'aut_label': '20B1', 'centralizer': None, 'counter': 623, 'group_counter': 1, 'group_order': 2662000, 'label': '20B-1', 'order': 20, 'powers': [87, 10, 623], 'representative': 43668297508583980, 'size': 1210}
  • id: 79829388
    {'aut_label': '20B1', 'centralizer': None, 'counter': 624, 'group_counter': 1, 'group_order': 2662000, 'label': '20B3', 'order': 20, 'powers': [85, 10, 624], 'representative': 28707259935452301, 'size': 1210}
  • id: 79829389
    {'aut_label': '20B1', 'centralizer': None, 'counter': 625, 'group_counter': 1, 'group_order': 2662000, 'label': '20B-3', 'order': 20, 'powers': [86, 10, 625], 'representative': 16442267022039383, 'size': 1210}
  • id: 79829390
    {'aut_label': '20C1', 'centralizer': None, 'counter': 626, 'group_counter': 1, 'group_order': 2662000, 'label': '20C1', 'order': 20, 'powers': [243, 10, 626], 'representative': 10651190545372094, 'size': 13310}
  • id: 79829391
    {'aut_label': '20C-1', 'centralizer': None, 'counter': 627, 'group_counter': 1, 'group_order': 2662000, 'label': '20C-1', 'order': 20, 'powers': [244, 10, 627], 'representative': 39757756871256342, 'size': 13310}
  • id: 79829392
    {'aut_label': '20C3', 'centralizer': None, 'counter': 628, 'group_counter': 1, 'group_order': 2662000, 'label': '20C3', 'order': 20, 'powers': [245, 10, 628], 'representative': 34501609835949938, 'size': 13310}
  • id: 79829393
    {'aut_label': '20C-3', 'centralizer': None, 'counter': 629, 'group_counter': 1, 'group_order': 2662000, 'label': '20C-3', 'order': 20, 'powers': [246, 10, 629], 'representative': 111382345117072, 'size': 13310}
  • id: 79829395
    {'aut_label': '20C3', 'centralizer': None, 'counter': 630, 'group_counter': 1, 'group_order': 2662000, 'label': '20D1', 'order': 20, 'powers': [247, 10, 630], 'representative': 40741583854461661, 'size': 13310}
  • id: 79829396
    {'aut_label': '20C-3', 'centralizer': None, 'counter': 631, 'group_counter': 1, 'group_order': 2662000, 'label': '20D-1', 'order': 20, 'powers': [248, 10, 631], 'representative': 43023360195365532, 'size': 13310}
  • id: 79829397
    {'aut_label': '20C-1', 'centralizer': None, 'counter': 632, 'group_counter': 1, 'group_order': 2662000, 'label': '20D3', 'order': 20, 'powers': [249, 10, 632], 'representative': 32531239414115638, 'size': 13310}
  • id: 79829398
    {'aut_label': '20C1', 'centralizer': None, 'counter': 633, 'group_counter': 1, 'group_order': 2662000, 'label': '20D-3', 'order': 20, 'powers': [250, 10, 633], 'representative': 24968966312892271, 'size': 13310}
  • id: 79829399
    {'aut_label': '20E1', 'centralizer': None, 'counter': 634, 'group_counter': 1, 'group_order': 2662000, 'label': '20E1', 'order': 20, 'powers': [248, 9, 634], 'representative': 39053865800919546, 'size': 13310}
  • id: 79829400
    {'aut_label': '20E-1', 'centralizer': None, 'counter': 635, 'group_counter': 1, 'group_order': 2662000, 'label': '20E-1', 'order': 20, 'powers': [247, 9, 635], 'representative': 35074861332140981, 'size': 13310}
  • id: 79829401
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  • id: 79829402
    {'aut_label': '20E-3', 'centralizer': None, 'counter': 637, 'group_counter': 1, 'group_order': 2662000, 'label': '20E-3', 'order': 20, 'powers': [249, 9, 637], 'representative': 6098146657133771, 'size': 13310}
  • id: 79829403
    {'aut_label': '20C3', 'centralizer': None, 'counter': 638, 'group_counter': 1, 'group_order': 2662000, 'label': '20F1', 'order': 20, 'powers': [251, 10, 638], 'representative': 197287415233051, 'size': 13310}
  • id: 79829404
    {'aut_label': '20C-3', 'centralizer': None, 'counter': 639, 'group_counter': 1, 'group_order': 2662000, 'label': '20F-1', 'order': 20, 'powers': [252, 10, 639], 'representative': 2180824985577337, 'size': 13310}
  • id: 79829406
    {'aut_label': '20C-1', 'centralizer': None, 'counter': 640, 'group_counter': 1, 'group_order': 2662000, 'label': '20F3', 'order': 20, 'powers': [253, 10, 640], 'representative': 3304803479130813, 'size': 13310}
  • id: 79829407
    {'aut_label': '20C1', 'centralizer': None, 'counter': 641, 'group_counter': 1, 'group_order': 2662000, 'label': '20F-3', 'order': 20, 'powers': [254, 10, 641], 'representative': 2154564846596976, 'size': 13310}
  • id: 79829408
    {'aut_label': '20E-3', 'centralizer': None, 'counter': 642, 'group_counter': 1, 'group_order': 2662000, 'label': '20G1', 'order': 20, 'powers': [244, 9, 642], 'representative': 33328370017643277, 'size': 13310}
  • id: 79829409
    {'aut_label': '20E3', 'centralizer': None, 'counter': 643, 'group_counter': 1, 'group_order': 2662000, 'label': '20G-1', 'order': 20, 'powers': [243, 9, 643], 'representative': 11823230740038349, 'size': 13310}
  • id: 79829410
    {'aut_label': '20E1', 'centralizer': None, 'counter': 644, 'group_counter': 1, 'group_order': 2662000, 'label': '20G3', 'order': 20, 'powers': [246, 9, 644], 'representative': 31403662353415856, 'size': 13310}
  • id: 79829411
    {'aut_label': '20E-1', 'centralizer': None, 'counter': 645, 'group_counter': 1, 'group_order': 2662000, 'label': '20G-3', 'order': 20, 'powers': [245, 9, 645], 'representative': 32027762341795465, 'size': 13310}
  • id: 79829412
    {'aut_label': '20E-3', 'centralizer': None, 'counter': 646, 'group_counter': 1, 'group_order': 2662000, 'label': '20H1', 'order': 20, 'powers': [253, 9, 646], 'representative': 38632679282029780, 'size': 13310}
  • id: 79829413
    {'aut_label': '20E3', 'centralizer': None, 'counter': 647, 'group_counter': 1, 'group_order': 2662000, 'label': '20H-1', 'order': 20, 'powers': [254, 9, 647], 'representative': 6596952067828781, 'size': 13310}
  • id: 79829414
    {'aut_label': '20E1', 'centralizer': None, 'counter': 648, 'group_counter': 1, 'group_order': 2662000, 'label': '20H3', 'order': 20, 'powers': [252, 9, 648], 'representative': 29208341625261881, 'size': 13310}
  • id: 79829415
    {'aut_label': '20E-1', 'centralizer': None, 'counter': 649, 'group_counter': 1, 'group_order': 2662000, 'label': '20H-3', 'order': 20, 'powers': [251, 9, 649], 'representative': 9634354193642957, 'size': 13310}
  • id: 79829417
    {'aut_label': '20C-1', 'centralizer': None, 'counter': 650, 'group_counter': 1, 'group_order': 2662000, 'label': '20I1', 'order': 20, 'powers': [255, 10, 650], 'representative': 11826903726057263, 'size': 13310}
  • id: 79829418
    {'aut_label': '20C1', 'centralizer': None, 'counter': 651, 'group_counter': 1, 'group_order': 2662000, 'label': '20I-1', 'order': 20, 'powers': [256, 10, 651], 'representative': 36610514309591774, 'size': 13310}
  • id: 79829419
    {'aut_label': '20C-3', 'centralizer': None, 'counter': 652, 'group_counter': 1, 'group_order': 2662000, 'label': '20I3', 'order': 20, 'powers': [257, 10, 652], 'representative': 37007737276423855, 'size': 13310}
  • id: 79829420
    {'aut_label': '20C3', 'centralizer': None, 'counter': 653, 'group_counter': 1, 'group_order': 2662000, 'label': '20I-3', 'order': 20, 'powers': [258, 10, 653], 'representative': 29555114577761814, 'size': 13310}
  • id: 79829421
    {'aut_label': '20E-1', 'centralizer': None, 'counter': 654, 'group_counter': 1, 'group_order': 2662000, 'label': '20J1', 'order': 20, 'powers': [258, 9, 654], 'representative': 13964415033826613, 'size': 13310}
  • id: 79829422
    {'aut_label': '20E1', 'centralizer': None, 'counter': 655, 'group_counter': 1, 'group_order': 2662000, 'label': '20J-1', 'order': 20, 'powers': [257, 9, 655], 'representative': 31570039966256404, 'size': 13310}
  • id: 79829423
    {'aut_label': '20E-3', 'centralizer': None, 'counter': 656, 'group_counter': 1, 'group_order': 2662000, 'label': '20J3', 'order': 20, 'powers': [255, 9, 656], 'representative': 23490150043093258, 'size': 13310}
  • id: 79829424
    {'aut_label': '20E3', 'centralizer': None, 'counter': 657, 'group_counter': 1, 'group_order': 2662000, 'label': '20J-3', 'order': 20, 'powers': [256, 9, 657], 'representative': 16584518710546298, 'size': 13310}
  • id: 79829425
    {'aut_label': '20E1', 'centralizer': None, 'counter': 658, 'group_counter': 1, 'group_order': 2662000, 'label': '20K1', 'order': 20, 'powers': [259, 9, 658], 'representative': 36524202906322589, 'size': 13310}
  • id: 79829426
    {'aut_label': '20E-1', 'centralizer': None, 'counter': 659, 'group_counter': 1, 'group_order': 2662000, 'label': '20K-1', 'order': 20, 'powers': [260, 9, 659], 'representative': 7761159684361422, 'size': 13310}
  • id: 79829428
    {'aut_label': '20E3', 'centralizer': None, 'counter': 660, 'group_counter': 1, 'group_order': 2662000, 'label': '20K3', 'order': 20, 'powers': [261, 9, 660], 'representative': 10906510048313122, 'size': 13310}
  • id: 79829429
    {'aut_label': '20E-3', 'centralizer': None, 'counter': 661, 'group_counter': 1, 'group_order': 2662000, 'label': '20K-3', 'order': 20, 'powers': [262, 9, 661], 'representative': 26430014634031834, 'size': 13310}
  • id: 79829430
    {'aut_label': '20C-3', 'centralizer': None, 'counter': 662, 'group_counter': 1, 'group_order': 2662000, 'label': '20L1', 'order': 20, 'powers': [259, 10, 662], 'representative': 43634460134164915, 'size': 13310}
  • id: 79829431
    {'aut_label': '20C3', 'centralizer': None, 'counter': 663, 'group_counter': 1, 'group_order': 2662000, 'label': '20L-1', 'order': 20, 'powers': [260, 10, 663], 'representative': 5084804726080571, 'size': 13310}
  • id: 79829432
    {'aut_label': '20C1', 'centralizer': None, 'counter': 664, 'group_counter': 1, 'group_order': 2662000, 'label': '20L3', 'order': 20, 'powers': [261, 10, 664], 'representative': 8087715948903417, 'size': 13310}
  • id: 79829433
    {'aut_label': '20C-1', 'centralizer': None, 'counter': 665, 'group_counter': 1, 'group_order': 2662000, 'label': '20L-3', 'order': 20, 'powers': [262, 10, 665], 'representative': 45575162153456666, 'size': 13310}
  • id: 79829434
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  • id: 79829435
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  • id: 79829436
    {'aut_label': '22C', 'centralizer': None, 'counter': 668, 'group_counter': 1, 'group_order': 2662000, 'label': '22C', 'order': 22, 'powers': [606, 668, 2], 'representative': 27773025975945561, 'size': 50}
  • id: 79829437
    {'aut_label': '22D', 'centralizer': None, 'counter': 669, 'group_counter': 1, 'group_order': 2662000, 'label': '22D', 'order': 22, 'powers': [605, 669, 2], 'representative': 14567073881438821, 'size': 50}
  • id: 79829439
    {'aut_label': '22E', 'centralizer': None, 'counter': 670, 'group_counter': 1, 'group_order': 2662000, 'label': '22E', 'order': 22, 'powers': [607, 670, 2], 'representative': 22800941640896247, 'size': 100}
  • id: 79829440
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  • id: 79829441
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  • id: 79829442
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  • id: 79829443
    {'aut_label': '22E', 'centralizer': None, 'counter': 674, 'group_counter': 1, 'group_order': 2662000, 'label': '22I', 'order': 22, 'powers': [611, 674, 2], 'representative': 20979142149478594, 'size': 100}
  • id: 79829444
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  • id: 79829445
    {'aut_label': '22J', 'centralizer': None, 'counter': 676, 'group_counter': 1, 'group_order': 2662000, 'label': '22K', 'order': 22, 'powers': [613, 676, 2], 'representative': 22650682837521391, 'size': 100}
  • id: 79829446
    {'aut_label': '22J', 'centralizer': None, 'counter': 677, 'group_counter': 1, 'group_order': 2662000, 'label': '22L', 'order': 22, 'powers': [614, 677, 2], 'representative': 29745899936889600, 'size': 100}
  • id: 79829447
    {'aut_label': '22J', 'centralizer': None, 'counter': 678, 'group_counter': 1, 'group_order': 2662000, 'label': '22M', 'order': 22, 'powers': [615, 678, 2], 'representative': 6943152179256356, 'size': 100}
  • id: 79829448
    {'aut_label': '22J', 'centralizer': None, 'counter': 679, 'group_counter': 1, 'group_order': 2662000, 'label': '22N', 'order': 22, 'powers': [616, 679, 2], 'representative': 32593752657457037, 'size': 100}
  • id: 79829450
    {'aut_label': '22O', 'centralizer': None, 'counter': 680, 'group_counter': 1, 'group_order': 2662000, 'label': '22O', 'order': 22, 'powers': [617, 680, 2], 'representative': 21473298122387060, 'size': 200}
  • id: 79829451
    {'aut_label': '22P', 'centralizer': None, 'counter': 681, 'group_counter': 1, 'group_order': 2662000, 'label': '22P', 'order': 22, 'powers': [604, 681, 3], 'representative': 20943353341351731, 'size': 220}
  • id: 79829452
    {'aut_label': '22P', 'centralizer': None, 'counter': 682, 'group_counter': 1, 'group_order': 2662000, 'label': '22Q', 'order': 22, 'powers': [604, 682, 3], 'representative': 25424101105153560, 'size': 220}
  • id: 79829453
    {'aut_label': '22R', 'centralizer': None, 'counter': 683, 'group_counter': 1, 'group_order': 2662000, 'label': '22R', 'order': 22, 'powers': [603, 683, 4], 'representative': 32457745756948665, 'size': 1100}
  • id: 79829454
    {'aut_label': '22S', 'centralizer': None, 'counter': 684, 'group_counter': 1, 'group_order': 2662000, 'label': '22S', 'order': 22, 'powers': [605, 684, 4], 'representative': 11780401139409117, 'size': 1100}
  • id: 79829455
    {'aut_label': '22T', 'centralizer': None, 'counter': 685, 'group_counter': 1, 'group_order': 2662000, 'label': '22T', 'order': 22, 'powers': [609, 685, 4], 'representative': 7188496583276473, 'size': 1100}
  • id: 79829456
    {'aut_label': '22T', 'centralizer': None, 'counter': 686, 'group_counter': 1, 'group_order': 2662000, 'label': '22U', 'order': 22, 'powers': [611, 686, 4], 'representative': 12574809521012440, 'size': 1100}
  • id: 79829457
    {'aut_label': '22T', 'centralizer': None, 'counter': 687, 'group_counter': 1, 'group_order': 2662000, 'label': '22V', 'order': 22, 'powers': [608, 687, 4], 'representative': 2217127699943189, 'size': 1100}
  • id: 79829458
    {'aut_label': '22T', 'centralizer': None, 'counter': 688, 'group_counter': 1, 'group_order': 2662000, 'label': '22W', 'order': 22, 'powers': [607, 688, 4], 'representative': 22517858750971918, 'size': 1100}
  • id: 79829459
    {'aut_label': '22T', 'centralizer': None, 'counter': 689, 'group_counter': 1, 'group_order': 2662000, 'label': '22X', 'order': 22, 'powers': [610, 689, 4], 'representative': 43195177433019598, 'size': 1100}
  • id: 79829461
    {'aut_label': '22T', 'centralizer': None, 'counter': 690, 'group_counter': 1, 'group_order': 2662000, 'label': '22Y', 'order': 22, 'powers': [608, 690, 4], 'representative': 2377845286414015, 'size': 1100}
  • id: 79829462
    {'aut_label': '22T', 'centralizer': None, 'counter': 691, 'group_counter': 1, 'group_order': 2662000, 'label': '22Z', 'order': 22, 'powers': [609, 691, 4], 'representative': 43356206052292691, 'size': 1100}
  • id: 79829463
    {'aut_label': '22T', 'centralizer': None, 'counter': 692, 'group_counter': 1, 'group_order': 2662000, 'label': '22AA', 'order': 22, 'powers': [607, 692, 4], 'representative': 28026844098957458, 'size': 1100}
  • id: 79829464
    {'aut_label': '22T', 'centralizer': None, 'counter': 693, 'group_counter': 1, 'group_order': 2662000, 'label': '22AB', 'order': 22, 'powers': [610, 693, 4], 'representative': 7349499479485177, 'size': 1100}
  • id: 79829465
    {'aut_label': '22T', 'centralizer': None, 'counter': 694, 'group_counter': 1, 'group_order': 2662000, 'label': '22AC', 'order': 22, 'powers': [611, 694, 4], 'representative': 33792645157568673, 'size': 1100}
  • id: 79829466
    {'aut_label': '22AD', 'centralizer': None, 'counter': 695, 'group_counter': 1, 'group_order': 2662000, 'label': '22AD', 'order': 22, 'powers': [605, 695, 3], 'representative': 29863313589738716, 'size': 1100}
  • id: 79829467
    {'aut_label': '22AE', 'centralizer': None, 'counter': 696, 'group_counter': 1, 'group_order': 2662000, 'label': '22AE', 'order': 22, 'powers': [606, 696, 3], 'representative': 14684917731154834, 'size': 1100}
  • id: 79829468
    {'aut_label': '22AF', 'centralizer': None, 'counter': 697, 'group_counter': 1, 'group_order': 2662000, 'label': '22AF', 'order': 22, 'powers': [603, 697, 5], 'representative': 27246061255281336, 'size': 2420}
  • id: 79829469
    {'aut_label': '22AG', 'centralizer': None, 'counter': 698, 'group_counter': 1, 'group_order': 2662000, 'label': '22AG', 'order': 22, 'powers': [606, 698, 6], 'representative': 24507934818692625, 'size': 12100}
  • id: 79829470
    {'aut_label': '44A', 'centralizer': None, 'counter': 699, 'group_counter': 1, 'group_order': 2662000, 'label': '44A', 'order': 44, 'powers': [666, 699, 9], 'representative': 36354648628985084, 'size': 1100}
  • id: 79829473
    {'aut_label': '44B', 'centralizer': None, 'counter': 700, 'group_counter': 1, 'group_order': 2662000, 'label': '44B', 'order': 44, 'powers': [668, 700, 9], 'representative': 27223204941904055, 'size': 1100}
  • id: 79829474
    {'aut_label': '44C1', 'centralizer': None, 'counter': 701, 'group_counter': 1, 'group_order': 2662000, 'label': '44C1', 'order': 44, 'powers': [675, 701, 9], 'representative': 26380333773834223, 'size': 1100}
  • id: 79829475
    {'aut_label': '44C1', 'centralizer': None, 'counter': 702, 'group_counter': 1, 'group_order': 2662000, 'label': '44C-1', 'order': 44, 'powers': [675, 702, 9], 'representative': 17334863898285015, 'size': 1100}
  • id: 79829476
    {'aut_label': '44C1', 'centralizer': None, 'counter': 703, 'group_counter': 1, 'group_order': 2662000, 'label': '44D1', 'order': 44, 'powers': [676, 703, 9], 'representative': 3019745964037330, 'size': 1100}
  • id: 79829477
    {'aut_label': '44C1', 'centralizer': None, 'counter': 704, 'group_counter': 1, 'group_order': 2662000, 'label': '44D-1', 'order': 44, 'powers': [676, 704, 9], 'representative': 396877763715004, 'size': 1100}
  • id: 79829478
    {'aut_label': '44C1', 'centralizer': None, 'counter': 705, 'group_counter': 1, 'group_order': 2662000, 'label': '44E1', 'order': 44, 'powers': [677, 705, 9], 'representative': 29348692795288734, 'size': 1100}
  • id: 79829479
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  • id: 79829480
    {'aut_label': '44C1', 'centralizer': None, 'counter': 707, 'group_counter': 1, 'group_order': 2662000, 'label': '44F1', 'order': 44, 'powers': [678, 707, 9], 'representative': 2789414983529306, 'size': 1100}
  • id: 79829481
    {'aut_label': '44C1', 'centralizer': None, 'counter': 708, 'group_counter': 1, 'group_order': 2662000, 'label': '44F-1', 'order': 44, 'powers': [678, 708, 9], 'representative': 3134927514090460, 'size': 1100}
  • id: 79829482
    {'aut_label': '44C1', 'centralizer': None, 'counter': 709, 'group_counter': 1, 'group_order': 2662000, 'label': '44G1', 'order': 44, 'powers': [679, 709, 9], 'representative': 23281527936428194, 'size': 1100}
  • id: 79829484
    {'aut_label': '44C1', 'centralizer': None, 'counter': 710, 'group_counter': 1, 'group_order': 2662000, 'label': '44G-1', 'order': 44, 'powers': [679, 710, 9], 'representative': 32879074705907612, 'size': 1100}
  • id: 79829485
    {'aut_label': '44H', 'centralizer': None, 'counter': 711, 'group_counter': 1, 'group_order': 2662000, 'label': '44H', 'order': 44, 'powers': [669, 711, 10], 'representative': 3806612738142925, 'size': 12100}
  • id: 79829486
    {'aut_label': '55A1', 'centralizer': None, 'counter': 712, 'group_counter': 1, 'group_order': 2662000, 'label': '55A1', 'order': 55, 'powers': [714, 603, 13], 'representative': 17094441807375147, 'size': 10}
  • id: 79829487
    {'aut_label': '55A1', 'centralizer': None, 'counter': 713, 'group_counter': 1, 'group_order': 2662000, 'label': '55A-1', 'order': 55, 'powers': [715, 603, 14], 'representative': 11035001940795827, 'size': 10}
  • id: 79829488
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  • id: 79829489
    {'aut_label': '55A1', 'centralizer': None, 'counter': 715, 'group_counter': 1, 'group_order': 2662000, 'label': '55A-2', 'order': 55, 'powers': [712, 603, 11], 'representative': 43689118292493485, 'size': 10}
  • id: 79829490
    {'aut_label': '55B1', 'centralizer': None, 'counter': 716, 'group_counter': 1, 'group_order': 2662000, 'label': '55B1', 'order': 55, 'powers': [718, 604, 11], 'representative': 4530869370921626, 'size': 20}
  • id: 79829491
    {'aut_label': '55B1', 'centralizer': None, 'counter': 717, 'group_counter': 1, 'group_order': 2662000, 'label': '55B-1', 'order': 55, 'powers': [719, 604, 12], 'representative': 33742181513076639, 'size': 20}
  • id: 79829492
    {'aut_label': '55B1', 'centralizer': None, 'counter': 718, 'group_counter': 1, 'group_order': 2662000, 'label': '55B2', 'order': 55, 'powers': [717, 604, 13], 'representative': 12651429861039394, 'size': 20}
  • id: 79829493
    {'aut_label': '55B1', 'centralizer': None, 'counter': 719, 'group_counter': 1, 'group_order': 2662000, 'label': '55B-2', 'order': 55, 'powers': [716, 604, 14], 'representative': 25417239905928135, 'size': 20}
  • id: 79829495
    {'aut_label': '55C1', 'centralizer': None, 'counter': 720, 'group_counter': 1, 'group_order': 2662000, 'label': '55C1', 'order': 55, 'powers': [722, 605, 13], 'representative': 17622441281739817, 'size': 50}
  • id: 79829496
    {'aut_label': '55C1', 'centralizer': None, 'counter': 721, 'group_counter': 1, 'group_order': 2662000, 'label': '55C-1', 'order': 55, 'powers': [723, 605, 14], 'representative': 9707304235873898, 'size': 50}
  • id: 79829497
    {'aut_label': '55C1', 'centralizer': None, 'counter': 722, 'group_counter': 1, 'group_order': 2662000, 'label': '55C2', 'order': 55, 'powers': [721, 605, 12], 'representative': 20387300818808805, 'size': 50}
  • id: 79829498
    {'aut_label': '55C1', 'centralizer': None, 'counter': 723, 'group_counter': 1, 'group_order': 2662000, 'label': '55C-2', 'order': 55, 'powers': [720, 605, 11], 'representative': 45890356414607747, 'size': 50}
  • id: 79829499
    {'aut_label': '55D1', 'centralizer': None, 'counter': 724, 'group_counter': 1, 'group_order': 2662000, 'label': '55D1', 'order': 55, 'powers': [726, 606, 12], 'representative': 14886877314681749, 'size': 50}
  • id: 79829500
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  • id: 79829501
    {'aut_label': '55D1', 'centralizer': None, 'counter': 726, 'group_counter': 1, 'group_order': 2662000, 'label': '55D2', 'order': 55, 'powers': [725, 606, 14], 'representative': 38772851910397581, 'size': 50}
  • id: 79829502
    {'aut_label': '55D1', 'centralizer': None, 'counter': 727, 'group_counter': 1, 'group_order': 2662000, 'label': '55D-2', 'order': 55, 'powers': [724, 606, 13], 'representative': 21948618284749293, 'size': 50}
  • id: 79829503
    {'aut_label': '55E1', 'centralizer': None, 'counter': 728, 'group_counter': 1, 'group_order': 2662000, 'label': '55E1', 'order': 55, 'powers': [730, 607, 14], 'representative': 22418027423650872, 'size': 100}
  • id: 79829504
    {'aut_label': '55E1', 'centralizer': None, 'counter': 729, 'group_counter': 1, 'group_order': 2662000, 'label': '55E-1', 'order': 55, 'powers': [731, 607, 13], 'representative': 28892501520682243, 'size': 100}
  • id: 79829506
    {'aut_label': '55E1', 'centralizer': None, 'counter': 730, 'group_counter': 1, 'group_order': 2662000, 'label': '55E2', 'order': 55, 'powers': [729, 607, 11], 'representative': 39892666972704666, 'size': 100}
  • id: 79829507
    {'aut_label': '55E1', 'centralizer': None, 'counter': 731, 'group_counter': 1, 'group_order': 2662000, 'label': '55E-2', 'order': 55, 'powers': [728, 607, 12], 'representative': 8737462450910846, 'size': 100}
  • id: 79829508
    {'aut_label': '55E1', 'centralizer': None, 'counter': 732, 'group_counter': 1, 'group_order': 2662000, 'label': '55F1', 'order': 55, 'powers': [734, 608, 11], 'representative': 5328108208418541, 'size': 100}
  • id: 79829509
    {'aut_label': '55E1', 'centralizer': None, 'counter': 733, 'group_counter': 1, 'group_order': 2662000, 'label': '55F-1', 'order': 55, 'powers': [735, 608, 12], 'representative': 35716411381211911, 'size': 100}
  • id: 79829510
    {'aut_label': '55E1', 'centralizer': None, 'counter': 734, 'group_counter': 1, 'group_order': 2662000, 'label': '55F2', 'order': 55, 'powers': [733, 608, 13], 'representative': 13297990273240878, 'size': 100}
  • id: 79829511
    {'aut_label': '55E1', 'centralizer': None, 'counter': 735, 'group_counter': 1, 'group_order': 2662000, 'label': '55F-2', 'order': 55, 'powers': [732, 608, 14], 'representative': 26214193431754439, 'size': 100}
  • id: 79829512
    {'aut_label': '55E1', 'centralizer': None, 'counter': 736, 'group_counter': 1, 'group_order': 2662000, 'label': '55G1', 'order': 55, 'powers': [738, 609, 11], 'representative': 7531126530957652, 'size': 100}
  • id: 79829513
    {'aut_label': '55E1', 'centralizer': None, 'counter': 737, 'group_counter': 1, 'group_order': 2662000, 'label': '55G-1', 'order': 55, 'powers': [739, 609, 12], 'representative': 35565758893341081, 'size': 100}
  • id: 79829514
    {'aut_label': '55E1', 'centralizer': None, 'counter': 738, 'group_counter': 1, 'group_order': 2662000, 'label': '55G2', 'order': 55, 'powers': [737, 609, 13], 'representative': 16182117637901783, 'size': 100}
  • id: 79829515
    {'aut_label': '55E1', 'centralizer': None, 'counter': 739, 'group_counter': 1, 'group_order': 2662000, 'label': '55G-2', 'order': 55, 'powers': [736, 609, 14], 'representative': 28417497064192600, 'size': 100}
  • id: 79829517
    {'aut_label': '55E1', 'centralizer': None, 'counter': 740, 'group_counter': 1, 'group_order': 2662000, 'label': '55H1', 'order': 55, 'powers': [742, 610, 13], 'representative': 17093423079278068, 'size': 100}
  • id: 79829518
    {'aut_label': '55E1', 'centralizer': None, 'counter': 741, 'group_counter': 1, 'group_order': 2662000, 'label': '55H-1', 'order': 55, 'powers': [743, 610, 14], 'representative': 11035341458366230, 'size': 100}
  • id: 79829519
    {'aut_label': '55E1', 'centralizer': None, 'counter': 742, 'group_counter': 1, 'group_order': 2662000, 'label': '55H2', 'order': 55, 'powers': [741, 610, 12], 'representative': 20539705258116464, 'size': 100}
  • id: 79829520
    {'aut_label': '55E1', 'centralizer': None, 'counter': 743, 'group_counter': 1, 'group_order': 2662000, 'label': '55H-2', 'order': 55, 'powers': [740, 610, 11], 'representative': 43688045592329356, 'size': 100}
  • id: 79829521
    {'aut_label': '55E1', 'centralizer': None, 'counter': 744, 'group_counter': 1, 'group_order': 2662000, 'label': '55I1', 'order': 55, 'powers': [746, 611, 14], 'representative': 21126972111489774, 'size': 100}
  • id: 79829522
    {'aut_label': '55E1', 'centralizer': None, 'counter': 745, 'group_counter': 1, 'group_order': 2662000, 'label': '55I-1', 'order': 55, 'powers': [747, 611, 13], 'representative': 25211500773519548, 'size': 100}
  • id: 79829523
    {'aut_label': '55E1', 'centralizer': None, 'counter': 746, 'group_counter': 1, 'group_order': 2662000, 'label': '55I2', 'order': 55, 'powers': [745, 611, 11], 'representative': 37920134850091790, 'size': 100}
  • id: 79829524
    {'aut_label': '55E1', 'centralizer': None, 'counter': 747, 'group_counter': 1, 'group_order': 2662000, 'label': '55I-2', 'order': 55, 'powers': [744, 611, 12], 'representative': 8624131585814573, 'size': 100}
  • id: 79829525
    {'aut_label': '55J1', 'centralizer': None, 'counter': 748, 'group_counter': 1, 'group_order': 2662000, 'label': '55J1', 'order': 55, 'powers': [750, 612, 13], 'representative': 16975880869538333, 'size': 100}
  • id: 79829526
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  • id: 79829528
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  • id: 79829529
    {'aut_label': '55J1', 'centralizer': None, 'counter': 751, 'group_counter': 1, 'group_order': 2662000, 'label': '55J-2', 'order': 55, 'powers': [748, 612, 11], 'representative': 41863760752550097, 'size': 100}
  • id: 79829530
    {'aut_label': '55J1', 'centralizer': None, 'counter': 752, 'group_counter': 1, 'group_order': 2662000, 'label': '55K1', 'order': 55, 'powers': [754, 613, 13], 'representative': 18154937625007211, 'size': 100}
  • id: 79829531
    {'aut_label': '55J1', 'centralizer': None, 'counter': 753, 'group_counter': 1, 'group_order': 2662000, 'label': '55K-1', 'order': 55, 'powers': [755, 613, 14], 'representative': 12213065905445696, 'size': 100}
  • id: 79829532
    {'aut_label': '55J1', 'centralizer': None, 'counter': 754, 'group_counter': 1, 'group_order': 2662000, 'label': '55K2', 'order': 55, 'powers': [753, 613, 12], 'representative': 19858228215588864, 'size': 100}
  • id: 79829533
    {'aut_label': '55J1', 'centralizer': None, 'counter': 755, 'group_counter': 1, 'group_order': 2662000, 'label': '55K-2', 'order': 55, 'powers': [752, 613, 11], 'representative': 43537053370756350, 'size': 100}
  • id: 79829534
    {'aut_label': '55J1', 'centralizer': None, 'counter': 756, 'group_counter': 1, 'group_order': 2662000, 'label': '55L1', 'order': 55, 'powers': [758, 614, 14], 'representative': 1474429075759031, 'size': 100}
  • id: 79829535
    {'aut_label': '55J1', 'centralizer': None, 'counter': 757, 'group_counter': 1, 'group_order': 2662000, 'label': '55L-1', 'order': 55, 'powers': [759, 614, 13], 'representative': 42745042285590469, 'size': 100}
  • id: 79829536
    {'aut_label': '55J1', 'centralizer': None, 'counter': 758, 'group_counter': 1, 'group_order': 2662000, 'label': '55L2', 'order': 55, 'powers': [757, 614, 11], 'representative': 33330625232272116, 'size': 100}
  • id: 79829537
    {'aut_label': '55J1', 'centralizer': None, 'counter': 759, 'group_counter': 1, 'group_order': 2662000, 'label': '55L-2', 'order': 55, 'powers': [756, 614, 12], 'representative': 41217568106907156, 'size': 100}
  • id: 79829539
    {'aut_label': '55J1', 'centralizer': None, 'counter': 760, 'group_counter': 1, 'group_order': 2662000, 'label': '55M1', 'order': 55, 'powers': [762, 615, 14], 'representative': 20829456516480791, 'size': 100}
  • id: 79829540
    {'aut_label': '55J1', 'centralizer': None, 'counter': 761, 'group_counter': 1, 'group_order': 2662000, 'label': '55M-1', 'order': 55, 'powers': [763, 615, 13], 'representative': 38949663667737461, 'size': 100}
  • id: 79829541
    {'aut_label': '55J1', 'centralizer': None, 'counter': 762, 'group_counter': 1, 'group_order': 2662000, 'label': '55M2', 'order': 55, 'powers': [761, 615, 11], 'representative': 10183357816434160, 'size': 100}
  • id: 79829542
    {'aut_label': '55J1', 'centralizer': None, 'counter': 763, 'group_counter': 1, 'group_order': 2662000, 'label': '55M-2', 'order': 55, 'powers': [760, 615, 12], 'representative': 45012946724760164, 'size': 100}
  • id: 79829543
    {'aut_label': '55J1', 'centralizer': None, 'counter': 764, 'group_counter': 1, 'group_order': 2662000, 'label': '55N1', 'order': 55, 'powers': [766, 616, 13], 'representative': 2445735140914251, 'size': 100}
  • id: 79829544
    {'aut_label': '55J1', 'centralizer': None, 'counter': 765, 'group_counter': 1, 'group_order': 2662000, 'label': '55N-1', 'order': 55, 'powers': [767, 616, 14], 'representative': 32893673476858392, 'size': 100}
  • id: 79829545
    {'aut_label': '55J1', 'centralizer': None, 'counter': 766, 'group_counter': 1, 'group_order': 2662000, 'label': '55N2', 'order': 55, 'powers': [765, 616, 12], 'representative': 35567145389782785, 'size': 100}
  • id: 79829546
    {'aut_label': '55J1', 'centralizer': None, 'counter': 767, 'group_counter': 1, 'group_order': 2662000, 'label': '55N-2', 'order': 55, 'powers': [764, 616, 11], 'representative': 7530393327119835, 'size': 100}
  • id: 79829547
    {'aut_label': '55O1', 'centralizer': None, 'counter': 768, 'group_counter': 1, 'group_order': 2662000, 'label': '55O1', 'order': 55, 'powers': [770, 617, 14], 'representative': 22267374935780042, 'size': 200}
  • id: 79829548
    {'aut_label': '55O1', 'centralizer': None, 'counter': 769, 'group_counter': 1, 'group_order': 2662000, 'label': '55O-1', 'order': 55, 'powers': [771, 617, 13], 'representative': 25857721668150508, 'size': 200}
  • id: 79829550
    {'aut_label': '55O1', 'centralizer': None, 'counter': 770, 'group_counter': 1, 'group_order': 2662000, 'label': '55O2', 'order': 55, 'powers': [769, 617, 11], 'representative': 41565565906253894, 'size': 200}
  • id: 79829551
    {'aut_label': '55O1', 'centralizer': None, 'counter': 771, 'group_counter': 1, 'group_order': 2662000, 'label': '55O-2', 'order': 55, 'powers': [768, 617, 12], 'representative': 12117497720254183, 'size': 200}
  • id: 79829552
    {'aut_label': '55P1', 'centralizer': None, 'counter': 772, 'group_counter': 1, 'group_order': 2662000, 'label': '55P1', 'order': 55, 'powers': [773, 603, 15], 'representative': 33954420004884628, 'size': 2420}
  • id: 79829553
    {'aut_label': '55P2', 'centralizer': None, 'counter': 773, 'group_counter': 1, 'group_order': 2662000, 'label': '55P2', 'order': 55, 'powers': [772, 603, 16], 'representative': 39562370195578160, 'size': 2420}
  • id: 79829554
    {'aut_label': '55Q1', 'centralizer': None, 'counter': 774, 'group_counter': 1, 'group_order': 2662000, 'label': '55Q1', 'order': 55, 'powers': [776, 604, 17], 'representative': 43990580629123140, 'size': 2420}
  • id: 79829555
    {'aut_label': '55Q-1', 'centralizer': None, 'counter': 775, 'group_counter': 1, 'group_order': 2662000, 'label': '55Q-1', 'order': 55, 'powers': [777, 604, 18], 'representative': 20584977072485998, 'size': 2420}
  • id: 79829556
    {'aut_label': '55Q2', 'centralizer': None, 'counter': 776, 'group_counter': 1, 'group_order': 2662000, 'label': '55Q2', 'order': 55, 'powers': [775, 604, 19], 'representative': 45047118073158926, 'size': 2420}
  • id: 79829557
    {'aut_label': '55Q-2', 'centralizer': None, 'counter': 777, 'group_counter': 1, 'group_order': 2662000, 'label': '55Q-2', 'order': 55, 'powers': [774, 604, 20], 'representative': 25751199274159849, 'size': 2420}
  • id: 79829558
    {'aut_label': '55R1', 'centralizer': None, 'counter': 778, 'group_counter': 1, 'group_order': 2662000, 'label': '55R1', 'order': 55, 'powers': [780, 603, 21], 'representative': 2293539527367804, 'size': 2420}
  • id: 79829559
    {'aut_label': '55R1', 'centralizer': None, 'counter': 779, 'group_counter': 1, 'group_order': 2662000, 'label': '55R-1', 'order': 55, 'powers': [781, 603, 22], 'representative': 14879069760006199, 'size': 2420}
  • id: 79829561
    {'aut_label': '55R2', 'centralizer': None, 'counter': 780, 'group_counter': 1, 'group_order': 2662000, 'label': '55R2', 'order': 55, 'powers': [779, 603, 23], 'representative': 40054251503687587, 'size': 2420}
  • id: 79829562
    {'aut_label': '55R2', 'centralizer': None, 'counter': 781, 'group_counter': 1, 'group_order': 2662000, 'label': '55R-2', 'order': 55, 'powers': [778, 603, 24], 'representative': 41130181355950262, 'size': 2420}
  • id: 79829563
    {'aut_label': '55Q-1', 'centralizer': None, 'counter': 782, 'group_counter': 1, 'group_order': 2662000, 'label': '55S1', 'order': 55, 'powers': [784, 604, 29], 'representative': 24984280576175812, 'size': 2420}
  • id: 79829564
    {'aut_label': '55Q1', 'centralizer': None, 'counter': 783, 'group_counter': 1, 'group_order': 2662000, 'label': '55S-1', 'order': 55, 'powers': [785, 604, 30], 'representative': 18900332829366679, 'size': 2420}
  • id: 79829565
    {'aut_label': '55Q-2', 'centralizer': None, 'counter': 784, 'group_counter': 1, 'group_order': 2662000, 'label': '55S2', 'order': 55, 'powers': [783, 604, 31], 'representative': 41909159141903972, 'size': 2420}
  • id: 79829566
    {'aut_label': '55Q2', 'centralizer': None, 'counter': 785, 'group_counter': 1, 'group_order': 2662000, 'label': '55S-2', 'order': 55, 'powers': [782, 604, 32], 'representative': 33918157196706888, 'size': 2420}
  • id: 79829567
    {'aut_label': '55R1', 'centralizer': None, 'counter': 786, 'group_counter': 1, 'group_order': 2662000, 'label': '55T1', 'order': 55, 'powers': [788, 603, 34], 'representative': 37047814563704224, 'size': 2420}
  • id: 79829568
    {'aut_label': '55R1', 'centralizer': None, 'counter': 787, 'group_counter': 1, 'group_order': 2662000, 'label': '55T-1', 'order': 55, 'powers': [789, 603, 33], 'representative': 4876757148422330, 'size': 2420}
  • id: 79829569
    {'aut_label': '55R2', 'centralizer': None, 'counter': 788, 'group_counter': 1, 'group_order': 2662000, 'label': '55T2', 'order': 55, 'powers': [787, 603, 36], 'representative': 13744907666487412, 'size': 2420}
  • id: 79829570
    {'aut_label': '55R2', 'centralizer': None, 'counter': 789, 'group_counter': 1, 'group_order': 2662000, 'label': '55T-2', 'order': 55, 'powers': [786, 603, 35], 'representative': 42106568348957223, 'size': 2420}
  • id: 79829572
    {'aut_label': '55Q-2', 'centralizer': None, 'counter': 790, 'group_counter': 1, 'group_order': 2662000, 'label': '55U1', 'order': 55, 'powers': [792, 604, 39], 'representative': 38063656615815910, 'size': 2420}
  • id: 79829573
    {'aut_label': '55Q2', 'centralizer': None, 'counter': 791, 'group_counter': 1, 'group_order': 2662000, 'label': '55U-1', 'order': 55, 'powers': [793, 604, 40], 'representative': 10994805554876702, 'size': 2420}
  • id: 79829574
    {'aut_label': '55Q1', 'centralizer': None, 'counter': 792, 'group_counter': 1, 'group_order': 2662000, 'label': '55U2', 'order': 55, 'powers': [791, 604, 38], 'representative': 22100870181166272, 'size': 2420}
  • id: 79829575
    {'aut_label': '55Q-1', 'centralizer': None, 'counter': 793, 'group_counter': 1, 'group_order': 2662000, 'label': '55U-2', 'order': 55, 'powers': [790, 604, 37], 'representative': 6346418251542176, 'size': 2420}
  • id: 79829576
    {'aut_label': '55Q-1', 'centralizer': None, 'counter': 794, 'group_counter': 1, 'group_order': 2662000, 'label': '55V1', 'order': 55, 'powers': [796, 604, 25], 'representative': 31449295033068937, 'size': 2420}
  • id: 79829577
    {'aut_label': '55Q1', 'centralizer': None, 'counter': 795, 'group_counter': 1, 'group_order': 2662000, 'label': '55V-1', 'order': 55, 'powers': [797, 604, 26], 'representative': 43894546006325588, 'size': 2420}
  • id: 79829578
    {'aut_label': '55Q-2', 'centralizer': None, 'counter': 796, 'group_counter': 1, 'group_order': 2662000, 'label': '55V2', 'order': 55, 'powers': [795, 604, 27], 'representative': 32431888853064537, 'size': 2420}
  • id: 79829579
    {'aut_label': '55Q2', 'centralizer': None, 'counter': 797, 'group_counter': 1, 'group_order': 2662000, 'label': '55V-2', 'order': 55, 'powers': [794, 604, 28], 'representative': 14290332392209202, 'size': 2420}
  • id: 79829580
    {'aut_label': '55Q1', 'centralizer': None, 'counter': 798, 'group_counter': 1, 'group_order': 2662000, 'label': '55W1', 'order': 55, 'powers': [800, 604, 41], 'representative': 3128558283598355, 'size': 2420}
  • id: 79829581
    {'aut_label': '55Q-1', 'centralizer': None, 'counter': 799, 'group_counter': 1, 'group_order': 2662000, 'label': '55W-1', 'order': 55, 'powers': [801, 604, 42], 'representative': 20724099333987907, 'size': 2420}
  • id: 79829584
    {'aut_label': '55Q2', 'centralizer': None, 'counter': 800, 'group_counter': 1, 'group_order': 2662000, 'label': '55W2', 'order': 55, 'powers': [799, 604, 43], 'representative': 33376371059336623, 'size': 2420}
  • id: 79829585
    {'aut_label': '55Q-2', 'centralizer': None, 'counter': 801, 'group_counter': 1, 'group_order': 2662000, 'label': '55W-2', 'order': 55, 'powers': [798, 604, 44], 'representative': 34447737794541202, 'size': 2420}
  • id: 79829586
    {'aut_label': '110A1', 'centralizer': None, 'counter': 802, 'group_counter': 1, 'group_order': 2662000, 'label': '110A1', 'order': 110, 'powers': [715, 666, 85], 'representative': 39129663386444835, 'size': 10}
  • id: 79829587
    {'aut_label': '110A1', 'centralizer': None, 'counter': 803, 'group_counter': 1, 'group_order': 2662000, 'label': '110A-1', 'order': 110, 'powers': [714, 666, 86], 'representative': 33070508829764565, 'size': 10}
  • id: 79829588
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  • id: 79829589
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  • id: 79828740
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  • id: 79828754
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  • id: 79828755
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  • id: 79828758
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  • id: 79828759
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  • id: 79828760
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  • id: 79828762
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  • id: 79828767
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  • id: 79828768
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  • id: 79828776
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  • id: 79828780
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  • id: 79828784
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  • id: 79828789
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  • id: 79828791
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1054, 'group_counter': 1, 'group_order': 2662000, 'label': '220E9', 'order': 220, 'powers': [847, 705, 621], 'representative': 41854402719284067, 'size': 1100}
  • id: 79828792
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  • id: 79828793
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1056, 'group_counter': 1, 'group_order': 2662000, 'label': '220F1', 'order': 220, 'powers': [850, 707, 620], 'representative': 2098389708049448, 'size': 1100}
  • id: 79828794
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1057, 'group_counter': 1, 'group_order': 2662000, 'label': '220F-1', 'order': 220, 'powers': [851, 708, 621], 'representative': 29555176765570027, 'size': 1100}
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    {'aut_label': '220C1', 'centralizer': None, 'counter': 1058, 'group_counter': 1, 'group_order': 2662000, 'label': '220F3', 'order': 220, 'powers': [852, 708, 619], 'representative': 33586552765530171, 'size': 1100}
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  • id: 79828798
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1060, 'group_counter': 1, 'group_order': 2662000, 'label': '220F7', 'order': 220, 'powers': [853, 708, 618], 'representative': 3327693963670582, 'size': 1100}
  • id: 79828799
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1061, 'group_counter': 1, 'group_order': 2662000, 'label': '220F-7', 'order': 220, 'powers': [852, 707, 619], 'representative': 1665416196909432, 'size': 1100}
  • id: 79828800
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1062, 'group_counter': 1, 'group_order': 2662000, 'label': '220F9', 'order': 220, 'powers': [851, 707, 621], 'representative': 3760667260451717, 'size': 1100}
  • id: 79828801
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1063, 'group_counter': 1, 'group_order': 2662000, 'label': '220F-9', 'order': 220, 'powers': [850, 708, 620], 'representative': 41956300337224394, 'size': 1100}
  • id: 79828802
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1064, 'group_counter': 1, 'group_order': 2662000, 'label': '220G1', 'order': 220, 'powers': [854, 709, 621], 'representative': 17070082586851756, 'size': 1100}
  • id: 79828803
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1065, 'group_counter': 1, 'group_order': 2662000, 'label': '220G-1', 'order': 220, 'powers': [855, 710, 620], 'representative': 41898134166282383, 'size': 1100}
  • id: 79828804
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1066, 'group_counter': 1, 'group_order': 2662000, 'label': '220G3', 'order': 220, 'powers': [856, 710, 618], 'representative': 25208112681771943, 'size': 1100}
  • id: 79828805
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1067, 'group_counter': 1, 'group_order': 2662000, 'label': '220G-3', 'order': 220, 'powers': [857, 709, 619], 'representative': 12604211966399944, 'size': 1100}
  • id: 79828806
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1068, 'group_counter': 1, 'group_order': 2662000, 'label': '220G7', 'order': 220, 'powers': [857, 710, 619], 'representative': 33760104071376837, 'size': 1100}
  • id: 79828807
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1069, 'group_counter': 1, 'group_order': 2662000, 'label': '220G-7', 'order': 220, 'powers': [856, 709, 618], 'representative': 21156203356004838, 'size': 1100}
  • id: 79828809
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1070, 'group_counter': 1, 'group_order': 2662000, 'label': '220G9', 'order': 220, 'powers': [855, 709, 620], 'representative': 4466181871494398, 'size': 1100}
  • id: 79828810
    {'aut_label': '220C1', 'centralizer': None, 'counter': 1071, 'group_counter': 1, 'group_order': 2662000, 'label': '220G-9', 'order': 220, 'powers': [854, 710, 621], 'representative': 29294233450925025, 'size': 1100}
  • id: 79828811
    {'aut_label': '220H1', 'centralizer': None, 'counter': 1072, 'group_counter': 1, 'group_order': 2662000, 'label': '220H1', 'order': 220, 'powers': [814, 711, 622], 'representative': 42140619652588167, 'size': 12100}
  • id: 79828812
    {'aut_label': '220H1', 'centralizer': None, 'counter': 1073, 'group_counter': 1, 'group_order': 2662000, 'label': '220H-1', 'order': 220, 'powers': [815, 711, 623], 'representative': 43262825738461557, 'size': 12100}
  • id: 79828813
    {'aut_label': '220H1', 'centralizer': None, 'counter': 1074, 'group_counter': 1, 'group_order': 2662000, 'label': '220H3', 'order': 220, 'powers': [816, 711, 624], 'representative': 11099816607802376, 'size': 12100}
  • id: 79828814
    {'aut_label': '220H1', 'centralizer': None, 'counter': 1075, 'group_counter': 1, 'group_order': 2662000, 'label': '220H-3', 'order': 220, 'powers': [817, 711, 625], 'representative': 18393277298889778, 'size': 12100}
• group 2662000.a does not appear in gps_qchar
• group 2662000.a 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: 15653875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2662000, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 110, 'label': '2662000.a.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.A', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2662000.a', 'subgroup_hash': None, 'subgroup_order': 2662000, 'subgroup_tex': 'C_{22}:F_{11}^2.C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15653986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1331000, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.2._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1331000.b', 'subgroup_hash': None, 'subgroup_order': 1331000, 'subgroup_tex': 'C_{11}^3.C_{10}.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 15654097
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1331000, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.2._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1331000.j', 'subgroup_hash': None, 'subgroup_order': 1331000, 'subgroup_tex': 'C_{11}^2:C_{110}.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 15654208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1331000, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.2._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1331000.c', 'subgroup_hash': None, 'subgroup_order': 1331000, 'subgroup_tex': 'C_{11}^3.C_{10}.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 15654319
