Abstract group data - 19360.h

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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': '40.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 220, 'aut_gen_orders': [20, 20, 20, 20, 10, 10], 'aut_gens': [[1, 10, 40, 440], [7441, 6970, 160, 16280], [8821, 11010, 5360, 13760], [4001, 14430, 10720, 12760], [14721, 11030, 2080, 1320], [1461, 3990, 120, 18440], [7361, 430, 16080, 2200]], 'aut_group': None, 'aut_hash': 6924539337684527549, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 154880, 'aut_permdeg': 297, 'aut_perms': [7981763939924546360764279891347510331416028051802311028847405748176021680524974958531783888904297415942642717507862049004320161971518192380606189829014126901419378151500691435705692825142189827977482899335345661026196356140681289702115466714016403813301679339142257995200908295976626190142752212711359289214332096802111076306118650912566705768746356007094827711799656106570118824436596745765730865798697708593311306919335153594543640844757055614989677436085366858493607917271772680313331884311406446131646366380326636633464951693243285444197902735317485948319399453823001895992766097361809504528490888641636, 7797365890094484635567463367269859991887348279547220125329318629411583540100741595692991023911141833845151056231714268299310125711668262631552991121631967976609011126022198090717474266640602644372342865375659358046153990934328856490775000909876154882609330544933236035392047605168536186463632634772952105063597859249474766122845428039087451000114601829336697053890456099492172549806130545991574857744662940736044726637720187202233799306409177178478454571532320414866489664107244676009738163736411832208882862625183076839171102221087548035311062575028833608863593234891007473165667028088811551088163196566534, 7774395186523272174222101450642361929796384303951529235881361372299167587561570868233534011630163741116098465267632161832832621211038825034169995471355890951752963983046706982386092735005729673638891143250676644805003730139400893284357727703957079448300046732554323177496455790501404620884122455772532905588958112101350309734256643178818425244058439282199421120116050468011286908779822859731660904866261368840804283786847526598505617831684232257152128246737759086420799857223671367486997845492632533290469065822109105415596392202995465003362137058207863140229592956710507365189625866236529047424060960638891, 829252450956721580879999891512276813257294288507975636575203368163787715681404733813811219125587317056307520481663358016293529034459148623076276642252404401062028581854462398323247017218907645062093693469959491687977389978878174960489335499140158627094974319731215270057947056034776960815417606036456449497948747852157011265254894816943839323315682986380142417512288823224947712310733339746205219139697807033630461428916831396185248102699897402885959181908261066251226104313615137998612431212244090292232864492141995513449832062024572917081355937428210078922492059485706660885807757251596036976288331400945, 10877110785860949840434608649598775219658896940717142729782485870223152081055582046264052872596708373605319430391674083255157081466170536402533285578400813783468898912906500336001761538492257072165398243953820599547690274178760186501098972478680199500558288145982845740397827958230377417585639101286949519432616444661757330972099231571603995282361575686710120728815039916250191718869867780606942950570727264143650911476726403562846934488338838533240953925814283572498044727322758105836665283390354057947984227052575969652866212153969377573059601298748094043040678047507414880593774431889870189322850646985821, 4528487603208450142208928240749216875254352526615846622728539469391732956610921856863191929995510893736018080708174787260357438820087951294837650884171020647201396201989689341020569605391713888502451083826846031749174321205036116711210119471668157155920776469795612701621045531899689667973711732493306703468866248897677646835477184907015452131406051423467689628612754050421159248079677351492143914191653418257635681378756101437770536229159843793562701282230478680712604135297644680047754965206528357568592921686771910084471337320841592081598968746811124875662137491860540518840629936683234362646415211890435], 'aut_phi_ratio': 22.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 44, 2, 1], [2, 121, 2, 1], [4, 2, 1, 1], [4, 44, 2, 1], [4, 242, 1, 1], [5, 121, 1, 4], [8, 242, 4, 1], [10, 121, 1, 4], [10, 121, 2, 4], [10, 484, 2, 4], [11, 20, 1, 2], [11, 40, 1, 2], [20, 242, 1, 8], [20, 484, 2, 4], [22, 20, 1, 2], [22, 40, 1, 2], [22, 440, 2, 1], [40, 242, 4, 4], [44, 40, 1, 2], [44, 40, 2, 2], [44, 440, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_{11}^2.C_2^3.C_5.C_2^5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 220, 'autcentquo_group': None, 'autcentquo_hash': 5713448921273139074, 'autcentquo_nilpotent': False, 'autcentquo_order': 19360, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_{11}^2.C_{10}.C_2^4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 44, 2], [2, 121, 2], [4, 2, 1], [4, 44, 2], [4, 242, 1], [5, 121, 4], [8, 242, 4], [10, 121, 12], [10, 484, 8], [11, 20, 2], [11, 40, 2], [20, 242, 8], [20, 484, 8], [22, 20, 2], [22, 40, 2], [22, 440, 2], [40, 242, 16], [44, 40, 6], [44, 440, 2]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '9680.ba', 'commutator_count': 1, 'commutator_label': '484.6', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '5.1', '11.1', '11.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 8, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 44, 1, 2], [2, 121, 1, 2], [4, 2, 1, 1], [4, 44, 1, 2], [4, 242, 1, 1], [5, 121, 4, 1], [8, 242, 2, 2], [10, 121, 4, 3], [10, 484, 4, 2], [11, 20, 1, 2], [11, 40, 1, 2], [20, 242, 4, 2], [20, 484, 4, 2], [22, 20, 1, 2], [22, 40, 1, 2], [22, 440, 1, 2], [40, 242, 8, 2], [44, 40, 1, 2], [44, 40, 2, 2], [44, 440, 1, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 15249024, 'exponent': 440, 'exponents_of_order': [5, 2, 1], 'factors_of_aut_order': [2, 5, 11], 'factors_of_order': [2, 5, 11], 'faithful_reps': [[40, -1, 1], [40, 0, 4], [40, 1, 1]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '9680.ba', 'hash': 6161013968996120931, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 220, 'inner_gen_orders': [10, 4, 11, 22], 'inner_gens': [[1, 15870, 14440, 15400], [6181, 10, 12360, 9520], [5401, 7050, 40, 440], [4401, 10730, 40, 440]], 'inner_hash': 7887305892697447099, 'inner_nilpotent': False, 'inner_order': 9680, 'inner_split': True, 'inner_tex': 'C_2\\times D_{11}^2:C_{10}', 'inner_used': [1, 2, 4], 'irrC_degree': 40, 'irrQ_degree': 40, 'irrQ_dim': 40, 'irrR_degree': 40, 'irrep_stats': [[1, 40], [2, 30], [20, 8], [40, 10]], 'label': '19360.h', 'linC_count': 160, 'linC_degree': 22, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 24, 'linQ_degree_count': 16, 'linQ_dim': 24, 'linQ_dim_count': 16, 'linR_count': 80, 'linR_degree': 24, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C11^2:(C10*SD16)', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 54, 'number_characteristic_subgroups': 23, 'number_conjugacy_classes': 88, 'number_divisions': 40, 'number_normal_subgroups': 47, 'number_subgroup_autclasses': 182, 'number_subgroup_classes': 260, 'number_subgroups': 13840, 'old_label': None, 'order': 19360, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 331], [4, 332], [5, 484], [8, 968], [10, 5324], [11, 120], [20, 5808], [22, 1000], [40, 3872], [44, 1120]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [0, 0, 4840, 0], 'outer_gens': [[4841, 4850, 40, 10120], [1, 9690, 40, 10120], [14521, 10, 40, 440], [12401, 16730, 400, 9240]], 'outer_group': '16.11', 'outer_hash': 11, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 6, 'outer_perms': [6, 415, 127, 126], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 30, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 2], [4, 10], [8, 2], [16, 2], [20, 8], [40, 6], [80, 2]], 'representations': {'PC': {'code': '237709070594190553847084917911028329208630051796201051475099379336692318935694701973809500934294955234405539276375703009009', 'gens': [1, 3, 5, 6], 'pres': [8, 2, 5, 2, 2, 11, 2, 2, 11, 16, 380882, 106210, 66, 86403, 203851, 15515, 577604, 3212, 49460, 828, 739205, 390733, 45717, 22205, 141, 640646, 369614, 104182, 51774, 166, 225287, 225295, 114199, 56351]}, 'GLFp': {'d': 4, 'p': 11, 'gens': [10205032106821235, 10522401710269773, 3352440040187918, 28359274195767324, 16265167320216339, 39688262258321567, 40451685466516614, 41772741070013040]}, 'Perm': {'d': 30, 'gens': [10725617432828987907080673449809, 19932021658053053191376966091196, 29085808057853731426811931276437, 10192793457047840180283803040000, 36423478910311224388218174412800, 47009471610196414840525654366080, 56159299088347860887786997253751, 5329]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 10], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'transitive_degree': 88, '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: 109147899
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 8, 'group_order': 19360, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 109147910
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 8, 'group_order': 19360, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 9680, 'size': 1}
  • id: 109147921