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1331000, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.2._.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1331000.e', 'subgroup_hash': None, 'subgroup_order': 1331000, 'subgroup_tex': 'C_{11}^3:(D_5\\times C_{10}^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15654430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1331000, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.2._.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1331000.d', 'subgroup_hash': None, 'subgroup_order': 1331000, 'subgroup_tex': 'C_{11}^3:C_5^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 15654541
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1331000, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.2._.F', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1331000.k', 'subgroup_hash': None, 'subgroup_order': 1331000, 'subgroup_tex': 'C_{11}^3:C_{10}^3', 'supersolvable': True, 'sylow': 0}
  • id: 15654652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1331000, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.2._.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1331000.f', 'subgroup_hash': None, 'subgroup_order': 1331000, 'subgroup_tex': 'C_{11}^3:C_5^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 15654763
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 665500, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.4._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '665500.m', 'subgroup_hash': None, 'subgroup_order': 665500, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653876
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 665500, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.4._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '665500.d', 'subgroup_hash': None, 'subgroup_order': 665500, 'subgroup_tex': 'C_{11}^3:(D_{10}\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15653887
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 665500, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.4._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '665500.n', 'subgroup_hash': None, 'subgroup_order': 665500, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653898
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 665500, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.4._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '665500.k', 'subgroup_hash': None, 'subgroup_order': 665500, 'subgroup_tex': 'C_{11}^3:C_5^2:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15653909
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 665500, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.4._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '665500.e', 'subgroup_hash': None, 'subgroup_order': 665500, 'subgroup_tex': 'C_{11}^3:(D_{10}\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15653920
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 665500, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.4._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '665500.i', 'subgroup_hash': None, 'subgroup_order': 665500, 'subgroup_tex': 'C_{11}^3:C_5^2:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15653931
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 665500, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.4._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '665500.a', 'subgroup_hash': None, 'subgroup_order': 665500, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653942
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 332750, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.4._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '665500.c', 'subgroup_hash': None, 'subgroup_order': 665500, 'subgroup_tex': 'C_{11}^3:(D_{10}\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15653953
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 332750, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.4._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '665500.c', 'subgroup_hash': None, 'subgroup_order': 665500, 'subgroup_tex': 'C_{11}^3:(D_{10}\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15653964
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 332750, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.4._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '665500.f', 'subgroup_hash': None, 'subgroup_order': 665500, 'subgroup_tex': 'C_{55}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653975
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 332750, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.4._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '665500.f', 'subgroup_hash': None, 'subgroup_order': 665500, 'subgroup_tex': 'C_{55}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 532400, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.5._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '532400.a', 'subgroup_hash': None, 'subgroup_order': 532400, 'subgroup_tex': 'C_{22}:F_{11}^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15653998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 532400, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.5._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '532400.a', 'subgroup_hash': None, 'subgroup_order': 532400, 'subgroup_tex': 'C_{22}:F_{11}^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 532400, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.5._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '532400.n', 'subgroup_hash': None, 'subgroup_order': 532400, 'subgroup_tex': 'C_{110}:F_{11}.D_{22}', 'supersolvable': False, 'sylow': 0}
  • id: 15654020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 532400, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.5._.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '532400.a', 'subgroup_hash': None, 'subgroup_order': 532400, 'subgroup_tex': 'C_{22}:F_{11}^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 532400, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.5._.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '532400.a', 'subgroup_hash': None, 'subgroup_order': 532400, 'subgroup_tex': 'C_{22}:F_{11}^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 532400, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.5._.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '532400.a', 'subgroup_hash': None, 'subgroup_order': 532400, 'subgroup_tex': 'C_{22}:F_{11}^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.5._.G', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '532400.e', 'subgroup_hash': None, 'subgroup_order': 532400, 'subgroup_tex': '(D_{22}\\times C_{11}^2):C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654064
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 332750, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '332750.j', 'subgroup_hash': None, 'subgroup_order': 332750, 'subgroup_tex': 'C_{10}\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654075
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 332750, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '332750.i', 'subgroup_hash': None, 'subgroup_order': 332750, 'subgroup_tex': 'C_{11}^2:(C_5^2\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654086
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 332750, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.8._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '332750.i', 'subgroup_hash': None, 'subgroup_order': 332750, 'subgroup_tex': 'C_{11}^2:(C_5^2\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654098
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 166375, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.8._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '332750.a', 'subgroup_hash': None, 'subgroup_order': 332750, 'subgroup_tex': 'C_{11}^2:(C_5^2\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654109
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 166375, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.8._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '332750.d', 'subgroup_hash': None, 'subgroup_order': 332750, 'subgroup_tex': 'C_{11}^2:(C_5^2\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654120
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 166375, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.8._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '332750.c', 'subgroup_hash': None, 'subgroup_order': 332750, 'subgroup_tex': 'C_{11}^3:(D_5\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15654131
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 166375, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.8._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '332750.b', 'subgroup_hash': None, 'subgroup_order': 332750, 'subgroup_tex': 'C_{11}^3:(D_5\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15654142
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.c', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(C_{10}\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654153
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.c', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(C_{10}\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654164
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 266200, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.m', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(C_{10}\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654175
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.c', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(C_{10}\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654186
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.c', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(C_{10}\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654197
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.c', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(C_{10}\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.e', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.e', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 266200, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.a', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3.C_5.C_{20}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.e', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.e', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.e', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654275
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.d', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(C_{10}:C_{20})', 'supersolvable': False, 'sylow': 0}
  • id: 15654286
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.d', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(C_{10}:C_{20})', 'supersolvable': False, 'sylow': 0}
  • id: 15654297
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 266200, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.x', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': '(C_{11}^2\\times C_{110}).D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654308
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.d', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(C_{10}:C_{20})', 'supersolvable': False, 'sylow': 0}
  • id: 15654320
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.d', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(C_{10}:C_{20})', 'supersolvable': False, 'sylow': 0}
  • id: 15654331
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.d', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(C_{10}:C_{20})', 'supersolvable': False, 'sylow': 0}
  • id: 15654342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.be', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.be', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 266200, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.b', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.be', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.be', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.be', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654408
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654419
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654431
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 266200, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.bn', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'D_{11}\\times C_{110}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654442
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654453
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654464
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654475
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 266200, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.z', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.bf', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.bf', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 266200, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.s', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.bf', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.bf', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.bf', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.bg', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.bg', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 266200, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.n', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.bg', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.bg', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 266200, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '266200.bg', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654619
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654630
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654641
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654653
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654664
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654675
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654686
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.y', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10}^2)', 'supersolvable': True, 'sylow': 0}
  • id: 15654697
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654708
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654719
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654730
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.h', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{22}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654741
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.bm', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654752
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.r', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(C_{10}\\times C_{20})', 'supersolvable': True, 'sylow': 0}
  • id: 15654764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.q', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': '(D_{11}\\times C_{110}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654775
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.z', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.u', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(D_4\\times C_5^2)', 'supersolvable': True, 'sylow': 0}
  • id: 15654797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.t', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': 'C_{11}^3:(D_4\\times C_5^2)', 'supersolvable': True, 'sylow': 0}
  • id: 15654808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.10._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '266200.q', 'subgroup_hash': None, 'subgroup_order': 266200, 'subgroup_tex': '(D_{11}\\times C_{110}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 24200, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.11.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242000.a', 'subgroup_hash': None, 'subgroup_order': 242000, 'subgroup_tex': 'C_{11}^2.C_{10}.C_{10}^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654830
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 166375, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 55, 'label': '2662000.a.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '166375.b', 'subgroup_hash': None, 'subgroup_order': 166375, 'subgroup_tex': 'C_{11}^3:C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 15654841
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654852
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654858
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 133100, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.by', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653877
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653878
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653879
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653880
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 133100, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bz', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653881
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bh', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653882
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bh', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653883
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 133100, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.g', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{110}\\times C_{11}^2:D_5', 'supersolvable': False, 'sylow': 0}
  • id: 15653884
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bh', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653885
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bh', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653886
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bh', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653888
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653889
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653890
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 133100, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.d', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653891
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653892
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653893
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653894
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 133100, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.cc', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653895
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.o', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^2:C_{55}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15653896
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.o', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^2:C_{55}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15653897
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 133100, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.c', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': '(C_{11}\\times C_{110}).D_{55}', 'supersolvable': False, 'sylow': 0}
  • id: 15653899
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.o', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^2:C_{55}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15653900
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.o', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^2:C_{55}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15653901
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.o', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^2:C_{55}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15653902
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bi', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653903
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bi', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653904
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 133100, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.b', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_5\\times C_{11}^2:D_{110}', 'supersolvable': False, 'sylow': 0}
  • id: 15653905
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bi', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653906
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bi', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653907
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bi', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653908
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.m', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^2:C_{55}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15653910
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.m', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^2:C_{55}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15653911
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 133100, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.f', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': '(C_{11}^2\\times C_{110}).D_5', 'supersolvable': False, 'sylow': 0}
  • id: 15653912
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.m', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^2:C_{55}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15653913
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.m', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^2:C_{55}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15653914
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.m', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^2:C_{55}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15653915
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653916
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653917
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 133100, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.q', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653918
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653919
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653921
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 133100, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653922
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 133100, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bp', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653923
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653924
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653925
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653926
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653927
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.ce', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653928
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653929
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653930
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653932
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bx', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653933
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653934
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653935
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653936
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653937
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653938
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.cb', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653939
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653940
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653941
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653943
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653944
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653945
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.cg', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653946
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653947
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.n', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653948
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653949
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653950
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653951
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bw', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653952
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653954
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653955
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653956
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653957
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.cd', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653958
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653959
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653960
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653961
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.i', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653962
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.l', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653963
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.l', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653965
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.l', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653966
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.l', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653967
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.w', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_5\\times C_{11}^3:D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15653968
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.w', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_5\\times C_{11}^3:D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15653969
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.l', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653970
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.l', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653971
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.l', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653972
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.l', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653973
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.l', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653974
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.l', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15653976
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653977
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653978
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653979
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653980
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bq', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653981
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bq', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653982
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653983
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653984
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653985
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653988
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653989
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653990
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.br', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653991
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653992
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653993
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653994
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653995
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.z', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653996
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653997
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15653999
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654000
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654001
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bj', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654002
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654003
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654004
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654005
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654006
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bj', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654007
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654008
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654010
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654011
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654012
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.z', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654013
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654014
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654015
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654016
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654017
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.br', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654018
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654019
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654021
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654022
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654023
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.z', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654024
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654025
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654026
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654027
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654028
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bj', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654029
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654030
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654032
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654033
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654034
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bj', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654035
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654036
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654037
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654038
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654039
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.z', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654040
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654041
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654043
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.p', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}:F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654044
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bf', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654045
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.y', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 15654046
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.cc', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654047
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.x', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 15654048
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.bp', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654049
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.br', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654050
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.20._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '133100.br', 'subgroup_hash': None, 'subgroup_order': 133100, 'subgroup_tex': 'C_{11}^3:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654051
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.22._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121000.b', 'subgroup_hash': None, 'subgroup_order': 121000, 'subgroup_tex': 'C_{11}^2:(D_5\\times C_{10}^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15654052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.22._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121000.c', 'subgroup_hash': None, 'subgroup_order': 121000, 'subgroup_tex': 'C_{110}:F_{11}:C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654054
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.22._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121000.e', 'subgroup_hash': None, 'subgroup_order': 121000, 'subgroup_tex': 'C_{55}:F_{11}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15654055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 24200, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.22._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121000.c', 'subgroup_hash': None, 'subgroup_order': 121000, 'subgroup_tex': 'C_{110}:F_{11}:C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654056
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.22._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121000.f', 'subgroup_hash': None, 'subgroup_order': 121000, 'subgroup_tex': 'C_{11}^2:C_{10}^3', 'supersolvable': True, 'sylow': 0}
  • id: 15654057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.22._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121000.a', 'subgroup_hash': None, 'subgroup_order': 121000, 'subgroup_tex': 'C_{22}^2:(D_5\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15654058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.22._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121000.a', 'subgroup_hash': None, 'subgroup_order': 121000, 'subgroup_tex': 'C_{22}^2:(D_5\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15654059
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.22._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 22, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121000.d', 'subgroup_hash': None, 'subgroup_order': 121000, 'subgroup_tex': 'C_{10}\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 106480, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.25._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '25.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '25.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 25, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '106480.v', 'subgroup_hash': None, 'subgroup_order': 106480, 'subgroup_tex': '(D_{22}\\times C_{11}^2).D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.25._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '106480.q', 'subgroup_hash': None, 'subgroup_order': 106480, 'subgroup_tex': 'C_{11}^3:(D_4\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.25._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '106480.q', 'subgroup_hash': None, 'subgroup_order': 106480, 'subgroup_tex': 'C_{11}^3:(D_4\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.25._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '106480.n', 'subgroup_hash': None, 'subgroup_order': 106480, 'subgroup_tex': 'C_5\\times D_{22}:D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.25._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '106480.q', 'subgroup_hash': None, 'subgroup_order': 106480, 'subgroup_tex': 'C_{11}^3:(D_4\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.25._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '106480.q', 'subgroup_hash': None, 'subgroup_order': 106480, 'subgroup_tex': 'C_{11}^3:(D_4\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.25._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 25, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '106480.q', 'subgroup_hash': None, 'subgroup_order': 106480, 'subgroup_tex': 'C_{11}^3:(D_4\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654068
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654069
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654070
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 66550, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.e', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654071
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654072
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654073
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654074
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 66550, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.be', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654076
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654077
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654078
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654079
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654080
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bi', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654081
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bi', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654082
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654083
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654084
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654085
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654087
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654088
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654089
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bj', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654090
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 66550, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bj', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654091
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654092
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654093
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654094
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654095
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bv', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654096
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654099
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654100
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654101
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bt', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654102
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654103
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654104
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654105
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654106
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654107
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654108
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654110
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654111
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.x', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654112
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654113
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654114
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654115
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bh', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654116
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654117
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654118
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654119
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654121
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654122
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654123
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654124
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654125
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.x', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654126
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654127
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654128
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654129
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bh', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654130
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.n', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654132
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.p', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654133
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.p', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654134
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.g', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^2:D_5\\times C_{55}', 'supersolvable': False, 'sylow': 0}
  • id: 15654135
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.p', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654136
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.p', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654137
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.p', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654138
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654139
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654140
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.c', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}\\times C_{55}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654141
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654143
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654144
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654145
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bk', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654146
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654147
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654148
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654149
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654150
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654151
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bd', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654152
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654154
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654155
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654156
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654157
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654158
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bw', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654159
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654160
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654161
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654162
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654163
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654165
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bw', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654166
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654167
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654168
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654169
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654170
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.m', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654171
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bd', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654172
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.l', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654173
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.l', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654174
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.b', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^2:D_{55}', 'supersolvable': False, 'sylow': 0}
  • id: 15654176
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.l', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654177
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.l', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654178
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.l', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654179
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654180
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654181
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bl', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654182
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654183
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654184
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654185
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bf', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654187
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654188
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654189
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654190
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654191
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bq', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654192
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654193
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654194
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654195
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654196
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.s', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}\\times C_{55}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654198
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654199
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654200
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654201
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654202
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.s', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}\\times C_{55}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654203
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654204
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654205
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654206
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654207
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bq', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654210
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654211
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654212
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.k', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_{11}^3:(C_5\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654213
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.q', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_2\\times C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654214
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bk', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654215
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.40._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '66550.bf', 'subgroup_hash': None, 'subgroup_order': 66550, 'subgroup_tex': 'C_5\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654216
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6050, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.f', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_5\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654217
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.c', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_{11}^2:(D_{10}\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15654218