    {'aut_label': '2B', 'centralizer': '44.b1.a1', 'counter': 3, 'group_counter': 8, 'group_order': 19360, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 9745, 'size': 44}
  • id: 109147932
    {'aut_label': '2B', 'centralizer': '44.b1.b1', 'counter': 4, 'group_counter': 8, 'group_order': 19360, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 14525, 'size': 44}
  • id: 109147943
    {'aut_label': '2D', 'centralizer': '121.a1.a1', 'counter': 5, 'group_counter': 8, 'group_order': 19360, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 18420, 'size': 121}
  • id: 109147954
    {'aut_label': '2D', 'centralizer': '121.a1.a1', 'counter': 6, 'group_counter': 8, 'group_order': 19360, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 5220, 'size': 121}
  • id: 109147965
    {'aut_label': '4A', 'centralizer': '2.d1.a1', 'counter': 7, 'group_counter': 8, 'group_order': 19360, 'label': '4A', 'order': 4, 'powers': [2, 7, 7], 'representative': 4840, 'size': 2}
  • id: 109147976
    {'aut_label': '4B', 'centralizer': '44.i1.a1', 'counter': 8, 'group_counter': 8, 'group_order': 19360, 'label': '4B', 'order': 4, 'powers': [2, 8, 8], 'representative': 8375, 'size': 44}
  • id: 109147986
    {'aut_label': '4B', 'centralizer': '44.i1.b1', 'counter': 9, 'group_counter': 8, 'group_order': 19360, 'label': '4C', 'order': 4, 'powers': [2, 9, 9], 'representative': 3935, 'size': 44}
  • id: 109147900
    {'aut_label': '4D', 'centralizer': '242.d1.a1', 'counter': 10, 'group_counter': 8, 'group_order': 19360, 'label': '4D', 'order': 4, 'powers': [2, 10, 10], 'representative': 4780, 'size': 242}
  • id: 109147901
    {'aut_label': '5A1', 'centralizer': '121.a1.a1', 'counter': 11, 'group_counter': 8, 'group_order': 19360, 'label': '5A1', 'order': 5, 'powers': [13, 1, 11], 'representative': 10604, 'size': 121}
  • id: 109147902
    {'aut_label': '5A-1', 'centralizer': '121.a1.a1', 'counter': 12, 'group_counter': 8, 'group_order': 19360, 'label': '5A-1', 'order': 5, 'powers': [14, 1, 12], 'representative': 1846, 'size': 121}
  • id: 109147903
    {'aut_label': '5A2', 'centralizer': '121.a1.a1', 'counter': 13, 'group_counter': 8, 'group_order': 19360, 'label': '5A2', 'order': 5, 'powers': [12, 1, 13], 'representative': 5528, 'size': 121}
  • id: 109147904
    {'aut_label': '5A-2', 'centralizer': '121.a1.a1', 'counter': 14, 'group_counter': 8, 'group_order': 19360, 'label': '5A-2', 'order': 5, 'powers': [11, 1, 14], 'representative': 17962, 'size': 121}
  • id: 109147905
    {'aut_label': '8A1', 'centralizer': '242.d1.a1', 'counter': 15, 'group_counter': 8, 'group_order': 19360, 'label': '8A1', 'order': 8, 'powers': [10, 16, 15], 'representative': 2570, 'size': 242}
  • id: 109147906
    {'aut_label': '8A1', 'centralizer': '242.d1.a1', 'counter': 16, 'group_counter': 8, 'group_order': 19360, 'label': '8A-1', 'order': 8, 'powers': [10, 15, 16], 'representative': 2230, 'size': 242}
  • id: 109147907
    {'aut_label': '8A1', 'centralizer': '242.d1.a1', 'counter': 17, 'group_counter': 8, 'group_order': 19360, 'label': '8B1', 'order': 8, 'powers': [10, 18, 17], 'representative': 17090, 'size': 242}
  • id: 109147908
    {'aut_label': '8A1', 'centralizer': '242.d1.a1', 'counter': 18, 'group_counter': 8, 'group_order': 19360, 'label': '8B-1', 'order': 8, 'powers': [10, 17, 18], 'representative': 7070, 'size': 242}
  • id: 109147909
    {'aut_label': '10A1', 'centralizer': '121.a1.a1', 'counter': 19, 'group_counter': 8, 'group_order': 19360, 'label': '10A1', 'order': 10, 'powers': [11, 5, 19], 'representative': 462, 'size': 121}
  • id: 109147911
    {'aut_label': '10A-1', 'centralizer': '121.a1.a1', 'counter': 20, 'group_counter': 8, 'group_order': 19360, 'label': '10A-1', 'order': 10, 'powers': [12, 5, 20], 'representative': 468, 'size': 121}
  • id: 109147912
    {'aut_label': '10A3', 'centralizer': '121.a1.a1', 'counter': 21, 'group_counter': 8, 'group_order': 19360, 'label': '10A3', 'order': 10, 'powers': [14, 5, 21], 'representative': 466, 'size': 121}
  • id: 109147913
    {'aut_label': '10A-3', 'centralizer': '121.a1.a1', 'counter': 22, 'group_counter': 8, 'group_order': 19360, 'label': '10A-3', 'order': 10, 'powers': [13, 5, 22], 'representative': 464, 'size': 121}
  • id: 109147914
    {'aut_label': '10A1', 'centralizer': '121.a1.a1', 'counter': 23, 'group_counter': 8, 'group_order': 19360, 'label': '10B1', 'order': 10, 'powers': [11, 6, 23], 'representative': 1342, 'size': 121}
  • id: 109147915
    {'aut_label': '10A-1', 'centralizer': '121.a1.a1', 'counter': 24, 'group_counter': 8, 'group_order': 19360, 'label': '10B-1', 'order': 10, 'powers': [12, 6, 24], 'representative': 1348, 'size': 121}
  • id: 109147916
    {'aut_label': '10A3', 'centralizer': '121.a1.a1', 'counter': 25, 'group_counter': 8, 'group_order': 19360, 'label': '10B3', 'order': 10, 'powers': [14, 6, 25], 'representative': 1346, 'size': 121}
  • id: 109147917
    {'aut_label': '10A-3', 'centralizer': '121.a1.a1', 'counter': 26, 'group_counter': 8, 'group_order': 19360, 'label': '10B-3', 'order': 10, 'powers': [13, 6, 26], 'representative': 1344, 'size': 121}
  • id: 109147918
    {'aut_label': '10C1', 'centralizer': '121.a1.a1', 'counter': 27, 'group_counter': 8, 'group_order': 19360, 'label': '10C1', 'order': 10, 'powers': [12, 2, 27], 'representative': 4648, 'size': 121}
  • id: 109147919
    {'aut_label': '10C-1', 'centralizer': '121.a1.a1', 'counter': 28, 'group_counter': 8, 'group_order': 19360, 'label': '10C-1', 'order': 10, 'powers': [11, 2, 28], 'representative': 11802, 'size': 121}
  • id: 109147920
    {'aut_label': '10C3', 'centralizer': '121.a1.a1', 'counter': 29, 'group_counter': 8, 'group_order': 19360, 'label': '10C3', 'order': 10, 'powers': [13, 2, 29], 'representative': 18524, 'size': 121}
  • id: 109147922
    {'aut_label': '10C-3', 'centralizer': '121.a1.a1', 'counter': 30, 'group_counter': 8, 'group_order': 19360, 'label': '10C-3', 'order': 10, 'powers': [14, 2, 30], 'representative': 8006, 'size': 121}
  • id: 109147923
    {'aut_label': '10D1', 'centralizer': '484.a1.a1', 'counter': 31, 'group_counter': 8, 'group_order': 19360, 'label': '10D1', 'order': 10, 'powers': [14, 3, 31], 'representative': 4421, 'size': 484}
  • id: 109147924
    {'aut_label': '10D-1', 'centralizer': '484.a1.a1', 'counter': 32, 'group_counter': 8, 'group_order': 19360, 'label': '10D-1', 'order': 10, 'powers': [13, 3, 32], 'representative': 16989, 'size': 484}
  • id: 109147925
    {'aut_label': '10D3', 'centralizer': '484.a1.a1', 'counter': 33, 'group_counter': 8, 'group_order': 19360, 'label': '10D3', 'order': 10, 'powers': [12, 3, 33], 'representative': 13583, 'size': 484}
  • id: 109147926
    {'aut_label': '10D-3', 'centralizer': '484.a1.a1', 'counter': 34, 'group_counter': 8, 'group_order': 19360, 'label': '10D-3', 'order': 10, 'powers': [11, 3, 34], 'representative': 15067, 'size': 484}
  • id: 109147927
    {'aut_label': '10D3', 'centralizer': '484.a1.a1', 'counter': 35, 'group_counter': 8, 'group_order': 19360, 'label': '10E1', 'order': 10, 'powers': [12, 4, 35], 'representative': 11043, 'size': 484}
  • id: 109147928
    {'aut_label': '10D-3', 'centralizer': '484.a1.a1', 'counter': 36, 'group_counter': 8, 'group_order': 19360, 'label': '10E-1', 'order': 10, 'powers': [11, 4, 36], 'representative': 9527, 'size': 484}
  • id: 109147929
    {'aut_label': '10D-1', 'centralizer': '484.a1.a1', 'counter': 37, 'group_counter': 8, 'group_order': 19360, 'label': '10E3', 'order': 10, 'powers': [13, 4, 37], 'representative': 7569, 'size': 484}
  • id: 109147930
    {'aut_label': '10D1', 'centralizer': '484.a1.a1', 'counter': 38, 'group_counter': 8, 'group_order': 19360, 'label': '10E-3', 'order': 10, 'powers': [14, 4, 38], 'representative': 601, 'size': 484}
  • id: 109147931
    {'aut_label': '11A', 'centralizer': '20.f1.a1', 'counter': 39, 'group_counter': 8, 'group_order': 19360, 'label': '11A', 'order': 11, 'powers': [39, 39, 1], 'representative': 1760, 'size': 20}
  • id: 109147933
    {'aut_label': '11B', 'centralizer': '20.h1.a1', 'counter': 40, 'group_counter': 8, 'group_order': 19360, 'label': '11B', 'order': 11, 'powers': [40, 40, 1], 'representative': 2080, 'size': 20}
  • id: 109147934
    {'aut_label': '11C', 'centralizer': '40.b1.a1', 'counter': 41, 'group_counter': 8, 'group_order': 19360, 'label': '11C', 'order': 11, 'powers': [41, 41, 1], 'representative': 1920, 'size': 40}
  • id: 109147935
    {'aut_label': '11D', 'centralizer': '40.b1.a1', 'counter': 42, 'group_counter': 8, 'group_order': 19360, 'label': '11D', 'order': 11, 'powers': [42, 42, 1], 'representative': 2120, 'size': 40}
  • id: 109147936
    {'aut_label': '20A1', 'centralizer': '242.d1.a1', 'counter': 43, 'group_counter': 8, 'group_order': 19360, 'label': '20A1', 'order': 20, 'powers': [27, 10, 43], 'representative': 15304, 'size': 242}
  • id: 109147937
    {'aut_label': '20A-1', 'centralizer': '242.d1.a1', 'counter': 44, 'group_counter': 8, 'group_order': 19360, 'label': '20A-1', 'order': 20, 'powers': [28, 10, 44], 'representative': 16146, 'size': 242}
  • id: 109147938
    {'aut_label': '20A3', 'centralizer': '242.d1.a1', 'counter': 45, 'group_counter': 8, 'group_order': 19360, 'label': '20A3', 'order': 20, 'powers': [29, 10, 45], 'representative': 12342, 'size': 242}
  • id: 109147939