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.f', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_5\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654219
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6050, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.g', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_{11}^2:C_5^2:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15654221
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6050, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.c', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_{11}^2:(D_{10}\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15654222
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.g', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_{11}^2:C_5^2:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15654223
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6050, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.a', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_{22}^2:C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 15654224
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.e', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_5\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654225
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 110, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.d', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_{110}:C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654226
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.d', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_{110}:C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654227
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3025, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.b', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_{11}^2:(D_{10}\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15654228
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3025, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.b', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_{11}^2:(D_{10}\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15654229
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3025, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.f', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_5\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654230
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.e', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_5\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654232
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.e', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_5\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654233
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3025, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.f', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_5\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654234
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.e', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_5\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654235
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 110, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.44._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 44, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60500.f', 'subgroup_hash': None, 'subgroup_order': 60500, 'subgroup_tex': 'C_5\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 53240, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.bn', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(D_{22}\\times C_{11}^2):D_5', 'supersolvable': False, 'sylow': 0}
  • id: 15654237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 53240, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.h', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times C_{22}).D_{110}', 'supersolvable': False, 'sylow': 0}
  • id: 15654238
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 53240, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.bg', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}^2\\times C_{22}).D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 53240, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.g', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}^2\\times C_{22}).D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654240
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 53240, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.bd', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'D_{11}\\times C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654241
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.be', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654243
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 53240, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.bm', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_2\\times C_{11}^3:D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654244
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.be', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654245
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 53240, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.bp', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{110}:D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654246
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.be', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654247
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.be', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654248
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 53240, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.be', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 53240, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '50.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 50, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.bf', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}^2\\times C_{22}).D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654250
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10648, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.x', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654251
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10648, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.x', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654252
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10648, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.i', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}:(D_{22}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654254
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10648, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.x', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654255
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10648, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.i', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}:(D_{22}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654256
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10648, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.i', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}:(D_{22}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654257
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10648, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.x', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654258
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10648, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.i', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}:(D_{22}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654259
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10648, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.x', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654260
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10648, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.i', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}:(D_{22}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654261
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10648, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.bd', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'D_{11}\\times C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654262
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10648, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.bd', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'D_{11}\\times C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.o', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.o', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.o', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654267
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.be', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654268
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.be', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654269
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.be', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654270
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.be', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.y', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 15654272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.y', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 15654273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.c', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{110}.D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.y', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 15654276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.y', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 15654277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.y', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}^3:(C_5\\times D_4)', 'supersolvable': True, 'sylow': 0}
  • id: 15654278
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.be', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654279
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.l', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{20})', 'supersolvable': True, 'sylow': 0}
  • id: 15654280
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.l', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{20})', 'supersolvable': True, 'sylow': 0}
  • id: 15654281
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.s', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{110}.D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654282
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.l', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{20})', 'supersolvable': True, 'sylow': 0}
  • id: 15654283
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.l', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{20})', 'supersolvable': True, 'sylow': 0}
  • id: 15654284
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.l', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{20})', 'supersolvable': True, 'sylow': 0}
  • id: 15654285
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.bp', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{110}:D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.o', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.o', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.bc', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.bc', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.e', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{110}.D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.bc', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.bc', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.bc', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.f', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{110}.D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.o', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.o', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.f', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': 'C_{110}.D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.o', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.o', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.50._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '53240.o', 'subgroup_hash': None, 'subgroup_order': 53240, 'subgroup_tex': '(C_{11}\\times D_{22}):F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4840, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.55._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48400.e', 'subgroup_hash': None, 'subgroup_order': 48400, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4840, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.55._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48400.e', 'subgroup_hash': None, 'subgroup_order': 48400, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 24200, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.55._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48400.f', 'subgroup_hash': None, 'subgroup_order': 48400, 'subgroup_tex': 'C_5\\times C_{22}^2:D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4840, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.55._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48400.e', 'subgroup_hash': None, 'subgroup_order': 48400, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4840, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.55._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48400.e', 'subgroup_hash': None, 'subgroup_order': 48400, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4840, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.55._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48400.e', 'subgroup_hash': None, 'subgroup_order': 48400, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.55._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48400.h', 'subgroup_hash': None, 'subgroup_order': 48400, 'subgroup_tex': 'C_{22}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.55._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48400.g', 'subgroup_hash': None, 'subgroup_order': 48400, 'subgroup_tex': 'C_5\\times D_{44}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.55._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48400.h', 'subgroup_hash': None, 'subgroup_order': 48400, 'subgroup_tex': 'C_{22}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654313
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '80.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654314
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '80.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654315
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 33275, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '80.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.b', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654316
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '80.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654317
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '80.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654318
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 33275, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '80.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654321
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 33275, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '80.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.44', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.m', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654322
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654323
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654324
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654325
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654326
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654327
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.h', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654328
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654329
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654330
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.l', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654332
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654333
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654334
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.80._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '33275.e', 'subgroup_hash': None, 'subgroup_order': 33275, 'subgroup_tex': 'C_{11}^3:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654335
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6050, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.88._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30250.a', 'subgroup_hash': None, 'subgroup_order': 30250, 'subgroup_tex': 'C_2\\times C_{11}^2:C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 15654336
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3025, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.88._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30250.d', 'subgroup_hash': None, 'subgroup_order': 30250, 'subgroup_tex': 'C_{55}:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654337
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3025, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.88._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30250.d', 'subgroup_hash': None, 'subgroup_order': 30250, 'subgroup_tex': 'C_{55}:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654338
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.88._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30250.c', 'subgroup_hash': None, 'subgroup_order': 30250, 'subgroup_tex': 'C_{55}:C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654339
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 110, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.88._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30250.a', 'subgroup_hash': None, 'subgroup_order': 30250, 'subgroup_tex': 'C_2\\times C_{11}^2:C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 15654340
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.88._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30250.d', 'subgroup_hash': None, 'subgroup_order': 30250, 'subgroup_tex': 'C_{55}:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654341
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3025, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.88._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30250.b', 'subgroup_hash': None, 'subgroup_order': 30250, 'subgroup_tex': 'C_{11}^2:(D_5\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15654343
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3025, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.88._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30250.d', 'subgroup_hash': None, 'subgroup_order': 30250, 'subgroup_tex': 'C_{55}:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654344
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.88._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30250.c', 'subgroup_hash': None, 'subgroup_order': 30250, 'subgroup_tex': 'C_{55}:C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654345
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.88._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30250.c', 'subgroup_hash': None, 'subgroup_order': 30250, 'subgroup_tex': 'C_{55}:C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654346
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3025, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.88._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30250.b', 'subgroup_hash': None, 'subgroup_order': 30250, 'subgroup_tex': 'C_{11}^2:(D_5\\times C_5^2)', 'supersolvable': False, 'sylow': 0}
  • id: 15654347
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3025, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.88._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30250.a', 'subgroup_hash': None, 'subgroup_order': 30250, 'subgroup_tex': 'C_2\\times C_{11}^2:C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 15654348
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.88._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30250.c', 'subgroup_hash': None, 'subgroup_order': 30250, 'subgroup_tex': 'C_{55}:C_5\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654349
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.88._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 88, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30250.d', 'subgroup_hash': None, 'subgroup_order': 30250, 'subgroup_tex': 'C_{55}:(C_5\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654350
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26620, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.s', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654351
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bs', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654352
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bs', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654354
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26620, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.cc', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654355
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bs', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654356
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bs', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654357
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bs', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654358
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26620, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.i', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654359
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26620, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.g', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}\\times C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654360
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bt', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654361
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bt', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654362
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26620, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.c', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:D_{11}\\times C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654363
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bt', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654365
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bt', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654366
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bt', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654367
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26620, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.n', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': '(C_{11}\\times C_{22}).D_{55}', 'supersolvable': False, 'sylow': 0}
  • id: 15654368
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26620, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.m', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^2:D_{110}', 'supersolvable': False, 'sylow': 0}
  • id: 15654369
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26620, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.h', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': '(C_{11}^2\\times C_{22}).D_5', 'supersolvable': False, 'sylow': 0}
  • id: 15654370
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26620, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.o', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654371
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.r', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654372
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.r', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654373
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26620, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.d', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{55}.C_{22}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654374
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.r', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654376
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.r', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654377
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26620, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '100.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '100.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.r', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654378
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654379
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.ba', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654380
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.q', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654381
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.g', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}\\times C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654382
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.g', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}\\times C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654383
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.u', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654384
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.ba', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654385
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.v', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654387
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.q', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654388
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.ba', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654389
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.v', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654390
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.u', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654391
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.v', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654392
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.ba', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654393
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.q', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654394
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.u', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654395
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.q', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654396
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.u', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654398
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.q', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654399
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bc', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}\\times C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654400
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.br', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654401
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.s', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654402
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.br', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654403
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bc', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}\\times C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654404
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.s', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654405
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.o', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654406
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.o', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654407
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.v', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654409
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bc', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}\\times C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654410
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.br', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654411
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.ba', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654412
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bc', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}\\times C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654413
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.br', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654414
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.u', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654415
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.br', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654416
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bc', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}\\times C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654417
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bv', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654418
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bv', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654420
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bb', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'D_{11}\\times C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654421
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bb', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'D_{11}\\times C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654422
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654423
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654424
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654425
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654426
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654427
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654428
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654429
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654432
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654433
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654434
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654435
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654436
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654437
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654438
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654439
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654440
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654441
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654443
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654444
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654445
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.ca', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{55}:D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654446
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bb', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'D_{11}\\times C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654447
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bb', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'D_{11}\\times C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654448
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bb', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'D_{11}\\times C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654449
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bb', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'D_{11}\\times C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654450
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.ca', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{55}:D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654451
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bb', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'D_{11}\\times C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654452
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bb', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'D_{11}\\times C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654454
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bb', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'D_{11}\\times C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654455
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bb', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'D_{11}\\times C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654456
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654457
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654458
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654459
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654460
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654461
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654462
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654463
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654465
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654466
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654467
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654468
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654469
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654470
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654471
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654472
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654473
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654474
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654476
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654477
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654478
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654479
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654480
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654481
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654482
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654483
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654484
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bm', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654485
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654487
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.p', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:(D_{11}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654488
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5324, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.v', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654489
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.e', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^2:C_{220}', 'supersolvable': True, 'sylow': 0}
  • id: 15654490
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bq', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 15654491
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bq', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 15654492
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bq', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 15654493
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.r', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654494
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.r', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654495
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.r', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654496
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.r', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654498
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bf', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 15654499
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bf', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 15654500
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.b', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^2:C_{220}', 'supersolvable': True, 'sylow': 0}
  • id: 15654501
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bf', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 15654502
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bf', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 15654503
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bf', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 15654504
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.d', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{55}.C_{22}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654505
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bt', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654506
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bt', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654507
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.c', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}:D_{11}\\times C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654509
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bt', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654510
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bt', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654511
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bt', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654512
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.r', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_2\\times C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654513
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bq', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 15654514
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bq', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 15654515
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654516
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654517
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654518
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654520
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654521
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.ca', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{55}:D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654522
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.ca', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{55}:D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654523
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654524
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654525
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654526
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654527
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.100._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26620.bp', 'subgroup_hash': None, 'subgroup_order': 26620, 'subgroup_tex': 'C_{11}^3:(C_2\\times C_{10})', 'supersolvable': True, 'sylow': 0}
  • id: 15654528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 24200, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '110.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '110.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 110, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.g', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': '(C_{11}\\times C_{110}).D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654529
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.m', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:(C_{10}\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654531
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.u', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{10}\\times C_{11}^2:D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654532
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.m', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:(C_{10}\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654533
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.m', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:(C_{10}\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654534
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.m', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:(C_{10}\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.l', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.l', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.g', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': '(C_{11}\\times C_{110}).D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.l', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.l', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.l', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654543
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.o', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}:F_{11}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15654544
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.o', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}:F_{11}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15654545
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.x', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': '(C_{11}\\times C_{110}).D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654546
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.o', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}:F_{11}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15654547
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.o', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}:F_{11}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15654548
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.o', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}:F_{11}:C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 15654549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4840, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.l', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4840, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.l', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654551
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.m', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:(C_{10}\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 15654552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4840, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.l', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4840, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.l', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 4840, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.l', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}^2:C_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 15654556
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654557
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654558
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.be', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{110}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654559
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654560
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654561
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654562
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bd', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{110}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.j', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.j', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.t', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times C_{22}^2:D_5', 'supersolvable': False, 'sylow': 0}
  • id: 15654567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.j', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.j', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.j', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.j', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.j', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 12100, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.t', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times C_{22}^2:D_5', 'supersolvable': False, 'sylow': 0}
  • id: 15654573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.j', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.j', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.j', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{22}^2:(C_5\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 15654577
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654578
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654579
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654580
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.y', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654581
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654582
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654583
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654584
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bb', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654585
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 484, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654587
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654588
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654589
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 484, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654590
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654591
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654592
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.q', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{110}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654593
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.i', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654594
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bf', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654595
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 484, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654596
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654598
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654599
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 484, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654600
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654601
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654602
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 484, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654603
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654604