    {'aut_label': '20A-3', 'centralizer': '242.d1.a1', 'counter': 46, 'group_counter': 8, 'group_order': 19360, 'label': '20A-3', 'order': 20, 'powers': [30, 10, 46], 'representative': 9828, 'size': 242}
  • id: 109147940
    {'aut_label': '20B1', 'centralizer': '242.d1.a1', 'counter': 47, 'group_counter': 8, 'group_order': 19360, 'label': '20B1', 'order': 20, 'powers': [30, 7, 47], 'representative': 11328, 'size': 242}
  • id: 109147941
    {'aut_label': '20B-1', 'centralizer': '242.d1.a1', 'counter': 48, 'group_counter': 8, 'group_order': 19360, 'label': '20B-1', 'order': 20, 'powers': [29, 7, 48], 'representative': 18962, 'size': 242}
  • id: 109147942
    {'aut_label': '20B3', 'centralizer': '242.d1.a1', 'counter': 49, 'group_counter': 8, 'group_order': 19360, 'label': '20B3', 'order': 20, 'powers': [27, 7, 49], 'representative': 17364, 'size': 242}
  • id: 109147944
    {'aut_label': '20B-3', 'centralizer': '242.d1.a1', 'counter': 50, 'group_counter': 8, 'group_order': 19360, 'label': '20B-3', 'order': 20, 'powers': [28, 7, 50], 'representative': 846, 'size': 242}
  • id: 109147945
    {'aut_label': '20C1', 'centralizer': '484.e1.a1', 'counter': 51, 'group_counter': 8, 'group_order': 19360, 'label': '20C1', 'order': 20, 'powers': [29, 8, 51], 'representative': 11897, 'size': 484}
  • id: 109147946
    {'aut_label': '20C-1', 'centralizer': '484.e1.a1', 'counter': 52, 'group_counter': 8, 'group_order': 19360, 'label': '20C-1', 'order': 20, 'powers': [30, 8, 52], 'representative': 7493, 'size': 484}
  • id: 109147947
    {'aut_label': '20C3', 'centralizer': '484.e1.a1', 'counter': 53, 'group_counter': 8, 'group_order': 19360, 'label': '20C3', 'order': 20, 'powers': [28, 8, 53], 'representative': 14531, 'size': 484}
  • id: 109147948
    {'aut_label': '20C-3', 'centralizer': '484.e1.a1', 'counter': 54, 'group_counter': 8, 'group_order': 19360, 'label': '20C-3', 'order': 20, 'powers': [27, 8, 54], 'representative': 6619, 'size': 484}
  • id: 109147949
    {'aut_label': '20C3', 'centralizer': '484.e1.a1', 'counter': 55, 'group_counter': 8, 'group_order': 19360, 'label': '20D1', 'order': 20, 'powers': [28, 9, 55], 'representative': 9951, 'size': 484}
  • id: 109147950
    {'aut_label': '20C-3', 'centralizer': '484.e1.a1', 'counter': 56, 'group_counter': 8, 'group_order': 19360, 'label': '20D-1', 'order': 20, 'powers': [27, 9, 56], 'representative': 17999, 'size': 484}
  • id: 109147951
    {'aut_label': '20C-1', 'centralizer': '484.e1.a1', 'counter': 57, 'group_counter': 8, 'group_order': 19360, 'label': '20D3', 'order': 20, 'powers': [30, 9, 57], 'representative': 7273, 'size': 484}
  • id: 109147952
    {'aut_label': '20C1', 'centralizer': '484.e1.a1', 'counter': 58, 'group_counter': 8, 'group_order': 19360, 'label': '20D-3', 'order': 20, 'powers': [29, 9, 58], 'representative': 2957, 'size': 484}
  • id: 109147953
    {'aut_label': '22A', 'centralizer': '20.f1.a1', 'counter': 59, 'group_counter': 8, 'group_order': 19360, 'label': '22A', 'order': 22, 'powers': [39, 59, 2], 'representative': 880, 'size': 20}
  • id: 109147955
    {'aut_label': '22B', 'centralizer': '20.h1.a1', 'counter': 60, 'group_counter': 8, 'group_order': 19360, 'label': '22B', 'order': 22, 'powers': [40, 60, 2], 'representative': 1040, 'size': 20}
  • id: 109147956
    {'aut_label': '22C', 'centralizer': '40.b1.a1', 'counter': 61, 'group_counter': 8, 'group_order': 19360, 'label': '22C', 'order': 22, 'powers': [41, 61, 2], 'representative': 960, 'size': 40}
  • id: 109147957
    {'aut_label': '22D', 'centralizer': '40.b1.a1', 'counter': 62, 'group_counter': 8, 'group_order': 19360, 'label': '22D', 'order': 22, 'powers': [42, 62, 2], 'representative': 1280, 'size': 40}
  • id: 109147958
    {'aut_label': '22E', 'centralizer': '440.a1.a1', 'counter': 63, 'group_counter': 8, 'group_order': 19360, 'label': '22E', 'order': 22, 'powers': [39, 63, 3], 'representative': 15925, 'size': 440}
  • id: 109147959
    {'aut_label': '22E', 'centralizer': '440.a1.b1', 'counter': 64, 'group_counter': 8, 'group_order': 19360, 'label': '22F', 'order': 22, 'powers': [39, 64, 4], 'representative': 7765, 'size': 440}
  • id: 109147960
    {'aut_label': '40A1', 'centralizer': '242.d1.a1', 'counter': 65, 'group_counter': 8, 'group_order': 19360, 'label': '40A1', 'order': 40, 'powers': [43, 15, 65], 'representative': 4932, 'size': 242}
  • id: 109147961
    {'aut_label': '40A-1', 'centralizer': '242.d1.a1', 'counter': 66, 'group_counter': 8, 'group_order': 19360, 'label': '40A-1', 'order': 40, 'powers': [44, 16, 66], 'representative': 10198, 'size': 242}
  • id: 109147962