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654605
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 484, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654606
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654607
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654609
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.ba', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{110}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654610
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.y', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654611
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.i', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654612
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 484, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654613
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654614
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654615
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 484, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654616
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654617
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654618
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 484, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654620
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654621
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654622
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 484, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.p', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{11}^2:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654623
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 44, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.n', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times F_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.r', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654625
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 110, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bd', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_2\\times C_{110}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 110, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.w', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{220}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654627
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1210, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bb', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654628
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1210, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.z', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}:(C_{20}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 110, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.s', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times C_{22}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654631
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 110, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.d', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{220}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654632
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 110, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bb', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654633
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bb', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654634
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bb', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654635
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 110, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.z', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}:(C_{20}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1210, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.s', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times C_{22}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bc', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.s', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times C_{22}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2420, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.r', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 110, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bc', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 110, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.r', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1210, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.s', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times C_{22}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.w', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{220}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.r', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654646
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.z', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}:(C_{20}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654647
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bb', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654648
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bb', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654649
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.z', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}:(C_{20}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654650
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.z', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}:(C_{20}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654651
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.z', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}:(C_{20}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654654
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bb', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654655
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.z', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_{11}:(C_{20}\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 15654656
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bb', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654657
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.110._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 110, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24200.bb', 'subgroup_hash': None, 'subgroup_order': 24200, 'subgroup_tex': 'C_5\\times D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 220, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.121.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '121.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 121, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22000.a', 'subgroup_hash': None, 'subgroup_order': 22000, 'subgroup_tex': 'D_{110}:C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10648, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 22, 'label': '2662000.a.125.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '125.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 125, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21296.g', 'subgroup_hash': None, 'subgroup_order': 21296, 'subgroup_tex': 'D_{22}:D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654660
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3025, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.176._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15125.a', 'subgroup_hash': None, 'subgroup_order': 15125, 'subgroup_tex': 'C_{11}^2:C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 15654661
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 55, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.176._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15125.a', 'subgroup_hash': None, 'subgroup_order': 15125, 'subgroup_tex': 'C_{11}^2:C_5^3', 'supersolvable': True, 'sylow': 0}
  • id: 15654662
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 13310, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.52', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.k', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654663
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.u', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654665
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.u', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654666
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 13310, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '200.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.d', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2\\times C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654667
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.u', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654668
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.u', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654669
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.u', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654670
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.t', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654671
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.t', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654672
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bq', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654673
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bq', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654674
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bq', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654676
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bq', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654677
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bv', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654678
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bv', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654679
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bq', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654680
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bq', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654681
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bq', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654682
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bq', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654683
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bq', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654684
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 13310, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '200.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '200.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bq', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654685
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bp', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654687
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.x', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654688
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.r', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654689
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bc', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654690
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.x', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654691
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.r', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654692
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.z', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654693
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.r', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654694
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.x', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654695
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bc', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654696
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.r', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654698
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.x', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654699
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.z', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654700
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.t', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654701
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.t', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654702
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bc', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654703
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.t', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654704
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.t', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654705
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.z', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654706
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.r', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654707
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.x', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654709
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bc', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654710
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.r', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654711
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.x', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654712
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.z', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654713
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.x', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654714
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.r', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654715
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bc', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654716
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.x', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654717
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.r', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654718
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.z', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654720
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.r', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654721
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.x', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654722
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.k', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654723
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.r', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654724
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.x', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654725
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.i', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:D_5', 'supersolvable': False, 'sylow': 0}
  • id: 15654726
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.f', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654727
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.br', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654728
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.y', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654729
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bb', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654731
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bb', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654732
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.y', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654733
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.br', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654734
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.y', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654735
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bb', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654736
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bb', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654737
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.y', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654738
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.b', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654739
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.f', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654740
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.f', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654742
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.f', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654743
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.f', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654744
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.br', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654745
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bb', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654746
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.y', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654747
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.y', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654748
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bb', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654749
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.br', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654750
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bb', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654751
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.y', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654753
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.y', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654754
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bb', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654755
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.br', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654756
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.y', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654757
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bb', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654758
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bb', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654759
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.y', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654760
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.m', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:D_{55}', 'supersolvable': False, 'sylow': 0}
  • id: 15654761
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bs', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654762
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.v', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654765
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.be', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654766
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bp', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654767
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bp', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654768
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.be', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654769
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.v', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654770
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bp', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654771
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.be', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654772
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.be', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654773
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bp', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654774
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.h', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654776
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bs', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654777
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bs', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654778
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bs', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654779
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bs', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654780
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.v', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654781
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.be', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654782
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bp', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654783
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bp', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654784
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.be', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654785
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.v', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654787
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.be', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654788
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bp', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654789
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bp', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654790
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.be', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654791
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.v', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654792
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.bp', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654793
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.be', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654794
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1331, 'counter': 927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.be', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654795
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.k', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654796
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.br', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654798
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.b', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654799
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.br', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654800
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.br', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654801
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.br', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654802
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.h', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^2:C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654803
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.v', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654804
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.v', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654805
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.v', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654806
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.v', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654807
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.v', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654809
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.200._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13310.br', 'subgroup_hash': None, 'subgroup_order': 13310, 'subgroup_tex': 'C_{11}^3:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654810
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12100, 'counter': 941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.220._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '220.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '220.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 220, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12100.f', 'subgroup_hash': None, 'subgroup_order': 12100, 'subgroup_tex': '(C_{11}\\times C_{110}).D_5', 'supersolvable': False, 'sylow': 0}
  • id: 15654811
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12100, 'counter': 942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.220._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '220.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '220.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 220, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12100.h', 'subgroup_hash': None, 'subgroup_order': 12100, 'subgroup_tex': 'C_{110}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654812
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12100, 'counter': 943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.220._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '220.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '220.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 220, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12100.g', 'subgroup_hash': None, 'subgroup_order': 12100, 'subgroup_tex': 'C_5\\times C_{11}^2:D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654813
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 10648, 'counter': 944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.250._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '250.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '250.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 250, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5\\times C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10648.m', 'subgroup_hash': None, 'subgroup_order': 10648, 'subgroup_tex': 'C_{22}:D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654814
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6655, 'counter': 945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '400.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '400.190', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.3', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^2\\times C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 15654815
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6655, 'counter': 946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '400.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '400.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.16', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^2:C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 15654816
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '400.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '400.190', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.17', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^3:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 15654817
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '400.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '400.190', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.17', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^3:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 15654818
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.400._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '400.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '400.190', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.17', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^3:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 15654820
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.400._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '400.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '400.190', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.17', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^3:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 15654821
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6655, 'counter': 951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.400._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '400.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '400.190', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6655.17', 'subgroup_hash': None, 'subgroup_order': 6655, 'subgroup_tex': 'C_{11}^3:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 15654822
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6050, 'counter': 952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.440._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '440.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '440.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 440, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6050.h', 'subgroup_hash': None, 'subgroup_order': 6050, 'subgroup_tex': 'C_5\\times C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654823
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5324, 'counter': 953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.500._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '500.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '500.53', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 500, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}\\times C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5324.d', 'subgroup_hash': None, 'subgroup_order': 5324, 'subgroup_tex': 'C_{11}^2:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 15654824
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5324, 'counter': 954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.500._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '500.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '500.53', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 500, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}\\times C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5324.a', 'subgroup_hash': None, 'subgroup_order': 5324, 'subgroup_tex': 'D_{22}\\times C_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654825
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5324, 'counter': 955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.500._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '500.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '500.53', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 500, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}\\times C_5^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5324.m', 'subgroup_hash': None, 'subgroup_order': 5324, 'subgroup_tex': 'C_{11}^2:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 15654826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4840, 'counter': 956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.550._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '550.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '550.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 550, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4840.t', 'subgroup_hash': None, 'subgroup_order': 4840, 'subgroup_tex': '(C_{11}\\times C_{22}).D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654827
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3025, 'counter': 957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.880._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '880.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '880.118', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 880, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3025.f', 'subgroup_hash': None, 'subgroup_order': 3025, 'subgroup_tex': 'C_{11}^2:C_5^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654828
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.1000._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1000.148', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2:C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2662.12', 'subgroup_hash': None, 'subgroup_order': 2662, 'subgroup_tex': 'C_{11}^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 15654829
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2662, 'counter': 959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.1000._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1000.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1000.148', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}^2:C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2662.12', 'subgroup_hash': None, 'subgroup_order': 2662, 'subgroup_tex': 'C_{11}^3:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 15654831
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2662, 'counter': 960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.1000._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1000.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1000.196', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5\\times C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2662.3', 'subgroup_hash': None, 'subgroup_order': 2662, 'subgroup_tex': 'C_{11}^2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 15654832
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2420, 'counter': 961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.1100._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1100.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1100.28', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.e', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{110}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654833
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2420, 'counter': 962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.1100._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1100.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1100.29', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.r', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654834
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2420, 'counter': 963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.1100._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1100.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1100.29', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.q', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': 'C_{11}^2:D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 15654835
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2420, 'counter': 964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.1100._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1100.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1100.29', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.p', 'subgroup_hash': None, 'subgroup_order': 2420, 'subgroup_tex': '(C_{11}\\times C_{22}).D_5', 'supersolvable': False, 'sylow': 0}
  • id: 15654836
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1331, 'counter': 965, 'cyclic': False, 'direct': None, 'hall': 11, 'label': '2662000.a.2000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2000.871', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}:C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1331.5', 'subgroup_hash': None, 'subgroup_order': 1331, 'subgroup_tex': 'C_{11}^3', 'supersolvable': True, 'sylow': 11}
  • id: 15654837
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1210, 'counter': 966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.2200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2200.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2200.y', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.27', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}\\times C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654838
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1210, 'counter': 967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.2200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2200.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2200.a', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{22}:C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.20', 'subgroup_hash': None, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654839
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 605, 'counter': 968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.4400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4400.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4400.j', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 4400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{44}:C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.6', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 15654840
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 605, 'counter': 969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.4400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4400.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4400.e', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 4400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:D_4\\times F_{11}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '605.7', 'subgroup_hash': None, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}\\times C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 15654842
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 484, 'counter': 970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.5500._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5500.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5500.b', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 5500, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{55}:C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '484.11', 'subgroup_hash': None, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 15654843
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 242, 'counter': 971, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.11000._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '11000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '11000.a', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 11000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{110}:C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.5', 'subgroup_hash': None, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 15654844
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 220, 'counter': 972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.12100._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12100.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12100.o', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12100, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^2:(C_5\\times D_{10})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '220.12', 'subgroup_hash': None, 'subgroup_order': 220, 'subgroup_tex': 'C_5\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 15654845
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 973, 'cyclic': False, 'direct': None, 'hall': 5, 'label': '2662000.a.21296.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '21296.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 21296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '125.5', 'subgroup_hash': None, 'subgroup_order': 125, 'subgroup_tex': 'C_5^3', 'supersolvable': True, 'sylow': 5}
  • id: 15654846
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 121, 'counter': 974, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.22000._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '22000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '22000.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 22000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{110}:C_{10}^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': None, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 15654847
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 110, 'counter': 975, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2662000.a.24200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24200.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24200.m', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^2:(C_{10}\\times D_{10})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '110.6', 'subgroup_hash': None, 'subgroup_order': 110, 'subgroup_tex': 'C_{110}', 'supersolvable': True, 'sylow': 0}
  • id: 15654848
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 55, 'counter': 976, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2662000.a.48400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48400.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48400.e', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{22}^2:(C_5\\times D_{10})', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.2', 'subgroup_hash': None, 'subgroup_order': 55, 'subgroup_tex': 'C_{55}', 'supersolvable': True, 'sylow': 0}
  • id: 15654849
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 44, 'counter': 977, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '2662000.a.60500._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '60500.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60500.b', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 60500, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^2:(D_{10}\\times C_5^2)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': None, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 15654850
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 22, 'counter': 978, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2662000.a.121000._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '121000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '121000.b', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 121000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^2:(D_5\\times C_{10}^2)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': None, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 15654851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 979, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '2662000.a.166375.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '166375.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 166375, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 2}
  • id: 15654853
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 11, 'counter': 980, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2662000.a.242000._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '242000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '242000.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 242000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^2.C_{10}.C_{10}^2.C_2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': None, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 15654854
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 10, 'counter': 981, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2662000.a.266200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '266200.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 266200, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^3.C_5^2.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 15654855
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5, 'counter': 982, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2662000.a.532400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '532400.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '532400.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 532400, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{22}:F_{11}^2.C_2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': None, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 15654856
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2, 'counter': 983, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '2662000.a.1331000._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '1331000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1331000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^3.C_5^3.C_2^3', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 15654857
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '2662000.a', 'ambient_counter': 1, 'ambient_order': 2662000, 'ambient_tex': 'C_{22}:F_{11}^2.C_{10}', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 984, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '2662000.a.2662000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2662000.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '2662000.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2662000, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{22}:F_{11}^2.C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': None, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 15654316
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.80._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653896
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 38746694982786839, 40902019691155073, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654317
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 19740740215598295, 23515194026109115, 7061686783493871], 'label': '2662000.a.80._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.E', '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': None}
  • id: 15654318
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 22210877986805490, 23515194026109115, 7061686783493871], 'label': '2662000.a.80._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.F', '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': None}
  • id: 15654104
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 22210877986805490, 7061686783493871], 'label': '2662000.a.40._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653897
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23515194026109115, 21664288013708259, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653875
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [37946996662981792, 22210877986805490, 45187299069376969, 44007098876118478, 23515194026109115, 7061686783493871, 8502064636773731, 4513194785817692, 39276106871501482, 38746694982786839], 'label': '2662000.a.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653876
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 41389683478636362, 22210877986805490, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.4._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653877
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 5326016708815246, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653878
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653879
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [22210877986805490, 45187299069376969, 23515194026109115, 7061686783493871, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.20._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653880