    {'aut_label': '40A3', 'centralizer': '242.d1.a1', 'counter': 67, 'group_counter': 8, 'group_order': 19360, 'label': '40A3', 'order': 40, 'powers': [45, 15, 67], 'representative': 14716, 'size': 242}
  • id: 109147963
    {'aut_label': '40A-3', 'centralizer': '242.d1.a1', 'counter': 68, 'group_counter': 8, 'group_order': 19360, 'label': '40A-3', 'order': 40, 'powers': [46, 16, 68], 'representative': 6014, 'size': 242}
  • id: 109147964
    {'aut_label': '40A-1', 'centralizer': '242.d1.a1', 'counter': 69, 'group_counter': 8, 'group_order': 19360, 'label': '40A9', 'order': 40, 'powers': [44, 15, 69], 'representative': 13978, 'size': 242}
  • id: 109147966
    {'aut_label': '40A1', 'centralizer': '242.d1.a1', 'counter': 70, 'group_counter': 8, 'group_order': 19360, 'label': '40A-9', 'order': 40, 'powers': [43, 16, 70], 'representative': 19232, 'size': 242}
  • id: 109147967
    {'aut_label': '40A3', 'centralizer': '242.d1.a1', 'counter': 71, 'group_counter': 8, 'group_order': 19360, 'label': '40A13', 'order': 40, 'powers': [45, 16, 71], 'representative': 9456, 'size': 242}
  • id: 109147968
    {'aut_label': '40A-3', 'centralizer': '242.d1.a1', 'counter': 72, 'group_counter': 8, 'group_order': 19360, 'label': '40A-13', 'order': 40, 'powers': [46, 15, 72], 'representative': 18154, 'size': 242}
  • id: 109147969
    {'aut_label': '40A1', 'centralizer': '242.d1.a1', 'counter': 73, 'group_counter': 8, 'group_order': 19360, 'label': '40B1', 'order': 40, 'powers': [43, 17, 73], 'representative': 92, 'size': 242}
  • id: 109147970
    {'aut_label': '40A-1', 'centralizer': '242.d1.a1', 'counter': 74, 'group_counter': 8, 'group_order': 19360, 'label': '40B-1', 'order': 40, 'powers': [44, 18, 74], 'representative': 15038, 'size': 242}
  • id: 109147971
    {'aut_label': '40A3', 'centralizer': '242.d1.a1', 'counter': 75, 'group_counter': 8, 'group_order': 19360, 'label': '40B3', 'order': 40, 'powers': [45, 17, 75], 'representative': 196, 'size': 242}
  • id: 109147972
    {'aut_label': '40A-3', 'centralizer': '242.d1.a1', 'counter': 76, 'group_counter': 8, 'group_order': 19360, 'label': '40B-3', 'order': 40, 'powers': [46, 18, 76], 'representative': 1174, 'size': 242}
  • id: 109147973
    {'aut_label': '40A-1', 'centralizer': '242.d1.a1', 'counter': 77, 'group_counter': 8, 'group_order': 19360, 'label': '40B9', 'order': 40, 'powers': [44, 17, 77], 'representative': 9138, 'size': 242}
  • id: 109147974
    {'aut_label': '40A1', 'centralizer': '242.d1.a1', 'counter': 78, 'group_counter': 8, 'group_order': 19360, 'label': '40B-9', 'order': 40, 'powers': [43, 18, 78], 'representative': 4712, 'size': 242}
  • id: 109147975
    {'aut_label': '40A3', 'centralizer': '242.d1.a1', 'counter': 79, 'group_counter': 8, 'group_order': 19360, 'label': '40B13', 'order': 40, 'powers': [45, 18, 79], 'representative': 4616, 'size': 242}
  • id: 109147977
    {'aut_label': '40A-3', 'centralizer': '242.d1.a1', 'counter': 80, 'group_counter': 8, 'group_order': 19360, 'label': '40B-13', 'order': 40, 'powers': [46, 17, 80], 'representative': 3634, 'size': 242}
  • id: 109147978
    {'aut_label': '44A', 'centralizer': '40.b1.a1', 'counter': 81, 'group_counter': 8, 'group_order': 19360, 'label': '44A', 'order': 44, 'powers': [59, 81, 7], 'representative': 440, 'size': 40}
  • id: 109147979
    {'aut_label': '44B', 'centralizer': '40.b1.a1', 'counter': 82, 'group_counter': 8, 'group_order': 19360, 'label': '44B', 'order': 44, 'powers': [60, 82, 7], 'representative': 520, 'size': 40}
  • id: 109147980
    {'aut_label': '44C1', 'centralizer': '40.b1.a1', 'counter': 83, 'group_counter': 8, 'group_order': 19360, 'label': '44C1', 'order': 44, 'powers': [61, 83, 7], 'representative': 480, 'size': 40}
  • id: 109147981
    {'aut_label': '44C1', 'centralizer': '40.b1.a1', 'counter': 84, 'group_counter': 8, 'group_order': 19360, 'label': '44C-1', 'order': 44, 'powers': [61, 84, 7], 'representative': 560, 'size': 40}
  • id: 109147982
    {'aut_label': '44D1', 'centralizer': '40.b1.a1', 'counter': 85, 'group_counter': 8, 'group_order': 19360, 'label': '44D1', 'order': 44, 'powers': [62, 85, 7], 'representative': 640, 'size': 40}
  • id: 109147983
    {'aut_label': '44D1', 'centralizer': '40.b1.a1', 'counter': 86, 'group_counter': 8, 'group_order': 19360, 'label': '44D-1', 'order': 44, 'powers': [62, 86, 7], 'representative': 720, 'size': 40}
  • id: 109147984
    {'aut_label': '44E', 'centralizer': '440.k1.a1', 'counter': 87, 'group_counter': 8, 'group_order': 19360, 'label': '44E', 'order': 44, 'powers': [60, 87, 8], 'representative': 19335, 'size': 440}
  • id: 109147985
    {'aut_label': '44E', 'centralizer': '440.k1.b1', 'counter': 88, 'group_counter': 8, 'group_order': 19360, 'label': '44F', 'order': 44, 'powers': [60, 88, 9], 'representative': 18535, 'size': 440}