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653881
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653882
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 38746694982786839, 4619892841149686, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653883
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 23515194026109115, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653884
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 4619892841149686, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653885
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 41389683478636362, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653886
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 22210877986805490, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653887
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [189899409240240, 37946996662981792, 22210877986805490, 45187299069376969, 23515194026109115, 7061686783493871, 39276106871501482, 38746694982786839], 'label': '2662000.a.4._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653888
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 189640143151674, 38746694982786839, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653889
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 190936084189268, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653890
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 189899409240240, 23515194026109115, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653891
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 189378713810104, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653892
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 760693267150804, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653893
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [22210877986805490, 45187299069376969, 23515194026109115, 7061686783493871, 39276106871501482, 38746694982786839, 188860376343631], 'label': '2662000.a.20._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653894
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 189899409240240, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653895
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 19046273848494998, 38746694982786839, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653898
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [37946996662981792, 22210877986805490, 45187299069376969, 23515194026109115, 7061686783493871, 39276106871501482, 38746694982786839, 21664288013708259], 'label': '2662000.a.4._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653899
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 23515194026109115, 16428262257343898, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653900
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 20019358556107997, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653901
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [22210877986805490, 45187299069376969, 23515194026109115, 7061686783493871, 6980439469262955, 39276106871501482, 38746694982786839], 'label': '2662000.a.20._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653902
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653903
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 44007098876118478, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653904
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653905
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653906
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653907
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 22210877986805490, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653908
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 34106329850384588, 38746694982786839, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653909
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 22210877986805490, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.4._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653910
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 31454697263784889, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653911
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 43517797339864906, 38746694982786839, 23515194026109115, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653912
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28837587605443591, 39276106871501482, 5326016708815246, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653913
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32047720888719435, 39276106871501482, 38746694982786839, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653914
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 9600068597830601, 38746694982786839, 22210877986805490, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653915
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 21018145443355758, 38746694982786839, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653916
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 12748422808853562, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653917
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 37902845934493037, 38746694982786839, 23515194026109115, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653918
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 4513194785817692, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653919
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 13354283956667234, 38746694982786839, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653920
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [37946996662981792, 22210877986805490, 45187299069376969, 23515194026109115, 7061686783493871, 28837587605443591, 39276106871501482, 38746694982786839], 'label': '2662000.a.4._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653921
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [22210877986805490, 45187299069376969, 23515194026109115, 7061686783493871, 17073301796086910, 39276106871501482, 38746694982786839], 'label': '2662000.a.20._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653922
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4513194785817692, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653923
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 40862508539604542, 404635349714394, 38746694982786839, 37946996662981792, 7061686783493871], 'label': '2662000.a.20._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653924
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 37946996662981792, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653925
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653926
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653927
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40331262389473699, 38746694982786839, 19535706710079137, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653928
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40331262389473699, 38746694982786839, 19535706710079137, 36553228599262503, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653929
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 36553228599262503, 8789784542198233, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653930
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 36553228599262503, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653931
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4513194785817692, 22210877986805490, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.4._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653932
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 36553228599262503, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653933
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 36553228599262503, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653934
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653935
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 36553228599262503, 5252988988143824, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653936
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 38746694982786839, 42460466657357488, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653937
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 9017195773075024, 38746694982786839, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653938
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 36553228599262503, 189899409240240, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653939
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 6631467992752647, 38746694982786839, 5252988988143824, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653940
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 42460466657357488, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653941
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 6631467992752647, 38746694982786839, 12746303524643449, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653942
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 44007098876118478, 38746694982786839, 22210877986805490, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.4._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653943
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 12746303524643449, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653944
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [36553228599262503, 45187299069376969, 7061686783493871, 9017195773075024, 39276106871501482, 38746694982786839, 4095080974353445], 'label': '2662000.a.20._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653945
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [189899409240240, 45187299069376969, 7061686783493871, 39276106871501482, 38746694982786839, 28141036563241148, 4095080974353445], 'label': '2662000.a.20._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653946
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 5252988988143824, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653947
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [42460466657357488, 1873432254497795, 45187299069376969, 7061686783493871, 39276106871501482, 38746694982786839, 4095080974353445], 'label': '2662000.a.20._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653948
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653949
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 38746694982786839, 36553228599262503, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653950
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [37946996662981792, 45187299069376969, 9070626408748699, 7061686783493871, 39276106871501482, 38746694982786839, 28141036563241148], 'label': '2662000.a.20._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653951
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 404635349714394, 38746694982786839, 36553228599262503, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653952
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 6631467992752647, 38746694982786839, 4513194785817692, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653953
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 44007098876118478, 38746694982786839, 22210877986805490, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.4._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653954
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 6631467992752647, 38746694982786839, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653955
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 6631467992752647, 38746694982786839, 9070626408748699, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653956
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 29251233835796007, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653957
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [45187299069376969, 7061686783493871, 39276106871501482, 29251233835796007, 38746694982786839, 28141036563241148, 4095080974353445], 'label': '2662000.a.20._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653958
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2753090008902068, 45187299069376969, 7061686783493871, 404635349714394, 39276106871501482, 38746694982786839, 4095080974353445], 'label': '2662000.a.20._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653959
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 45187299069376969, 7061686783493871, 4513194785817692, 39276106871501482, 38746694982786839, 4095080974353445], 'label': '2662000.a.20._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653960
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [22210877986805490, 45187299069376969, 7061686783493871, 39276106871501482, 26082219804666843, 38746694982786839, 4095080974353445], 'label': '2662000.a.20._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653961
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 36553228599262503, 9070626408748699, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653962
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 19740740215598295, 23515194026109115, 7061686783493871], 'label': '2662000.a.20._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653963
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 19740740215598295, 23515194026109115, 7472849424250198, 7061686783493871], 'label': '2662000.a.20._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653964
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 4513194785817692, 22210877986805490, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.4._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653965
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 15359738141297108, 44007098876118478, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.20._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653966
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 44007098876118478, 38746694982786839, 23515194026109115, 7472849424250198, 7061686783493871], 'label': '2662000.a.20._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653967
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 23124222817174264, 7061686783493871], 'label': '2662000.a.20._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653968
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 23124222817174264, 7472849424250198, 7061686783493871], 'label': '2662000.a.20._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653969
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.20._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653970
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 23515194026109115, 7472849424250198, 7061686783493871], 'label': '2662000.a.20._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653971
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 44007098876118478, 38746694982786839, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.20._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653972
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 44007098876118478, 38746694982786839, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.20._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653973
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 22210877986805490, 23515194026109115, 7061686783493871], 'label': '2662000.a.20._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653974
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 22210877986805490, 23515194026109115, 7472849424250198, 7061686783493871], 'label': '2662000.a.20._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653975
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 38746694982786839, 4513194785817692, 22210877986805490, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.4._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653976
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 21018145443355758, 38746694982786839, 19740740215598295, 23515194026109115, 7061686783493871], 'label': '2662000.a.20._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653977
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 21018145443355758, 38746694982786839, 19740740215598295, 23515194026109115, 7472849424250198, 7061686783493871], 'label': '2662000.a.20._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653978
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 15359738141297108, 12748422808853562, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.20._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653979
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 12748422808853562, 38746694982786839, 23515194026109115, 7472849424250198, 7061686783493871], 'label': '2662000.a.20._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653980
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 37902845934493037, 38746694982786839, 23515194026109115, 23124222817174264, 7061686783493871], 'label': '2662000.a.20._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653981
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 37902845934493037, 38746694982786839, 23515194026109115, 23124222817174264, 7472849424250198, 7061686783493871], 'label': '2662000.a.20._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653982
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 5326016708815246, 38746694982786839, 4513194785817692, 23515194026109115, 7061686783493871], 'label': '2662000.a.20._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653983
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 4513194785817692, 23515194026109115, 7472849424250198, 7061686783493871], 'label': '2662000.a.20._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653984
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 13354283956667234, 8502064636773731, 38746694982786839, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.20._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653985
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 13354283956667234, 38746694982786839, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.20._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653986
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [189899409240240, 37946996662981792, 22210877986805490, 45187299069376969, 23515194026109115, 7061686783493871, 28837587605443591, 39276106871501482, 38746694982786839], 'label': '2662000.a.2._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653987
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21018145443355758, 45187299069376969, 44007098876118478, 7061686783493871, 23515194026109115, 39276106871501482, 41892009063798686, 38746694982786839, 19740740215598295], 'label': '2662000.a.5._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653988
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [22210877986805490, 23515194026109115, 7061686783493871, 17073301796086910, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.20._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653989
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [22210877986805490, 23515194026109115, 7061686783493871, 17073301796086910, 39276106871501482, 7472849424250198, 38746694982786839], 'label': '2662000.a.20._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653990
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 4513194785817692, 22210877986805490, 37946996662981792, 7061686783493871], 'label': '2662000.a.20._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653991
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 4513194785817692, 7061686783493871], 'label': '2662000.a.20._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653992
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 4513194785817692, 7061686783493871], 'label': '2662000.a.20._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653993
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40331262389473699, 38746694982786839, 4513194785817692, 19535706710079137, 36553228599262503, 7061686783493871], 'label': '2662000.a.20._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653994
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 4513194785817692, 8789784542198233, 2753090008902068, 7061686783493871], 'label': '2662000.a.20._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653995
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 1873432254497795, 39276106871501482, 42178440886707259, 38746694982786839, 8789784542198233, 7061686783493871], 'label': '2662000.a.20._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653996
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 8502064636773731, 38746694982786839, 36553228599262503, 37946996662981792, 7061686783493871], 'label': '2662000.a.20._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653997
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 2753090008902068, 7061686783493871], 'label': '2662000.a.20._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653998
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [15359738141297108, 12748422808853562, 45187299069376969, 44007098876118478, 7061686783493871, 23515194026109115, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.5._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15653999
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 22210877986805490, 7061686783493871], 'label': '2662000.a.20._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654000
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 28141036563241148, 39276106871501482, 40331262389473699, 38746694982786839, 19535706710079137, 7061686783493871], 'label': '2662000.a.20._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654001
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40331262389473699, 38746694982786839, 19535706710079137, 9070626408748699, 2753090008902068, 7061686783493871], 'label': '2662000.a.20._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654002
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 22210877986805490, 8789784542198233, 9070626408748699, 7061686783493871], 'label': '2662000.a.20._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654003
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 8502064636773731, 38746694982786839, 9070626408748699, 37946996662981792, 7061686783493871], 'label': '2662000.a.20._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654004
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 9070626408748699, 7061686783493871], 'label': '2662000.a.20._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654005
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 36553228599262503, 9070626408748699, 7061686783493871], 'label': '2662000.a.20._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654006
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 29251233835796007, 7061686783493871], 'label': '2662000.a.20._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654007
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 40331262389473699, 38746694982786839, 19535706710079137, 29251233835796007, 7061686783493871], 'label': '2662000.a.20._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654008
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 36553228599262503, 29251233835796007, 8789784542198233, 7061686783493871], 'label': '2662000.a.20._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654009
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [23124222817174264, 45187299069376969, 44007098876118478, 7061686783493871, 23515194026109115, 39276106871501482, 37902845934493037, 41892009063798686, 38746694982786839], 'label': '2662000.a.5._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654010
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 29251233835796007, 37946996662981792, 2753090008902068, 7061686783493871], 'label': '2662000.a.20._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654011
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 29251233835796007, 22210877986805490, 7061686783493871], 'label': '2662000.a.20._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654012
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 404635349714394, 38746694982786839, 44344603617938888, 36553228599262503, 7061686783493871], 'label': '2662000.a.20._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654013
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 404635349714394, 4095080974353445, 38746694982786839, 2753090008902068, 7061686783493871], 'label': '2662000.a.20._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654014
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40331262389473699, 404635349714394, 38746694982786839, 19535706710079137, 22210877986805490, 7061686783493871], 'label': '2662000.a.20._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654015
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 42178440886707259, 404635349714394, 38746694982786839, 8789784542198233, 7061686783493871], 'label': '2662000.a.20._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654016
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 8502064636773731, 404635349714394, 38746694982786839, 37946996662981792, 7061686783493871], 'label': '2662000.a.20._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654017
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 38746694982786839, 4513194785817692, 22210877986805490, 37946996662981792, 7061686783493871], 'label': '2662000.a.20._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654018
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 6631467992752647, 38746694982786839, 4513194785817692, 16937396076867607, 7061686783493871], 'label': '2662000.a.20._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654019
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 4095080974353445, 38746694982786839, 4513194785817692, 33738530916834052, 7061686783493871], 'label': '2662000.a.20._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654020
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 4513194785817692, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.5._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654021
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [19095825425664454, 39276106871501482, 38746694982786839, 4513194785817692, 19535706710079137, 36553228599262503, 7061686783493871], 'label': '2662000.a.20._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654022
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 27486648395579745, 38746694982786839, 4513194785817692, 2753090008902068, 7061686783493871], 'label': '2662000.a.20._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654023
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 1873432254497795, 39276106871501482, 42178440886707259, 27486648395579745, 38746694982786839, 7061686783493871], 'label': '2662000.a.20._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654024
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 40862508539604542, 38746694982786839, 36553228599262503, 37946996662981792, 7061686783493871], 'label': '2662000.a.20._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654025
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 6631467992752647, 38746694982786839, 16937396076867607, 2753090008902068, 7061686783493871], 'label': '2662000.a.20._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654026
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 4095080974353445, 38746694982786839, 33738530916834052, 22210877986805490, 7061686783493871], 'label': '2662000.a.20._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654027
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7061686783493871, 19535706710079137, 39276106871501482, 19095825425664454, 26082219804666843, 38746694982786839, 28141036563241148], 'label': '2662000.a.20._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654028
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [19095825425664454, 39276106871501482, 38746694982786839, 19535706710079137, 9070626408748699, 2753090008902068, 7061686783493871], 'label': '2662000.a.20._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654029
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 27486648395579745, 38746694982786839, 22210877986805490, 9070626408748699, 7061686783493871], 'label': '2662000.a.20._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654030
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 40862508539604542, 38746694982786839, 9070626408748699, 37946996662981792, 7061686783493871], 'label': '2662000.a.20._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654031
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 13354283956667234, 8502064636773731, 44007098876118478, 38746694982786839, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.5._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654032
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 6631467992752647, 38746694982786839, 16937396076867607, 9070626408748699, 7061686783493871], 'label': '2662000.a.20._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654033
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 33738530916834052, 36553228599262503, 9070626408748699, 7061686783493871], 'label': '2662000.a.20._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654034
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 4095080974353445, 38746694982786839, 33738530916834052, 29251233835796007, 7061686783493871], 'label': '2662000.a.20._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654035
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [19095825425664454, 1873432254497795, 39276106871501482, 38746694982786839, 19535706710079137, 29251233835796007, 7061686783493871], 'label': '2662000.a.20._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654036
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 27486648395579745, 38746694982786839, 36553228599262503, 29251233835796007, 7061686783493871], 'label': '2662000.a.20._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654037
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 38746694982786839, 29251233835796007, 37946996662981792, 2753090008902068, 7061686783493871], 'label': '2662000.a.20._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654038
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 29251233835796007, 22210877986805490, 16937396076867607, 7061686783493871], 'label': '2662000.a.20._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654039
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 404635349714394, 38746694982786839, 36553228599262503, 16937396076867607, 7061686783493871], 'label': '2662000.a.20._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654040
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 404635349714394, 4095080974353445, 38746694982786839, 33738530916834052, 2753090008902068, 7061686783493871], 'label': '2662000.a.20._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654041
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [19095825425664454, 39276106871501482, 404635349714394, 38746694982786839, 19535706710079137, 22210877986805490, 7061686783493871], 'label': '2662000.a.20._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654042
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [22210877986805490, 45187299069376969, 44007098876118478, 23515194026109115, 7061686783493871, 17073301796086910, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.5._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654043
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 42178440886707259, 27486648395579745, 404635349714394, 38746694982786839, 7061686783493871], 'label': '2662000.a.20._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654044
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 8789784542198233, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654045
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 22210877986805490, 21664288013708259, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654046
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654047
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [28837587605443591, 39276106871501482, 38746694982786839, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654048
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 41389683478636362, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654049
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 44007098876118478, 38746694982786839, 22210877986805490, 37946996662981792, 7061686783493871], 'label': '2662000.a.20._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654050
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 44007098876118478, 38746694982786839, 22210877986805490, 37946996662981792, 7061686783493871], 'label': '2662000.a.20._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654051
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 8502064636773731, 38746694982786839, 43476694177229545, 37946996662981792, 21312051179845138, 41772741070013040], 'label': '2662000.a.22._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654052
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 2013440544611265, 44007098876118478, 38746694982786839, 23387583705773236, 39274354889468590, 21312051179845138, 41772741070013040], 'label': '2662000.a.22._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654053
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 44007098876118478, 38746694982786839, 4513194785817692, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.5._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654054
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 8502064636773731, 38746694982786839, 25457430129575834, 37946996662981792, 21312051179845138, 41772741070013040], 'label': '2662000.a.22._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654055
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [28837587605443591, 39276106871501482, 2013440544611265, 38746694982786839, 22857438400617484, 40451345898848215, 21312051179845138, 41772741070013040], 'label': '2662000.a.22._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654056
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 8502064636773731, 6336738279136408, 38746694982786839, 37946996662981792, 21312051179845138, 41772741070013040], 'label': '2662000.a.22._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654057
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 41628336927715011, 22741308623119024, 38746694982786839, 41389683478636362, 5159586483421559, 21312051179845138, 41772741070013040], 'label': '2662000.a.22._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654058
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 6487177921932227, 44007098876118478, 38746694982786839, 23387583705773236, 39274354889468590, 21312051179845138, 41772741070013040], 'label': '2662000.a.22._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654059
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [36388112527725795, 8503477047450022, 8502064636773731, 30978369192253595, 2660324589166912, 37946996662981792, 7805543433718386, 9151110375932767], 'label': '2662000.a.22._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654060
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 5084276205189114, 45187299069376969, 7061686783493871], 'label': '2662000.a.25._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654061
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [22210877986805490, 45187299069376969, 44007098876118478, 7061686783493871, 17073301796086910, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.25._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654062
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 4513194785817692, 45187299069376969, 7061686783493871], 'label': '2662000.a.25._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654063
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [23124222817174264, 45187299069376969, 44007098876118478, 7061686783493871, 39276106871501482, 37902845934493037, 41892009063798686, 38746694982786839], 'label': '2662000.a.25._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654064
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 22210877986805490, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.8._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654065
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [15359738141297108, 12748422808853562, 45187299069376969, 44007098876118478, 7061686783493871, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.25._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654066
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [21018145443355758, 45187299069376969, 44007098876118478, 7061686783493871, 39276106871501482, 41892009063798686, 38746694982786839, 19740740215598295], 'label': '2662000.a.25._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654067
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 13354283956667234, 8502064636773731, 44007098876118478, 38746694982786839, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.25._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654068
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654069
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654070
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23515194026109115, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654071
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654072
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654073
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 22210877986805490, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654074
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654075
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 22210877986805490, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.8._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654076
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654077
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 38746694982786839, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654078
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 5326016708815246, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654079
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 23515194026109115, 7472849424250198, 7061686783493871], 'label': '2662000.a.40._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654080
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 23515194026109115, 23124222817174264, 7061686783493871], 'label': '2662000.a.40._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654081
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23515194026109115, 23124222817174264, 7472849424250198, 7061686783493871], 'label': '2662000.a.40._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654082
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 15359738141297108, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654083
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 38746694982786839, 23515194026109115, 7472849424250198, 7061686783493871], 'label': '2662000.a.40._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654084
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 19740740215598295, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654085
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 19740740215598295, 23515194026109115, 7472849424250198, 7061686783493871], 'label': '2662000.a.40._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654086
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 38746694982786839, 22210877986805490, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.8._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654087
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 22210877986805490, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654088
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 22210877986805490, 23515194026109115, 7472849424250198, 7061686783493871], 'label': '2662000.a.40._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654089
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 22210877986805490, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654090
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 38746694982786839, 22210877986805490, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654091
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 4513194785817692, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654092
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 37946996662981792, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654093
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654094
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654095
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 19535706710079137, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654096
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 19535706710079137, 36553228599262503, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654097
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [37946996662981792, 22210877986805490, 45187299069376969, 23515194026109115, 7061686783493871, 28837587605443591, 8502064636773731, 39276106871501482, 38746694982786839], 'label': '2662000.a.2._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654098
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4513194785817692, 22210877986805490, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.8._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654099
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 36553228599262503, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654100
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 36553228599262503, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654101
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 36553228599262503, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654102
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 36553228599262503, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654103
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654105
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 22210877986805490, 7061686783493871], 'label': '2662000.a.40._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654106
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 8789784542198233, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654107
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 37946996662981792, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654108
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654109
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 189899409240240, 22210877986805490, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.8._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654110
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654111
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40331262389473699, 38746694982786839, 19535706710079137, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654112
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40331262389473699, 38746694982786839, 19535706710079137, 36553228599262503, 7061686783493871], 'label': '2662000.a.40._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654113
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 36553228599262503, 8789784542198233, 7061686783493871], 'label': '2662000.a.40._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654114
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 36553228599262503, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654115
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 36553228599262503, 7061686783493871], 'label': '2662000.a.40._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654116
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 36553228599262503, 7061686783493871], 'label': '2662000.a.40._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654117
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654118
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 22210877986805490, 16937396076867607, 7061686783493871], 'label': '2662000.a.40._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654119
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 33738530916834052, 22210877986805490, 7061686783493871], 'label': '2662000.a.40._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654120
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 22210877986805490, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.8._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654121
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 27486648395579745, 38746694982786839, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654122
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 38746694982786839, 37946996662981792, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654123
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 16937396076867607, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654124
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 33738530916834052, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654125
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [19095825425664454, 39276106871501482, 38746694982786839, 19535706710079137, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654126
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [19095825425664454, 39276106871501482, 38746694982786839, 19535706710079137, 36553228599262503, 7061686783493871], 'label': '2662000.a.40._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654127
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 27486648395579745, 38746694982786839, 36553228599262503, 7061686783493871], 'label': '2662000.a.40._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654128
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 38746694982786839, 36553228599262503, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654129
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 36553228599262503, 16937396076867607, 7061686783493871], 'label': '2662000.a.40._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654130
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 33738530916834052, 36553228599262503, 7061686783493871], 'label': '2662000.a.40._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654131
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 41389683478636362, 22210877986805490, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.8._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654132
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 41389683478636362, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654133
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 4619892841149686, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654134
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 23515194026109115, 23124222817174264, 7061686783493871], 'label': '2662000.a.40._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654135
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 38746694982786839, 4619892841149686, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654136
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 19740740215598295, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654137
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 22210877986805490, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654138
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 760693267150804, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654139
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 189378713810104, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654140
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 189899409240240, 23515194026109115, 23124222817174264, 7061686783493871], 'label': '2662000.a.40._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654141
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 190936084189268, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654142
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654143
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 189640143151674, 38746694982786839, 19740740215598295, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654144
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 22210877986805490, 23515194026109115, 188860376343631, 7061686783493871], 'label': '2662000.a.40._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654145
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 189899409240240, 22210877986805490, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654146
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 36553228599262503, 5252988988143824, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654147
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 38746694982786839, 42460466657357488, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654148
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 12746303524643449, 37946996662981792, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654149
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 9017195773075024, 38746694982786839, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654150
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 9017195773075024, 38746694982786839, 22210877986805490, 7061686783493871], 'label': '2662000.a.40._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654151
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 36553228599262503, 189899409240240, 7061686783493871], 'label': '2662000.a.40._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654152
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 6631467992752647, 38746694982786839, 5252988988143824, 7061686783493871], 'label': '2662000.a.40._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654153
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 15359738141297108, 44007098876118478, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.B', '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': None}
  • id: 15654154
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 42460466657357488, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654155
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 6631467992752647, 38746694982786839, 12746303524643449, 7061686783493871], 'label': '2662000.a.40._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654156
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 12746303524643449, 22210877986805490, 7061686783493871], 'label': '2662000.a.40._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654157
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 9017195773075024, 4095080974353445, 38746694982786839, 36553228599262503, 7061686783493871], 'label': '2662000.a.40._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654158
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 4095080974353445, 38746694982786839, 189899409240240, 7061686783493871], 'label': '2662000.a.40._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654159
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 5252988988143824, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654160
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 4095080974353445, 38746694982786839, 42460466657357488, 7061686783493871], 'label': '2662000.a.40._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654161
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 42460466657357488, 19535706710079137, 22210877986805490, 7061686783493871], 'label': '2662000.a.40._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654162
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 12746303524643449, 19535706710079137, 36553228599262503, 7061686783493871], 'label': '2662000.a.40._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654163
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 9017195773075024, 38746694982786839, 19535706710079137, 7061686783493871], 'label': '2662000.a.40._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654164
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.C', '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': None}
  • id: 15654165
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 19535706710079137, 189899409240240, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654166
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 38746694982786839, 19535706710079137, 5252988988143824, 7061686783493871], 'label': '2662000.a.40._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654167
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 5252988988143824, 22210877986805490, 7061686783493871], 'label': '2662000.a.40._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654168
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 42460466657357488, 36553228599262503, 7061686783493871], 'label': '2662000.a.40._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654169
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 42178440886707259, 38746694982786839, 12746303524643449, 7061686783493871], 'label': '2662000.a.40._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654170
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 9017195773075024, 38746694982786839, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654171
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 42178440886707259, 38746694982786839, 189899409240240, 7061686783493871], 'label': '2662000.a.40._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654172
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654173
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654174
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 23124222817174264, 7061686783493871], 'label': '2662000.a.40._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654175
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.D', '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': None}
  • id: 15654176
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 44007098876118478, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654177
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 19740740215598295, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654178
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 22210877986805490, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654179
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 13354283956667234, 38746694982786839, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654180
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 4513194785817692, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654181
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 37902845934493037, 38746694982786839, 23515194026109115, 23124222817174264, 7061686783493871], 'label': '2662000.a.40._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654182
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 12748422808853562, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654183
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 21018145443355758, 38746694982786839, 19740740215598295, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654184
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 17073301796086910, 22210877986805490, 23515194026109115, 7061686783493871], 'label': '2662000.a.40._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654185
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4513194785817692, 22210877986805490, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654186
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 44007098876118478, 38746694982786839, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.E', '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': None}
  • id: 15654187
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 38746694982786839, 36553228599262503, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654188
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 38746694982786839, 9070626408748699, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654189
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 29251233835796007, 37946996662981792, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654190
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 404635349714394, 38746694982786839, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654191
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 404635349714394, 38746694982786839, 36553228599262503, 7061686783493871], 'label': '2662000.a.40._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654192
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 6631467992752647, 38746694982786839, 4513194785817692, 7061686783493871], 'label': '2662000.a.40._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654193
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 6631467992752647, 38746694982786839, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654194
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 6631467992752647, 38746694982786839, 9070626408748699, 7061686783493871], 'label': '2662000.a.40._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654195
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 29251233835796007, 22210877986805490, 7061686783493871], 'label': '2662000.a.40._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654196
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 4095080974353445, 38746694982786839, 29251233835796007, 7061686783493871], 'label': '2662000.a.40._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654197
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [22210877986805490, 45187299069376969, 44007098876118478, 7061686783493871, 23515194026109115, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.10._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.F', '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': None}
  • id: 15654198
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 404635349714394, 4095080974353445, 38746694982786839, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654199
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 4095080974353445, 38746694982786839, 4513194785817692, 7061686783493871], 'label': '2662000.a.40._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654200
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 4095080974353445, 38746694982786839, 22210877986805490, 7061686783493871], 'label': '2662000.a.40._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654201
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 36553228599262503, 9070626408748699, 7061686783493871], 'label': '2662000.a.40._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654202
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 19535706710079137, 9070626408748699, 2753090008902068, 7061686783493871], 'label': '2662000.a.40._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654203
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 38746694982786839, 19535706710079137, 29251233835796007, 7061686783493871], 'label': '2662000.a.40._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654204
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 404635349714394, 38746694982786839, 19535706710079137, 22210877986805490, 7061686783493871], 'label': '2662000.a.40._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654205
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4513194785817692, 19535706710079137, 36553228599262503, 7061686783493871], 'label': '2662000.a.40._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654206
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 28141036563241148, 39276106871501482, 38746694982786839, 19535706710079137, 7061686783493871], 'label': '2662000.a.40._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654207
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 1873432254497795, 39276106871501482, 42178440886707259, 38746694982786839, 7061686783493871], 'label': '2662000.a.40._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654208
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [189899409240240, 37946996662981792, 22210877986805490, 45187299069376969, 44007098876118478, 23515194026109115, 7061686783493871, 39276106871501482, 38746694982786839], 'label': '2662000.a.2._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654209
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 189640143151674, 38746694982786839, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654210
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 22210877986805490, 9070626408748699, 7061686783493871], 'label': '2662000.a.40._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654211
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 36553228599262503, 29251233835796007, 7061686783493871], 'label': '2662000.a.40._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654212
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 42178440886707259, 404635349714394, 38746694982786839, 7061686783493871], 'label': '2662000.a.40._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654213
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.40._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654214
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 22210877986805490, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654215
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 41389683478636362, 22210877986805490, 37946996662981792, 7061686783493871], 'label': '2662000.a.40._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654216
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 8502064636773731, 38746694982786839, 37946996662981792, 21312051179845138, 41772741070013040], 'label': '2662000.a.44._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654217
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 41628336927715011, 22741308623119024, 38746694982786839, 41389683478636362, 21312051179845138, 41772741070013040], 'label': '2662000.a.44._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654218
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 2013440544611265, 38746694982786839, 37946996662981792, 21312051179845138, 41772741070013040], 'label': '2662000.a.44._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654219
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 21564317594252228, 38746694982786839, 40947253823017818, 21664288013708259, 21312051179845138, 41772741070013040], 'label': '2662000.a.44._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654220
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 44007098876118478, 190936084189268, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.H', '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': None}
  • id: 15654221
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23387583705773236, 39274354889468590, 21312051179845138, 41772741070013040], 'label': '2662000.a.44._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654222
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [28837587605443591, 39276106871501482, 38746694982786839, 22857438400617484, 40451345898848215, 21312051179845138, 41772741070013040], 'label': '2662000.a.44._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654223
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 38627794477428157, 38746694982786839, 4513194785817692, 22210877986805490, 21312051179845138, 41772741070013040], 'label': '2662000.a.44._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654224
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 40862508539604542, 35933799578106078, 35482739772432672, 44248165220814401, 22210877986805490, 33871227887806680], 'label': '2662000.a.44._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654225
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39743033021760948, 36388112527725795, 8503477047450022, 15827451944333817, 189899409240240, 13573171202600660, 9151110375932767], 'label': '2662000.a.44._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654226
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [28512072462414478, 36388112527725795, 8503477047450022, 7063073444212685, 2834532032666064, 4513194785817692, 9151110375932767], 'label': '2662000.a.44._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654227
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 8502064636773731, 38746694982786839, 43476694177229545, 37946996662981792, 21312051179845138], 'label': '2662000.a.44._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654228
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 38627794477428157, 45830676234963137, 38746694982786839, 22210877986805490, 21312051179845138], 'label': '2662000.a.44._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654229
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 8502064636773731, 6336738279136408, 38746694982786839, 37946996662981792, 21312051179845138], 'label': '2662000.a.44._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654230
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [8503477047450022, 8502064636773731, 30978369192253595, 2660324589166912, 37946996662981792, 7805543433718386, 9151110375932767], 'label': '2662000.a.44._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654231
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 189899409240240, 23515194026109115, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.I', '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': None}
  • id: 15654232
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 39743033021760948, 8502064636773731, 17224000453608018, 35482739772432672, 37946996662981792, 33077467014117700], 'label': '2662000.a.44._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654233
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 38627794477428157, 38746694982786839, 4513194785817692, 22210877986805490, 21312051179845138], 'label': '2662000.a.44._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654234
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [40862508539604542, 8503477047450022, 10132181390870974, 43813250495185903, 22210877986805490, 17951657623162533, 9151110375932767], 'label': '2662000.a.44._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654235
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [36388112527725795, 8503477047450022, 8502064636773731, 30978369192253595, 37946996662981792, 7805543433718386, 9151110375932767], 'label': '2662000.a.44._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654236
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 5084276205189114, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654237
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 760434195758256, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654238
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 25253363059190925, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654239
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 25253363059190925, 38746694982786839, 23515194026109115, 760434195758256, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654240
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 23515194026109115, 5084276205189114, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654241
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 13354283956667234, 8502064636773731, 38746694982786839, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654242
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 189378713810104, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.J', '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': None}
  • id: 15654243
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654244
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 5326016708815246, 38746694982786839, 4513194785817692, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654245
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 37902845934493037, 38746694982786839, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654246
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [15359738141297108, 12748422808853562, 45187299069376969, 7061686783493871, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.50._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654247
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 21018145443355758, 38746694982786839, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654248
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [22210877986805490, 45187299069376969, 7061686783493871, 17073301796086910, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.50._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654249
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 23515194026109115, 5084276205189114, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654250
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 2452136320867225, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654251
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [32605256545375642, 45187299069376969, 7061686783493871, 39276106871501482, 41892009063798686, 26082219804666843, 38746694982786839], 'label': '2662000.a.50._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654252
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 36341938644280423, 21757804984947157, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654253
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 760693267150804, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.K', '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': None}
  • id: 15654254
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [45187299069376969, 7061686783493871, 40654399258581902, 39276106871501482, 33811600838334172, 41892009063798686, 38746694982786839], 'label': '2662000.a.50._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654255
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [45187299069376969, 9070626408748699, 7061686783493871, 39276106871501482, 41892009063798686, 38746694982786839, 15579937106753412], 'label': '2662000.a.50._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654256
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 33030535524339976, 38746694982786839, 17847662927244805, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654257
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 12982595257418006, 38746694982786839, 10241383227142507, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654258
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 31676590173543312, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654259
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [36553228599262503, 42586141797845514, 45187299069376969, 7061686783493871, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.50._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654260
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [45187299069376969, 7061686783493871, 39276106871501482, 420664008999903, 41892009063798686, 38746694982786839, 28141036563241148], 'label': '2662000.a.50._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654261
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 15601774054670121, 9198547977890411, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654262
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [45187299069376969, 7061686783493871, 39276106871501482, 17306007350202909, 41892009063798686, 38746694982786839, 31728594655638944], 'label': '2662000.a.50._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654263
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 190936084189268, 31454697263784889, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654264
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [22210877986805490, 45187299069376969, 44007098876118478, 23515194026109115, 7061686783493871, 39276106871501482, 38746694982786839, 188860376343631], 'label': '2662000.a.10._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.L', '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': None}
  • id: 15654265
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 34106329850384588, 189640143151674, 38746694982786839, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654266
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 9600068597830601, 38746694982786839, 22210877986805490, 188860376343631, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654267
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 15359738141297108, 44007098876118478, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654268
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654269
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654270
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 44007098876118478, 38746694982786839, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654271
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 760693267150804, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654272
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 189378713810104, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654273
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 189899409240240, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654274
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 44007098876118478, 190936084189268, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654275
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 34106329850384588, 38746694982786839, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.M', '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': None}
  • id: 15654276
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 189640143151674, 38746694982786839, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654277
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 22210877986805490, 188860376343631, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654278
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654279
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [32047720888719435, 39276106871501482, 8502064636773731, 38746694982786839, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654280
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [45187299069376969, 7061686783493871, 28837587605443591, 39276106871501482, 41892009063798686, 38746694982786839, 5326016708815246], 'label': '2662000.a.50._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654281
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 43517797339864906, 38746694982786839, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654282
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 15359738141297108, 31454697263784889, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654283
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 34106329850384588, 38746694982786839, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654284
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 9600068597830601, 38746694982786839, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654285
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654286
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 15359738141297108, 31454697263784889, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.N', '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': None}
  • id: 15654287
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [32047720888719435, 39276106871501482, 38746694982786839, 760693267150804, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654288
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [28837587605443591, 39276106871501482, 5326016708815246, 38746694982786839, 189378713810104, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654289
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 13354283956667234, 38746694982786839, 41389683478636362, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654290
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 4619892841149686, 4513194785817692, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654291
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 37902845934493037, 38746694982786839, 4619892841149686, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654292
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 12748422808853562, 38746694982786839, 4619892841149686, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654293
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 21018145443355758, 38746694982786839, 4619892841149686, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654294
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 17073301796086910, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654295
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 43517797339864906, 38746694982786839, 189899409240240, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654296
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 13354283956667234, 44007098876118478, 38746694982786839, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654297
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 43517797339864906, 38746694982786839, 23515194026109115, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.O', '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': None}
  • id: 15654298
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 4513194785817692, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654299
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 37902845934493037, 38746694982786839, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654300
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 44007098876118478, 12748422808853562, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654301
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 21018145443355758, 38746694982786839, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654302
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 17073301796086910, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.50._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654303
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [14380425489625903, 37946996662981792, 41772741070013040, 8502064636773731, 39276106871501482, 21312051179845138, 38746694982786839, 43476694177229545], 'label': '2662000.a.55._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654304
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41772741070013040, 4528803808742932, 39276106871501482, 41892009063798686, 21312051179845138, 38746694982786839, 43476694177229545, 6336738279136408], 'label': '2662000.a.55._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654305
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 20886370535006520, 38746694982786839, 38019048175204905, 43476694177229545, 21312051179845138, 41772741070013040], 'label': '2662000.a.55._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654306
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [43476694177229545, 39276106871501482, 21312051179845138, 14075985932503436, 38746694982786839, 41772741070013040, 41892009063798686, 12855103595531635], 'label': '2662000.a.55._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654307
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41772741070013040, 16856612850776339, 39276106871501482, 41892009063798686, 21312051179845138, 38746694982786839, 43476694177229545, 22195011927399996], 'label': '2662000.a.55._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654308
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [45187299069376969, 23515194026109115, 7061686783493871, 28837587605443591, 39276106871501482, 41892009063798686, 38746694982786839, 5326016708815246], 'label': '2662000.a.10._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.P', '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': None}
  • id: 15654309
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 21033886957777643, 38746694982786839, 20224123122644963, 43476694177229545, 21312051179845138, 41772741070013040], 'label': '2662000.a.55._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654310
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 8502064636773731, 6336738279136408, 38746694982786839, 43476694177229545, 37946996662981792, 41772741070013040], 'label': '2662000.a.55._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654311
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [37946996662981792, 20124307725447678, 26714623757230845, 16474351904540716, 22002056551724521, 8502064636773731, 1327252174261275, 22842984700713609], 'label': '2662000.a.55._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654312
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [37946996662981792, 22210877986805490, 45187299069376969, 44007098876118478, 7061686783493871, 30280290494740276, 8502064636773731, 27892633515966281], 'label': '2662000.a.55._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654313
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.80._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654314
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.80._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654315
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23515194026109115, 23124222817174264, 7061686783493871], 'label': '2662000.a.80._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654319
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [37946996662981792, 22210877986805490, 45187299069376969, 44007098876118478, 23515194026109115, 7061686783493871, 8502064636773731, 39276106871501482, 38746694982786839], 'label': '2662000.a.2._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654320
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32047720888719435, 39276106871501482, 8502064636773731, 38746694982786839, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.Q', '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': None}
  • id: 15654321
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 22210877986805490, 37946996662981792, 7061686783493871], 'label': '2662000.a.80._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.G', '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': None}
  • id: 15654322
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 36553228599262503, 7061686783493871], 'label': '2662000.a.80._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.H', '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': None}
  • id: 15654323
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 22210877986805490, 7061686783493871], 'label': '2662000.a.80._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.I', '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': None}
  • id: 15654324
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 37946996662981792, 2753090008902068, 7061686783493871], 'label': '2662000.a.80._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.J', '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': None}
  • id: 15654325
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 2753090008902068, 7061686783493871], 'label': '2662000.a.80._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.K', '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': None}
  • id: 15654326
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 2753090008902068, 7061686783493871], 'label': '2662000.a.80._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.L', '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': None}
  • id: 15654327
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 19535706710079137, 2753090008902068, 7061686783493871], 'label': '2662000.a.80._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.M', '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': None}
  • id: 15654328
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 2753090008902068, 7061686783493871], 'label': '2662000.a.80._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.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': None}
  • id: 15654329
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 36553228599262503, 37946996662981792, 7061686783493871], 'label': '2662000.a.80._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.O', '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': None}
  • id: 15654330
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 36553228599262503, 7061686783493871], 'label': '2662000.a.80._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.P', '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': None}
  • id: 15654331
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9600068597830601, 22210877986805490, 45187299069376969, 23515194026109115, 7061686783493871, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.10._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.R', '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': None}
  • id: 15654332
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 36553228599262503, 7061686783493871], 'label': '2662000.a.80._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.Q', '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': None}
  • id: 15654333
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 19535706710079137, 36553228599262503, 7061686783493871], 'label': '2662000.a.80._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654334
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 22210877986805490, 7061686783493871], 'label': '2662000.a.80._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654335
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 38746694982786839, 37946996662981792, 21312051179845138, 41772741070013040], 'label': '2662000.a.88._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654336
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 8502064636773731, 38746694982786839, 37946996662981792, 21312051179845138], 'label': '2662000.a.88._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654337
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 38627794477428157, 38746694982786839, 22210877986805490, 21312051179845138], 'label': '2662000.a.88._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654338
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [38842239288844361, 15829178008429158, 35482739772432672, 4513194785817692, 4681861614088898, 385005832975037], 'label': '2662000.a.88._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654339
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [36388112527725795, 8503477047450022, 30978369192253595, 37946996662981792, 7805543433718386, 9151110375932767], 'label': '2662000.a.88._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654340
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [40862508539604542, 8503477047450022, 43813250495185903, 22210877986805490, 17951657623162533, 9151110375932767], 'label': '2662000.a.88._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654341
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 41628336927715011, 22741308623119024, 38746694982786839, 41389683478636362, 21312051179845138], 'label': '2662000.a.88._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654342
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 34106329850384588, 189640143151674, 38746694982786839, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.S', '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': None}
  • id: 15654343
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 2013440544611265, 38746694982786839, 37946996662981792, 21312051179845138], 'label': '2662000.a.88._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654344
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39743033021760948, 8503477047450022, 15827451944333817, 189899409240240, 13573171202600660, 9151110375932767], 'label': '2662000.a.88._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654345
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 35482739772432672, 24595228459680851, 13446240114210030, 189899409240240, 13573171202600660], 'label': '2662000.a.88._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654346
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23387583705773236, 39274354889468590, 21312051179845138], 'label': '2662000.a.88._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654347
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 38627794477428157, 38746694982786839, 4513194785817692, 22210877986805490, 21312051179845138], 'label': '2662000.a.88._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654348
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [28512072462414478, 8503477047450022, 7063073444212685, 2834532032666064, 4513194785817692, 9151110375932767], 'label': '2662000.a.88._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654349
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [8503477047450022, 8502064636773731, 30978369192253595, 37946996662981792, 7805543433718386, 9151110375932767], 'label': '2662000.a.88._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654350
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654351
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654352
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 5326016708815246, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654353
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 190936084189268, 31454697263784889, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.T', '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': None}
  • id: 15654354
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654355
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 15359738141297108, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654356
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654357
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654358
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654359
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23515194026109115, 760434195758256, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654360
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 760693267150804, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654361
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 189378713810104, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654362
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 189899409240240, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654363
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 190936084189268, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654364
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 43517797339864906, 38746694982786839, 189899409240240, 23515194026109115, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.U', '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': None}
  • id: 15654365
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 189640143151674, 38746694982786839, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654366
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 22210877986805490, 188860376343631, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654367
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 13189550145974045, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654368
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654369
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 25253363059190925, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654370
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23515194026109115, 5084276205189114, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654371
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 13354283956667234, 38746694982786839, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654372
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 4513194785817692, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654373
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 37902845934493037, 38746694982786839, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654374
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 12748422808853562, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654375
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [28837587605443591, 39276106871501482, 5326016708815246, 38746694982786839, 189378713810104, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.V', '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': None}
  • id: 15654376
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 21018145443355758, 38746694982786839, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654377
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 17073301796086910, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654378
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 38746694982786839, 21577553861842023, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654379
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 42460090755597658, 15579937106753412, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654380
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 36341938644280423, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654381
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 15601774054670121, 38746694982786839, 5252988988143824, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654382
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [31728594655638944, 39276106871501482, 38746694982786839, 42460466657357488, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654383
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [45187299069376969, 7061686783493871, 40654399258581902, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.100._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654384
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 36341938644280423, 38746694982786839, 5253473465417221, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654385
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40654399258581902, 39276106871501482, 42461189908467339, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654386
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32047720888719435, 39276106871501482, 38746694982786839, 760693267150804, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.W', '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': None}
  • id: 15654387
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [45187299069376969, 7061686783493871, 39276106871501482, 41892009063798686, 38746694982786839, 11369148769200618], 'label': '2662000.a.100._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654388
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 33030535524339976, 38746694982786839, 5251229040665162, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654389
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 42461977598045298, 10241383227142507, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654390
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 10241383227142507, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654391