• gps_qchar •

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

  
  
  • id: 4160533
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4160544
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 4160555
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4160566
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 4160568
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1], 'schur_index': 1}
  • id: 4160569
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 4160570
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1], 'schur_index': 1}
  • id: 4160571
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 4160541
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 0, 0, -2, -2, 2, 0, 0, -2, 2, 2, 2, 2, 0, 0, 0, 0, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], 'schur_index': 1}
  • id: 4160542
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 0, 0, 2, 2, -2, 0, 0, -2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 0, 0], 'schur_index': 1}
  • id: 4160572
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1i', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4], 'schur_index': 1}
  • id: 4160534
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1j', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 4, 4, -4, -4, 4, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, -4, -4], 'schur_index': 1}
  • id: 4160535
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1k', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -4, -4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4], 'schur_index': 1}
  • id: 4160536
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1l', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, -4, -4, -4, 4, 4, -1, -1, -1, -1, -4, 4, -4, 4, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 4, 4, 4, 4, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 4, 4, 4, 4, -4, 4, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -4, -4, -4, -4, -4, -4, -4, 4], 'schur_index': 1}
  • id: 4160537
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1m', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, -4, -4, 4, -4, 4, -1, -1, -1, -1, 4, -4, 4, -4, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 4, 4, 4, 4, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 4, 4, 4, 4, -4, 4, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -4, -4, -4, -4, -4, -4, 4, -4], 'schur_index': 1}
  • id: 4160538
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1n', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, -4, -4, -4, -4, -4, 4, 4, -1, -1, -1, -1, 4, -4, 4, -4, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 4, 4, 4, 4, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 4, 4, 4, 4, 4, -4, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -4, -4, -4, -4, -4, -4, -4, 4], 'schur_index': 1}
  • id: 4160539
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1o', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, -4, -4, -4, -4, 4, -4, 4, -1, -1, -1, -1, -4, 4, -4, 4, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 4, 4, 4, 4, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 4, 4, 4, 4, 4, -4, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -4, -4, -4, -4, -4, -4, 4, -4], 'schur_index': 1}
  • id: 4160540
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.1p', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, -4, -4, 4, -1, -1, -1, -1, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, -4, -4], 'schur_index': 1}
  • id: 4160543
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.2c', 'multiplicity': 2, 'nt': [8, 8], 'qdim': 4, 'qvalues': [4, -4, 0, 0, -4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, -4, 4, 4, -4, -4, -4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4160545
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.2d', 'multiplicity': 2, 'nt': [8, 8], 'qdim': 4, 'qvalues': [4, -4, 0, 0, 4, -4, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, -4, -4, -4, -4, 4, 4, -4, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4160546
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.2e', 'multiplicity': 4, 'nt': [20, 12], 'qdim': 8, 'qvalues': [8, 8, 0, 0, -8, -8, 8, 0, 0, -8, -2, -2, -2, -2, 0, 0, 0, 0, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 2, 2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0], 'schur_index': 1}
  • id: 4160547
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.2f', 'multiplicity': 4, 'nt': [20, 12], 'qdim': 8, 'qvalues': [8, 8, 0, 0, 8, 8, -8, 0, 0, -8, -2, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, 0, 0], 'schur_index': 1}