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 5252506868803598, 38746694982786839, 36553228599262503, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654392
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 42460026338550664, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654393
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38988190798606244, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654394
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 32605256545375642, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654395
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654396
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 36553228599262503, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654397
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9600068597830601, 22210877986805490, 45187299069376969, 23515194026109115, 7061686783493871, 39276106871501482, 38746694982786839, 188860376343631], 'label': '2662000.a.10._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.X', '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': None}
  • id: 15654398
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654399
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 31676590173543312, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654400
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38607548892136163, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654401
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41065631812717732, 45187299069376969, 7061686783493871, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.100._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654402
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 38746694982786839, 32605256545375642, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654403
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 9070626408748699, 15579937106753412, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654404
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [45187299069376969, 7061686783493871, 39276106871501482, 35256061680298157, 41892009063798686, 38746694982786839], 'label': '2662000.a.100._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654405
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 15601774054670121, 9198547977890411, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654406
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [31728594655638944, 39276106871501482, 17306007350202909, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654407
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 15173437969308649, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654408
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 21018145443355758, 38746694982786839, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.Y', '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': None}
  • id: 15654409
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 36341938644280423, 21757804984947157, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654410
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40654399258581902, 39276106871501482, 33811600838334172, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654411
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 928471892116488, 38746694982786839, 19535706710079137, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654412
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 33030535524339976, 38746694982786839, 17847662927244805, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654413
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 12982595257418006, 38746694982786839, 10241383227142507, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654414
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654415
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 36553228599262503, 42586141797845514, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654416
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 38746694982786839, 420664008999903, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654417
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.100._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654418
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654419
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [15359738141297108, 12748422808853562, 45187299069376969, 23515194026109115, 7061686783493871, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.10._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.Z', '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': None}
  • id: 15654420
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 23515194026109115, 5084276205189114, 7061686783493871], 'label': '2662000.a.100._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654421
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23515194026109115, 5084276205189114, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654422
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 13354283956667234, 8502064636773731, 38746694982786839, 37946996662981792, 7061686783493871], 'label': '2662000.a.100._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654423
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 2452136320867225, 7061686783493871], 'label': '2662000.a.100._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654424
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 31676590173543312, 7061686783493871], 'label': '2662000.a.100._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654425
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40331262389473699, 38746694982786839, 26909485695988766, 19535706710079137, 7061686783493871], 'label': '2662000.a.100._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654426
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38607548892136163, 38746694982786839, 8789784542198233, 7061686783493871], 'label': '2662000.a.100._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654427
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 13354283956667234, 38746694982786839, 37946996662981792, 7061686783493871], 'label': '2662000.a.100._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654428
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 2452136320867225, 16937396076867607, 7061686783493871], 'label': '2662000.a.100._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654429
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 33738530916834052, 31676590173543312, 7061686783493871], 'label': '2662000.a.100._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654430
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4513194785817692, 41389683478636362, 22210877986805490, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.2._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654431
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 37902845934493037, 38746694982786839, 23515194026109115, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BA', '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': None}
  • id: 15654432
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [19095825425664454, 39276106871501482, 38746694982786839, 26909485695988766, 19535706710079137, 7061686783493871], 'label': '2662000.a.100._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654433
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 27486648395579745, 38607548892136163, 38746694982786839, 7061686783493871], 'label': '2662000.a.100._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654434
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 5326016708815246, 38746694982786839, 4513194785817692, 7061686783493871], 'label': '2662000.a.100._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654435
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 26082219804666843, 39276106871501482, 38746694982786839, 32605256545375642, 7061686783493871], 'label': '2662000.a.100._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654436
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 9070626408748699, 15579937106753412, 7061686783493871], 'label': '2662000.a.100._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654437
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 11369148769200618, 38746694982786839, 29251233835796007, 7061686783493871], 'label': '2662000.a.100._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654438
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 26647856605092153, 404635349714394, 38746694982786839, 7061686783493871], 'label': '2662000.a.100._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654439
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 4513194785817692, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654440
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 38746694982786839, 32605256545375642, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654441
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 9070626408748699, 15579937106753412, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654442
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 5326016708815246, 38746694982786839, 4513194785817692, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BB', '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': None}
  • id: 15654443
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 11369148769200618, 38746694982786839, 29251233835796007, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654444
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 26647856605092153, 404635349714394, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654445
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 37902845934493037, 38746694982786839, 23124222817174264, 7061686783493871], 'label': '2662000.a.100._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654446
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 15601774054670121, 9198547977890411, 38746694982786839, 7061686783493871], 'label': '2662000.a.100._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654447
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 31728594655638944, 39276106871501482, 17306007350202909, 38746694982786839, 7061686783493871], 'label': '2662000.a.100._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654448
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 35256061680298157, 38746694982786839, 25305926020998977, 7061686783493871], 'label': '2662000.a.100._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654449
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41065631812717732, 7061686783493871, 39276106871501482, 25523532823848875, 41892009063798686, 38746694982786839], 'label': '2662000.a.100._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654450
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 37902845934493037, 38746694982786839, 23124222817174264, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654451
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 15601774054670121, 9198547977890411, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654452
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [31728594655638944, 39276106871501482, 17306007350202909, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654453
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 13354283956667234, 8502064636773731, 38746694982786839, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BC', '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': None}
  • id: 15654454
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 35256061680298157, 38746694982786839, 25305926020998977, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654455
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41065631812717732, 7061686783493871, 39276106871501482, 7472849424250198, 25523532823848875, 38746694982786839], 'label': '2662000.a.100._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654456
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 15359738141297108, 12748422808853562, 38746694982786839, 7061686783493871], 'label': '2662000.a.100._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654457
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 36341938644280423, 21757804984947157, 38746694982786839, 7061686783493871], 'label': '2662000.a.100._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654458
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 40654399258581902, 39276106871501482, 33811600838334172, 38746694982786839, 7061686783493871], 'label': '2662000.a.100._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654459
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 17070054953025549, 40311325653395829, 7061686783493871], 'label': '2662000.a.100._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654460
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 25138091971120, 38746694982786839, 29849235680418377, 7061686783493871], 'label': '2662000.a.100._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654461
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 12748422808853562, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654462
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 36341938644280423, 21757804984947157, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654463
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40654399258581902, 39276106871501482, 33811600838334172, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654464
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [22210877986805490, 45187299069376969, 23515194026109115, 7061686783493871, 17073301796086910, 39276106871501482, 41892009063798686, 38746694982786839], 'label': '2662000.a.10._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BD', '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': None}
  • id: 15654465
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 17070054953025549, 40311325653395829, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654466
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 25138091971120, 38746694982786839, 29849235680418377, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654467
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 21018145443355758, 38746694982786839, 19740740215598295, 7061686783493871], 'label': '2662000.a.100._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654468
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 33030535524339976, 38746694982786839, 17847662927244805, 7061686783493871], 'label': '2662000.a.100._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654469
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 12982595257418006, 38746694982786839, 10241383227142507, 7061686783493871], 'label': '2662000.a.100._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654470
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7061686783493871, 4512264859920281, 39276106871501482, 41892009063798686, 38746694982786839, 26975997839668741], 'label': '2662000.a.100._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654471
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38988190798606244, 38746694982786839, 12964071019834824, 7061686783493871], 'label': '2662000.a.100._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654472
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 21018145443355758, 38746694982786839, 19740740215598295, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654473
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 33030535524339976, 38746694982786839, 17847662927244805, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654474
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 12982595257418006, 38746694982786839, 10241383227142507, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654475
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 4513194785817692, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BE', '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': None}
  • id: 15654476
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [7061686783493871, 4512264859920281, 39276106871501482, 7472849424250198, 38746694982786839, 26975997839668741], 'label': '2662000.a.100._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654477
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38988190798606244, 38746694982786839, 12964071019834824, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654478
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 17073301796086910, 22210877986805490, 7061686783493871], 'label': '2662000.a.100._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654479
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 36553228599262503, 42586141797845514, 7061686783493871], 'label': '2662000.a.100._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654480
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 28141036563241148, 39276106871501482, 38746694982786839, 420664008999903, 7061686783493871], 'label': '2662000.a.100._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654481
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 33576291505581541, 38746694982786839, 2753090008902068, 7061686783493871], 'label': '2662000.a.100._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654482
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 1873432254497795, 39276106871501482, 38746694982786839, 21577553861842023, 7061686783493871], 'label': '2662000.a.100._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654483
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 17073301796086910, 22210877986805490, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654484
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 36553228599262503, 7472849424250198, 42586141797845514, 7061686783493871], 'label': '2662000.a.100._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654485
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 38746694982786839, 420664008999903, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654486
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 21018145443355758, 38746694982786839, 4619892841149686, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BF', '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': None}
  • id: 15654487
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 33576291505581541, 38746694982786839, 2753090008902068, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654488
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 5252605379905692, 38746694982786839, 32605256545375642, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654489
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 43517797339864906, 38746694982786839, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654490
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 31454697263784889, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654491
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 34106329850384588, 38746694982786839, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654492
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 9600068597830601, 38746694982786839, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654493
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654494
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654495
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 41389683478636362, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654496
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 4619892841149686, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654497
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 12748422808853562, 38746694982786839, 4619892841149686, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BG', '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': None}
  • id: 15654498
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 20019358556107997, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654499
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 16428262257343898, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654500
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 21664288013708259, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654501
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 38746694982786839, 40902019691155073, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654502
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 19046273848494998, 38746694982786839, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654503
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [6980439469262955, 39276106871501482, 38746694982786839, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654504
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654505
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654506
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654507
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654508
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 37902845934493037, 38746694982786839, 4619892841149686, 23515194026109115, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BH', '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': None}
  • id: 15654509
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 44007098876118478, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654510
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654511
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654512
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 38746694982786839, 4619892841149686, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654513
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [32047720888719435, 39276106871501482, 38746694982786839, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654514
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [28837587605443591, 39276106871501482, 5326016708815246, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.100._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654515
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 7061686783493871], 'label': '2662000.a.100._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654516
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 19740740215598295, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654517
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 22210877986805490, 7061686783493871], 'label': '2662000.a.100._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654518
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 22210877986805490, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654519
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 4619892841149686, 4513194785817692, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BI', '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': None}
  • id: 15654520
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654521
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 23124222817174264, 7061686783493871], 'label': '2662000.a.100._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654522
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23124222817174264, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654523
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 15359738141297108, 44007098876118478, 38746694982786839, 7061686783493871], 'label': '2662000.a.100._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654524
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 44007098876118478, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.100._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654525
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 19740740215598295, 7061686783493871], 'label': '2662000.a.100._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654526
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 44007098876118478, 38746694982786839, 37946996662981792, 7061686783493871], 'label': '2662000.a.100._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654527
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 44007098876118478, 38746694982786839, 37946996662981792, 7061686783493871], 'label': '2662000.a.100._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654528
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 2013440544611265, 20886370535006520, 38746694982786839, 45341340834794022, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654529
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 43476694177229545, 37946996662981792, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654530
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 13354283956667234, 38746694982786839, 41389683478636362, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BJ', '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': None}
  • id: 15654531
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 20886370535006520, 38746694982786839, 43476694177229545, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654532
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41772741070013040, 39276106871501482, 41892009063798686, 21312051179845138, 38746694982786839, 43476694177229545, 12855103595531635], 'label': '2662000.a.110._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654533
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 16856612850776339, 38746694982786839, 43476694177229545, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654534
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 21033886957777643, 38746694982786839, 43476694177229545, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654535
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 41097906310888648, 38746694982786839, 760693267150804, 45300245618136774, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654536
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 7033438356279966, 38746694982786839, 189378713810104, 42946263558631621, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654537
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 2013440544611265, 20886370535006520, 44007098876118478, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654538
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 190936084189268, 38746694982786839, 13005756103050687, 21312051179845138, 41804080553418316, 41772741070013040], 'label': '2662000.a.110._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654539
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 19210594910442543, 189640143151674, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654540
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 42830393157150732, 24715227222510862, 38746694982786839, 21312051179845138, 188860376343631, 41772741070013040], 'label': '2662000.a.110._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654541
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 4513194785817692, 22210877986805490, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.2._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654542
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4619892841149686, 22210877986805490, 45187299069376969, 23515194026109115, 7061686783493871, 17073301796086910, 39276106871501482, 38746694982786839], 'label': '2662000.a.10._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BK', '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': None}
  • id: 15654543
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 30754654520300389, 8502064636773731, 38746694982786839, 37946996662981792, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654544
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 4528803808742932, 38746694982786839, 25457430129575834, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654545
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 20886370535006520, 38746694982786839, 45341340834794022, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654546
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41772741070013040, 39276106871501482, 41892009063798686, 21312051179845138, 38746694982786839, 12855103595531635, 30428270401438778], 'label': '2662000.a.110._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654547
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 16856612850776339, 38746694982786839, 21312051179845138, 35399372619839553, 41772741070013040], 'label': '2662000.a.110._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654548
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 21033886957777643, 10130543366554152, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654549
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 41097906310888648, 38746694982786839, 760693267150804, 30224491000672171, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654550
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [28837587605443591, 39276106871501482, 7033438356279966, 38746694982786839, 189378713810104, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654551
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 4528803808742932, 38746694982786839, 43476694177229545, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654552
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 190936084189268, 31454697263784889, 38746694982786839, 13005756103050687, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654553
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 21018145443355758, 38746694982786839, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BL', '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': None}
  • id: 15654554
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 19210594910442543, 34106329850384588, 189640143151674, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654555
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 9600068597830601, 24715227222510862, 38746694982786839, 21312051179845138, 188860376343631, 41772741070013040], 'label': '2662000.a.110._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654556
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [14380425489625903, 39276106871501482, 8502064636773731, 38746694982786839, 37946996662981792, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654557
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 4528803808742932, 6336738279136408, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654558
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 20886370535006520, 38746694982786839, 38019048175204905, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654559
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41772741070013040, 39276106871501482, 41892009063798686, 21312051179845138, 38746694982786839, 12855103595531635, 14075985932503436], 'label': '2662000.a.110._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654560
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 22195011927399996, 16856612850776339, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654561
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 21033886957777643, 38746694982786839, 20224123122644963, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654562
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 8502064636773731, 6336738279136408, 38746694982786839, 37946996662981792, 41772741070013040], 'label': '2662000.a.110._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654563
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 41628336927715011, 38746694982786839, 41389683478636362, 14531150442320651, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654564
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 44007098876118478, 12748422808853562, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BM', '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': None}
  • id: 15654565
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 6939326231760187, 5209886933088347, 38746694982786839, 4513194785817692, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654566
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 6939326231760187, 20886370535006520, 37902845934493037, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654567
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [16501921148120923, 39276106871501482, 6939326231760187, 12748422808853562, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654568
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 6939326231760187, 21018145443355758, 19210594910442543, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654569
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 6939326231760187, 38746694982786839, 22857438400617484, 17073301796086910, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654570
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 12673086593196626, 44007098876118478, 38746694982786839, 39274354889468590, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654571
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 6487177921932227, 44007098876118478, 38746694982786839, 5856447345128780, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654572
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 39726361132439351, 20886370535006520, 44007098876118478, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654573
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 13925260997363126, 15855360753796100, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654574
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 21018145443355758, 19210594910442543, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654575
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 37902845934493037, 38746694982786839, 23515194026109115, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BN', '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': None}
  • id: 15654576
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 19543208711124273, 23387583705773236, 21312051179845138, 41772741070013040], 'label': '2662000.a.110._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654577
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 27623759965029264, 8039942895235877, 35482739772432672, 35222786366590269, 33660054195318559, 2388312433786421], 'label': '2662000.a.110._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654578
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [36388112527725795, 6262179562609894, 37946996662981792, 8503477047450022, 8502064636773731, 7805543433718386, 9151110375932767], 'label': '2662000.a.110._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654579
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [36388112527725795, 8503477047450022, 2660324589166912, 7805543433718386, 14093819163358563, 41892009063798686, 9151110375932767], 'label': '2662000.a.110._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654580
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [41892009063798686, 5560683712826570, 36388112527725795, 8503477047450022, 3191058608057662, 7805543433718386, 9151110375932767], 'label': '2662000.a.110._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654581
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [41892009063798686, 36388112527725795, 8503477047450022, 17828913927038497, 3838253884012304, 7805543433718386, 9151110375932767], 'label': '2662000.a.110._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654582
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [41892009063798686, 36388112527725795, 8503477047450022, 835511269233662, 21830423182283201, 7805543433718386, 9151110375932767], 'label': '2662000.a.110._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654583
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [41892009063798686, 36388112527725795, 8503477047450022, 30978369192253595, 2543889055184844, 7805543433718386, 9151110375932767], 'label': '2662000.a.110._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654584
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [36388112527725795, 8503477047450022, 8502064636773731, 30978369192253595, 2660324589166912, 37946996662981792, 9151110375932767], 'label': '2662000.a.110._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654585
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [41772741070013040, 44344603617938888, 7312309955232307, 39276106871501482, 4629397026529681, 38746694982786839, 28140919946680972], 'label': '2662000.a.110._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654586
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 4513194785817692, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BO', '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': None}
  • id: 15654587
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15751165423455181, 36388112527725795, 8503477047450022, 27308988983742065, 42175274582202249, 44344603617938888, 9151110375932767], 'label': '2662000.a.110._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654588
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 19258120685419351, 27623759965029264, 15751165423455181, 35482739772432672, 44344603617938888, 36871261952263468], 'label': '2662000.a.110._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654589
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 2387983220141822, 38746694982786839, 3696993981615108, 7513604764950887, 41772741070013040], 'label': '2662000.a.110._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654590
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [3067669543973319, 36388112527725795, 8503477047450022, 8039942895235877, 15758743817300065, 35933799578106078, 9151110375932767], 'label': '2662000.a.110._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654591
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 27623759965029264, 8039942895235877, 35933799578106078, 35482739772432672, 39703620180823361, 2388312433786421], 'label': '2662000.a.110._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654592
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 847212707657797, 42178235968123069, 38746694982786839, 28552002176492268, 8789784542198233, 41772741070013040], 'label': '2662000.a.110._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654593
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [23702603548685530, 25469943066595771, 36388112527725795, 8503477047450022, 10905119763374702, 8789784542198233, 9151110375932767], 'label': '2662000.a.110._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654594
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 7639199502618597, 27623759965029264, 35482739772432672, 8789784542198233, 9967213432990813, 33669213589653765], 'label': '2662000.a.110._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654595
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 34199443549564987, 27409650476490509, 37946996662981792, 41772741070013040], 'label': '2662000.a.110._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654596
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [36388112527725795, 8503477047450022, 8502064636773731, 18492087591303321, 35222786366590269, 37946996662981792, 9151110375932767], 'label': '2662000.a.110._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654597
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 13354283956667234, 44007098876118478, 38746694982786839, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BP', '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': None}
  • id: 15654598
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 27623759965029264, 8502064636773731, 35482739772432672, 36553228599262503, 45436568015521166, 37946996662981792], 'label': '2662000.a.110._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654599
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [41772741070013040, 44344603617938888, 7312309955232307, 2071934439380968, 39276106871501482, 26728816440342071, 38746694982786839], 'label': '2662000.a.110._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654600
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [36388112527725795, 8503477047450022, 27308988983742065, 44344603617938888, 22288593331336172, 2753090008902068, 9151110375932767], 'label': '2662000.a.110._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654601
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 27623759965029264, 35482739772432672, 44344603617938888, 7724099052006710, 14698461137459700, 36871261952263468], 'label': '2662000.a.110._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654602
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 8039942895235877, 23918014322599599, 2387983220141822, 38746694982786839, 41772741070013040], 'label': '2662000.a.110._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654603
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [3067669543973319, 41863814962152974, 36388112527725795, 8503477047450022, 8039942895235877, 14698461137459700, 9151110375932767], 'label': '2662000.a.110._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654604
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 27623759965029264, 8039942895235877, 35482739772432672, 22288593331336172, 2388312433786421, 22210877986805490], 'label': '2662000.a.110._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654605
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 40331262389473699, 25435623168991736, 28140956170154606, 18854737844668177, 38746694982786839, 41772741070013040], 'label': '2662000.a.110._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654606
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [11415903021151549, 36388112527725795, 8503477047450022, 40331262389473699, 42175274582202249, 7111493077471231, 9151110375932767], 'label': '2662000.a.110._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654607
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [5522733142193698, 15829178008429158, 27623759965029264, 40331262389473699, 35482739772432672, 7111493077471231, 3676137049946888], 'label': '2662000.a.110._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654608
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [22210877986805490, 45187299069376969, 44007098876118478, 23515194026109115, 7061686783493871, 17073301796086910, 39276106871501482, 38746694982786839], 'label': '2662000.a.10._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BQ', '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': None}
  • id: 15654609
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 10893983197794651, 40331262389473699, 18854737844668177, 38746694982786839, 1576303898619462, 41772741070013040], 'label': '2662000.a.110._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654610
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [11415903021151549, 36388112527725795, 8503477047450022, 40331262389473699, 9070626408748699, 38760797265255936, 9151110375932767], 'label': '2662000.a.110._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654611
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 27623759965029264, 40331262389473699, 35482739772432672, 7724099052006710, 33660054195318559, 3676137049946888], 'label': '2662000.a.110._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654612
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 10247262017135924, 42178235968123069, 38746694982786839, 22210877986805490, 8789784542198233, 41772741070013040], 'label': '2662000.a.110._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654613
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [23702603548685530, 11325432238003924, 36388112527725795, 8503477047450022, 19810258172695321, 8789784542198233, 9151110375932767], 'label': '2662000.a.110._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654614
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 27623759965029264, 35482739772432672, 13446240114210030, 33660054195318559, 8789784542198233, 9967213432990813], 'label': '2662000.a.110._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654615
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 28141046849451221, 8502064636773731, 38746694982786839, 9070626408748699, 37946996662981792, 41772741070013040], 'label': '2662000.a.110._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654616
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [36388112527725795, 8503477047450022, 8502064636773731, 42175274582202249, 33660054195318559, 37946996662981792, 9151110375932767], 'label': '2662000.a.110._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654617
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 27623759965029264, 8502064636773731, 37699152355963719, 35482739772432672, 33660054195318559, 37946996662981792], 'label': '2662000.a.110._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654618
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 44344603617938888, 7312309955232307, 12186854914352409, 2670797994764959, 41772741070013040], 'label': '2662000.a.110._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654619
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38746694982786839, 22210877986805490, 8789784542198233, 9070626408748699, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BR', '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': None}
  • id: 15654620
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [36388112527725795, 8503477047450022, 27308988983742065, 44779433670680726, 44344603617938888, 33589461445622978, 9151110375932767], 'label': '2662000.a.110._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654621
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 27623759965029264, 35482739772432672, 44344603617938888, 33660054195318559, 36871261952263468, 31618339416628355], 'label': '2662000.a.110._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654622
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 11540419045364304, 2387983220141822, 38746694982786839, 34729793792792100, 41772741070013040], 'label': '2662000.a.110._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654623
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [36388112527725795, 35375584509880952, 8503477047450022, 8039942895235877, 3067669543973319, 26752417540166757, 9151110375932767], 'label': '2662000.a.110._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654624
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [28837587605443591, 39276106871501482, 2013440544611265, 38746694982786839, 22857438400617484, 40451345898848215, 41772741070013040], 'label': '2662000.a.110._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654625
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [37946996662981792, 22210877986805490, 45187299069376969, 44007098876118478, 7061686783493871, 8502064636773731, 27892633515966281], 'label': '2662000.a.110._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654626
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [26714623757230845, 30978369192253595, 12483346052875113, 16474351904540716, 385005832975037, 189899409240240, 1327252174261275], 'label': '2662000.a.110._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654627
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 8502064636773731, 38746694982786839, 43476694177229545, 37946996662981792, 41772741070013040], 'label': '2662000.a.110._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654628
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 8502064636773731, 38746694982786839, 25457430129575834, 37946996662981792, 41772741070013040], 'label': '2662000.a.110._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654629
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [7063073444212685, 20124307725447678, 189899409240240, 37901897443413146, 27892633515966281, 45187299069376969, 7061686783493871], 'label': '2662000.a.110._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654630
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [37946996662981792, 45187299069376969, 9070626408748699, 7061686783493871, 8502064636773731, 39276106871501482, 38746694982786839, 28141036563241148], 'label': '2662000.a.10._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BS', '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': None}
  • id: 15654631
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [37946996662981792, 18397674116351197, 20124307725447678, 26714623757230845, 16474351904540716, 8502064636773731, 1327252174261275], 'label': '2662000.a.110._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654632
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [37946996662981792, 20124307725447678, 26714623757230845, 16474351904540716, 22002056551724521, 8502064636773731, 1327252174261275], 'label': '2662000.a.110._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654633
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [4710109969786354, 8502064636773731, 44246778772699011, 42991096162530734, 4681861614088898, 16389946092317562, 37946996662981792], 'label': '2662000.a.110._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654634
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [24593815881024739, 11325432238003924, 10091604949561098, 8502064636773731, 4513194785817692, 20270831707164817, 37946996662981792], 'label': '2662000.a.110._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654635
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [8502064636773731, 31604709413349271, 22210877986805490, 37946996662981792, 27892633515966281, 45187299069376969, 7061686783493871], 'label': '2662000.a.110._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654636
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [39276106871501482, 41628336927715011, 22741308623119024, 38746694982786839, 41389683478636362, 5159586483421559, 41772741070013040], 'label': '2662000.a.110._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654637
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [39743033021760948, 26714623757230845, 2660324589166912, 24595228459680851, 16474351904540716, 41389683478636362, 1327252174261275], 'label': '2662000.a.110._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654638
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [30280290494740276, 41389683478636362, 22210877986805490, 37946996662981792, 27892633515966281, 45187299069376969, 7061686783493871], 'label': '2662000.a.110._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654639
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [39276106871501482, 2013440544611265, 44007098876118478, 38746694982786839, 23387583705773236, 39274354889468590, 41772741070013040], 'label': '2662000.a.110._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654640
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [26714623757230845, 30978369192253595, 29740731590913599, 16474351904540716, 385005832975037, 189899409240240, 1327252174261275], 'label': '2662000.a.110._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654641
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 9070626408748699, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BT', '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': None}
  • id: 15654642
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [44007098876118478, 7063073444212685, 20124307725447678, 189899409240240, 27892633515966281, 45187299069376969, 7061686783493871], 'label': '2662000.a.110._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654643
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [39276106871501482, 6487177921932227, 44007098876118478, 38746694982786839, 23387583705773236, 39274354889468590, 41772741070013040], 'label': '2662000.a.110._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654644
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [28512072462414478, 15751165423455181, 44007098876118478, 26714623757230845, 15827451944333817, 16474351904540716, 1327252174261275], 'label': '2662000.a.110._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654645
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55, 'diagramx': None, 'generators': [44007098876118478, 4513194785817692, 2560794363636782, 9149643705570618, 27892633515966281, 45187299069376969, 7061686783493871], 'label': '2662000.a.110._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654646
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [28512072462414478, 38509205735089683, 33361333023897324, 8502064636773731, 37946996662981792, 27892633515966281, 2008909851638667], 'label': '2662000.a.110._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654647
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [37859415835999327, 36388112527725795, 8502064636773731, 30978369192253595, 16474351904540716, 37946996662981792, 9151110375932767], 'label': '2662000.a.110._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654648
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [37276710568872083, 8502064636773731, 13883344011282473, 29744852938531128, 16474351904540716, 35482400274349440, 37946996662981792], 'label': '2662000.a.110._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654649
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [36388112527725795, 8502064636773731, 18397674116351197, 30978369192253595, 37946996662981792, 27892633515966281, 9151110375932767], 'label': '2662000.a.110._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654650
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [37276710568872083, 8502064636773731, 29744852938531128, 35482400274349440, 34754742848347715, 37946996662981792, 27892633515966281], 'label': '2662000.a.110._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654651
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [15829178008429158, 39743033021760948, 27623759965029264, 8502064636773731, 5159228599918100, 37946996662981792, 27892633515966281], 'label': '2662000.a.110._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654652
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 4513194785817692, 22210877986805490, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.2._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654653
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 36553228599262503, 9070626408748699, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BU', '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': None}
  • id: 15654654
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [15829178008429158, 39743033021760948, 27623759965029264, 8502064636773731, 35888697797197922, 16474351904540716, 37946996662981792], 'label': '2662000.a.110._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654655
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [20980189128349895, 41863814962152974, 8502064636773731, 21513159116125217, 37948722727077254, 37946996662981792, 27892633515966281], 'label': '2662000.a.110._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654656
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [8502064636773731, 44007098876118478, 16474351904540716, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.110._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654657
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 110, 'diagramx': None, 'generators': [28512072462414478, 38509205735089683, 33361333023897324, 8502064636773731, 20031338514871700, 16474351904540716, 37946996662981792], 'label': '2662000.a.110._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654658
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': '121.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 121, 'diagramx': None, 'generators': [37946996662981792, 15212276047797131, 36428686609316419, 42539696625089084, 45520332623308659, 17030526901705566, 5859246329223108, 8502064636773731], 'label': '2662000.a.121.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '121.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654659
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': '125.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 44007098876118478, 38746694982786839, 5084276205189114, 45187299069376969, 7061686783493871], 'label': '2662000.a.125.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '125.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '125.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654660
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [39276106871501482, 21033886957777643, 38746694982786839, 37946996662981792, 21312051179845138], 'label': '2662000.a.176._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '176.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654661
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22, 'diagramx': None, 'generators': [15829178008429158, 39743033021760948, 35482739772432672, 37946996662981792, 33077467014117700], 'label': '2662000.a.176._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '176.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654662
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654663
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654664
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [44344603617938888, 45187299069376969, 7061686783493871, 6631467992752647, 4513194785817692, 39276106871501482, 38746694982786839, 28141036563241148], 'label': '2662000.a.10._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BV', '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': None}
  • id: 15654665
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654666
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654667
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654668
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 19740740215598295, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654669
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 22210877986805490, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654670
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.200._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654671
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23515194026109115, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654672
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 37946996662981792, 7061686783493871], 'label': '2662000.a.200._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654673
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 40862508539604542, 38746694982786839, 37946996662981792, 7061686783493871], 'label': '2662000.a.200._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654674
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 5326016708815246, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654675
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 45187299069376969, 8039942895235877, 7061686783493871, 4513194785817692, 39276106871501482, 38746694982786839, 4095080974353445], 'label': '2662000.a.10._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BW', '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': None}
  • id: 15654676
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654677
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 23124222817174264, 7061686783493871], 'label': '2662000.a.200._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654678
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23124222817174264, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654679
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 15359738141297108, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654680
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654681
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 19740740215598295, 7061686783493871], 'label': '2662000.a.200._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654682
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 19740740215598295, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654683
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 22210877986805490, 7061686783493871], 'label': '2662000.a.200._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654684
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 22210877986805490, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654685
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 38746694982786839, 21577553861842023, 7061686783493871], 'label': '2662000.a.200._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654686
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 45187299069376969, 42178440886707259, 7061686783493871, 8789784542198233, 39276106871501482, 26082219804666843, 38746694982786839], 'label': '2662000.a.10._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BX', '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': None}
  • id: 15654687
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 7061686783493871], 'label': '2662000.a.200._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654688
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 8039942895235877, 4095080974353445, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654689
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654690
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 16937396076867607, 7061686783493871], 'label': '2662000.a.200._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654691
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 33738530916834052, 7061686783493871], 'label': '2662000.a.200._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654692
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 36341938644280423, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654693
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 11369148769200618, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654694
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 32605256545375642, 7061686783493871], 'label': '2662000.a.200._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654695
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40654399258581902, 39276106871501482, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654696
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 11369148769200618, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654697
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 8502064636773731, 38746694982786839, 36553228599262503, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BY', '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': None}
  • id: 15654698
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 32605256545375642, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654699
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 11369148769200618, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654700
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 41065631812717732, 7061686783493871], 'label': '2662000.a.200._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654701
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 35256061680298157, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654702
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 10241383227142507, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654703
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 7472849424250198, 41065631812717732, 7061686783493871], 'label': '2662000.a.200._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654704
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 35256061680298157, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654705
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38988190798606244, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654706
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 36341938644280423, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654707
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 40654399258581902, 39276106871501482, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654708
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 6631467992752647, 38746694982786839, 44344603617938888, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654709
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 32605256545375642, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654710
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 36341938644280423, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654711
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40654399258581902, 39276106871501482, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654712
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654713
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 10241383227142507, 7061686783493871], 'label': '2662000.a.200._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654714
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38988190798606244, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654715
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 36553228599262503, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654716
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 10241383227142507, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654717
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38988190798606244, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654718
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654719
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [22210877986805490, 8039942895235877, 45187299069376969, 7061686783493871, 39276106871501482, 26082219804666843, 38746694982786839, 4095080974353445], 'label': '2662000.a.10._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654720
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 2753090008902068, 7061686783493871], 'label': '2662000.a.200._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654721
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 36553228599262503, 7061686783493871], 'label': '2662000.a.200._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654722
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 41065631812717732, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654723
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 2753090008902068, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654724
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 36553228599262503, 7472849424250198, 7061686783493871], 'label': '2662000.a.200._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654725
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 23515194026109115, 7061686783493871], 'label': '2662000.a.200._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654726
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23515194026109115, 760434195758256, 7061686783493871], 'label': '2662000.a.200._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654727
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 760693267150804, 37946996662981792, 7061686783493871], 'label': '2662000.a.200._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654728
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 15173437969308649, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654729
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 928471892116488, 38746694982786839, 19535706710079137, 7061686783493871], 'label': '2662000.a.200._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654730
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [45187299069376969, 7061686783493871, 19535706710079137, 39276106871501482, 26082219804666843, 38746694982786839, 28141036563241148, 40331262389473699], 'label': '2662000.a.10._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654731
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 44112448299774055, 7061686783493871], 'label': '2662000.a.200._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654732
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 5701819065823036, 7061686783493871], 'label': '2662000.a.200._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654733
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 189378713810104, 7061686783493871], 'label': '2662000.a.200._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654734
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 5252605379905692, 38746694982786839, 32605256545375642, 7061686783493871], 'label': '2662000.a.200._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654735
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 42460090755597658, 15579937106753412, 7061686783493871], 'label': '2662000.a.200._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654736
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 11369148769200618, 38746694982786839, 12745899445236234, 7061686783493871], 'label': '2662000.a.200._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654737
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9018877485763485, 39276106871501482, 26647856605092153, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654738
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 189899409240240, 23124222817174264, 7061686783493871], 'label': '2662000.a.200._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654739
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 15601774054670121, 38746694982786839, 5252988988143824, 7061686783493871], 'label': '2662000.a.200._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654740
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [31728594655638944, 39276106871501482, 38746694982786839, 42460466657357488, 7061686783493871], 'label': '2662000.a.200._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654741
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 40331262389473699, 38746694982786839, 19535706710079137, 9070626408748699, 2753090008902068, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654742
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 35256061680298157, 38746694982786839, 12746303524643449, 7061686783493871], 'label': '2662000.a.200._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654743
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 9017195773075024, 38746694982786839, 41065631812717732, 7061686783493871], 'label': '2662000.a.200._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654744
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 190936084189268, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654745
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 36341938644280423, 38746694982786839, 5253473465417221, 7061686783493871], 'label': '2662000.a.200._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654746
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40654399258581902, 39276106871501482, 42461189908467339, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654747
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 12747705909290332, 40311325653395829, 7061686783493871], 'label': '2662000.a.200._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654748
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 25138091971120, 38746694982786839, 9016946787703944, 7061686783493871], 'label': '2662000.a.200._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654749
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 189640143151674, 38746694982786839, 19740740215598295, 7061686783493871], 'label': '2662000.a.200._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654750
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 33030535524339976, 38746694982786839, 5251229040665162, 7061686783493871], 'label': '2662000.a.200._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654751
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 42461977598045298, 10241383227142507, 7061686783493871], 'label': '2662000.a.200._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654752
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [28837587605443591, 39276106871501482, 8502064636773731, 38746694982786839, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654753
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 26975997839668741, 38746694982786839, 12746114356216287, 7061686783493871], 'label': '2662000.a.200._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654754
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38988190798606244, 38746694982786839, 9017895143788556, 7061686783493871], 'label': '2662000.a.200._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654755
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 22210877986805490, 188860376343631, 7061686783493871], 'label': '2662000.a.200._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654756
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 5252506868803598, 38746694982786839, 36553228599262503, 7061686783493871], 'label': '2662000.a.200._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654757
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 42460026338550664, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654758
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 12745184115124749, 38746694982786839, 2753090008902068, 7061686783493871], 'label': '2662000.a.200._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654759
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1873432254497795, 39276106871501482, 38746694982786839, 9017420966544245, 7061686783493871], 'label': '2662000.a.200._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654760
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.200._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654761
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23515194026109115, 5084276205189114, 7061686783493871], 'label': '2662000.a.200._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654762
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 13354283956667234, 38746694982786839, 37946996662981792, 7061686783493871], 'label': '2662000.a.200._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654763
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 38746694982786839, 22210877986805490, 23515194026109115, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.4._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654764
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [189899409240240, 37946996662981792, 22210877986805490, 45187299069376969, 7061686783493871, 28837587605443591, 39276106871501482, 38746694982786839], 'label': '2662000.a.10._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654765
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4095080974353445, 38746694982786839, 31676590173543312, 7061686783493871], 'label': '2662000.a.200._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654766
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 42178440886707259, 38607548892136163, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654767
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 6631467992752647, 38746694982786839, 2452136320867225, 7061686783493871], 'label': '2662000.a.200._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654768
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 26909485695988766, 19535706710079137, 7061686783493871], 'label': '2662000.a.200._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654769
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 4513194785817692, 7061686783493871], 'label': '2662000.a.200._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654770
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26082219804666843, 39276106871501482, 38746694982786839, 32605256545375642, 7061686783493871], 'label': '2662000.a.200._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654771
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 9070626408748699, 15579937106753412, 7061686783493871], 'label': '2662000.a.200._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654772
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 11369148769200618, 38746694982786839, 29251233835796007, 7061686783493871], 'label': '2662000.a.200._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654773
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 26647856605092153, 404635349714394, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654774
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 37902845934493037, 38746694982786839, 23124222817174264, 7061686783493871], 'label': '2662000.a.200._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654775
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 8502064636773731, 44007098876118478, 38746694982786839, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654776
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 15601774054670121, 9198547977890411, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654777
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [31728594655638944, 39276106871501482, 17306007350202909, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654778
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 35256061680298157, 38746694982786839, 25305926020998977, 7061686783493871], 'label': '2662000.a.200._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654779
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 25523532823848875, 38746694982786839, 41065631812717732, 7061686783493871], 'label': '2662000.a.200._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654780
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 12748422808853562, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654781
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 36341938644280423, 21757804984947157, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654782
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40654399258581902, 39276106871501482, 33811600838334172, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654783
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 17070054953025549, 40311325653395829, 7061686783493871], 'label': '2662000.a.200._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654784
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 25138091971120, 38746694982786839, 29849235680418377, 7061686783493871], 'label': '2662000.a.200._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654785
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 21018145443355758, 38746694982786839, 19740740215598295, 7061686783493871], 'label': '2662000.a.200._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654825
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.500._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '500.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '500._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654786
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4513194785817692, 41389683478636362, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654787
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 33030535524339976, 38746694982786839, 17847662927244805, 7061686783493871], 'label': '2662000.a.200._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654788
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 12982595257418006, 38746694982786839, 10241383227142507, 7061686783493871], 'label': '2662000.a.200._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654789
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 4512264859920281, 26975997839668741, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654790
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38988190798606244, 38746694982786839, 12964071019834824, 7061686783493871], 'label': '2662000.a.200._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654791
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 17073301796086910, 22210877986805490, 7061686783493871], 'label': '2662000.a.200._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654792
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 36553228599262503, 42586141797845514, 7061686783493871], 'label': '2662000.a.200._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654793
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28141036563241148, 39276106871501482, 38746694982786839, 420664008999903, 7061686783493871], 'label': '2662000.a.200._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654794
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 33576291505581541, 38746694982786839, 2753090008902068, 7061686783493871], 'label': '2662000.a.200._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654795
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [39276106871501482, 35256061680298157, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.200._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654796
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 44007098876118478, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654797
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 189899409240240, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654798
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 23124222817174264, 7061686783493871], 'label': '2662000.a.200._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654799
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 44007098876118478, 38746694982786839, 7061686783493871], 'label': '2662000.a.200._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654800
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 19740740215598295, 7061686783493871], 'label': '2662000.a.200._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654801
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 22210877986805490, 7061686783493871], 'label': '2662000.a.200._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654802
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 23124222817174264, 7061686783493871], 'label': '2662000.a.200._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654803
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 38746694982786839, 4619892841149686, 7061686783493871], 'label': '2662000.a.200._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654804
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 19740740215598295, 7061686783493871], 'label': '2662000.a.200._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654805
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 4619892841149686, 22210877986805490, 7061686783493871], 'label': '2662000.a.200._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654806
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 41389683478636362, 37946996662981792, 7061686783493871], 'label': '2662000.a.200._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654807
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 4619892841149686, 7061686783493871], 'label': '2662000.a.200._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654808
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 4513194785817692, 22210877986805490, 37946996662981792, 45187299069376969, 7061686783493871], 'label': '2662000.a.10._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654809
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10, 'diagramx': None, 'generators': [39276106871501482, 44007098876118478, 38746694982786839, 37946996662981792, 7061686783493871], 'label': '2662000.a.200._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654810
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 20886370535006520, 38746694982786839, 45341340834794022, 21312051179845138, 41772741070013040], 'label': '2662000.a.220._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654811
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 2013440544611265, 20886370535006520, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.220._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654812
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 6939326231760187, 20886370535006520, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.220._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '220.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654813
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 5084276205189114, 45187299069376969, 7061686783493871], 'label': '2662000.a.250._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '250.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '250._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654814
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23124222817174264, 7061686783493871], 'label': '2662000.a.400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654815
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 23515194026109115, 7061686783493871], 'label': '2662000.a.400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654816
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 19740740215598295, 7061686783493871], 'label': '2662000.a.400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654817
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 37946996662981792, 7061686783493871], 'label': '2662000.a.400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654818
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 15359738141297108, 38746694982786839, 7061686783493871], 'label': '2662000.a.400._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654819
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': '11.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11, 'diagramx': None, 'generators': [37946996662981792, 41772741070013040, 8502064636773731, 39276106871501482, 21033886957777643, 21312051179845138, 38746694982786839, 43476694177229545, 6336738279136408], 'label': '2662000.a.11.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654820
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 5326016708815246, 38746694982786839, 7061686783493871], 'label': '2662000.a.400._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654821
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 22210877986805490, 7061686783493871], 'label': '2662000.a.400._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654822
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 20886370535006520, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.440._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '440.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654823
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 760434195758256, 45187299069376969, 7061686783493871], 'label': '2662000.a.500._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '500.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '500._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654824
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 5084276205189114, 45187299069376969, 7061686783493871], 'label': '2662000.a.500._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '500.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '500._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654826
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 21312051179845138, 1290908983968967, 25783837827914465, 41772741070013040], 'label': '2662000.a.550._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '550.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '550._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654827
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 20886370535006520, 38746694982786839, 21312051179845138], 'label': '2662000.a.880._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '880.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654828
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 7061686783493871], 'label': '2662000.a.1000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654829
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 7472849424250198, 7061686783493871], 'label': '2662000.a.1000._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1000.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654830
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 22210877986805490, 23515194026109115, 37946996662981792, 7061686783493871], 'label': '2662000.a.16.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654831
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 45187299069376969, 7061686783493871], 'label': '2662000.a.1000._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1000.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1000._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654832
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 2013440544611265, 20886370535006520, 38746694982786839, 41772741070013040], 'label': '2662000.a.1100._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654833
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 21312051179845138, 1290908983968967, 41772741070013040], 'label': '2662000.a.1100._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1100.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654834
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 6939326231760187, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.1100._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1100.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654835
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 21312051179845138, 25783837827914465, 41772741070013040], 'label': '2662000.a.1100._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1100.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1100._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654836
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': '2000.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 7061686783493871], 'label': '2662000.a.2000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654837
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 20886370535006520, 38746694982786839, 41772741070013040], 'label': '2662000.a.2200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654838
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 21312051179845138, 41772741070013040], 'label': '2662000.a.2200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654839
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 21312051179845138], 'label': '2662000.a.4400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654840
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 20886370535006520, 38746694982786839], 'label': '2662000.a.4400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654841
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 19740740215598295, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654842
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 1290908983968967, 41772741070013040], 'label': '2662000.a.5500._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5500.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5500._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654843
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839, 41772741070013040], 'label': '2662000.a.11000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654844
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [42539696625089084, 15212276047797131, 28310181471088160, 9503970095928393], 'label': '2662000.a.12100._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12100._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654845
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': '21296.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1331, 'diagramx': None, 'generators': [37705565335565999, 10857433242964994, 37595466963011736], 'label': '2662000.a.21296.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '21296.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21296.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654846
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [39276106871501482, 38746694982786839], 'label': '2662000.a.22000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654847
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [42539696625089084, 15212276047797131, 9503970095928393], 'label': '2662000.a.24200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654848
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [42539696625089084, 9503970095928393], 'label': '2662000.a.48400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654849
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [761211693117227, 42539696625089084, 15212276047797131], 'label': '2662000.a.60500._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '60500.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60500._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654850
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [42539696625089084, 15212276047797131], 'label': '2662000.a.121000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '121000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '121000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654851
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': '166375.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6655, 'diagramx': None, 'generators': [43717027341277786, 36692650251544554, 10462043042974514, 41772741070013040], 'label': '2662000.a.166375.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '25._.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '166375.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '166375.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654852
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 15359738141297108, 38746694982786839, 23515194026109115, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654853
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [42539696625089084], 'label': '2662000.a.242000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '242000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654854
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [20886370535006520, 41772741070013040], 'label': '2662000.a.266200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '266200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '266200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654855
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [20886370535006520], 'label': '2662000.a.532400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '532400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '532400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654856
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41772741070013040], 'label': '2662000.a.1331000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1331000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1331000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654857
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': '2662000.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '2662000.a.2662000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2662000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2662000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 15654858
    {'ambient': '2662000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41892009063798686, 39276106871501482, 38746694982786839, 23515194026109115, 23124222817174264, 45187299069376969, 7061686783493871], 'label': '2662000.a.20._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20._.C', 'subgroup_fusion': None, 'weyl_group': None}