  • id: 4160548
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.2g', 'multiplicity': 8, 'nt': [40, 51], 'qdim': 16, 'qvalues': [16, -16, 0, 0, -16, 16, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 4, -4, -4, 4, 4, 4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4160549
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.2h', 'multiplicity': 8, 'nt': [40, 51], 'qdim': 16, 'qvalues': [16, -16, 0, 0, 16, -16, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, 4, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4160550
    {'cdim': 20, 'counter': 25, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.20a', 'multiplicity': 1, 'nt': [22, 20], 'qdim': 20, 'qvalues': [20, 20, 0, 0, 0, 0, 20, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 9, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 9, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 9, -2, -2, -2, -1, -1], 'schur_index': 1}
  • id: 4160551
    {'cdim': 20, 'counter': 26, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.20b', 'multiplicity': 1, 'nt': [22, 20], 'qdim': 20, 'qvalues': [20, 20, 10, 10, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, -2, -2, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, -2, -2, -2, -2, -2, 0, 0], 'schur_index': 1}
  • id: 4160552
    {'cdim': 20, 'counter': 27, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.20c', 'multiplicity': 1, 'nt': [44, 85], 'qdim': 20, 'qvalues': [20, 20, -10, -10, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, -2, -2, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, -2, -2, -2, -2, -2, 0, 0], 'schur_index': 1}
  • id: 4160553
    {'cdim': 20, 'counter': 28, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.20d', 'multiplicity': 1, 'nt': [44, 85], 'qdim': 20, 'qvalues': [20, 20, 0, 0, 0, 0, 20, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 9, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 9, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 9, -2, -2, -2, 1, 1], 'schur_index': 1}
  • id: 4160554
    {'cdim': 20, 'counter': 29, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.20e', 'multiplicity': 1, 'nt': [44, 106], 'qdim': 20, 'qvalues': [20, 20, -10, 10, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, -2, -2, -2, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 2, 2, 2, 2, 2, 0, 0], 'schur_index': 1}
  • id: 4160556
    {'cdim': 20, 'counter': 30, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.20f', 'multiplicity': 1, 'nt': [44, 106], 'qdim': 20, 'qvalues': [20, 20, 0, 0, 0, 0, -20, -10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 9, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 9, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -9, 2, 2, 2, 1, -1], 'schur_index': 1}
  • id: 4160557
    {'cdim': 20, 'counter': 31, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.20g', 'multiplicity': 1, 'nt': [44, 106], 'qdim': 20, 'qvalues': [20, 20, 0, 0, 0, 0, -20, 10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 9, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 9, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -9, 2, 2, 2, -1, 1], 'schur_index': 1}
  • id: 4160558
    {'cdim': 20, 'counter': 32, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.20h', 'multiplicity': 1, 'nt': [44, 106], 'qdim': 20, 'qvalues': [20, 20, 10, -10, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, -2, -2, -2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 2, 2, 2, 2, 2, 0, 0], 'schur_index': 1}
  • id: 4160559
    {'cdim': 40, 'counter': 33, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.40a', 'multiplicity': 1, 'nt': [44, 89], 'qdim': 40, 'qvalues': [40, 40, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 7, 7, -4, 0, 0], 'schur_index': 1}
  • id: 4160560
    {'cdim': 40, 'counter': 34, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.40b', 'multiplicity': 1, 'nt': [44, 89], 'qdim': 40, 'qvalues': [40, 40, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 7, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 7, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 7, -4, -4, -4, 7, 0, 0], 'schur_index': 1}
  • id: 4160561
    {'cdim': 40, 'counter': 35, 'faithful': True, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.40c', 'multiplicity': 1, 'nt': [88, 0], 'qdim': 40, 'qvalues': [40, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4160562
    {'cdim': 40, 'counter': 36, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.40d', 'multiplicity': 1, 'nt': [88, 0], 'qdim': 40, 'qvalues': [40, 40, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -7, -7, 4, 0, 0], 'schur_index': 1}
  • id: 4160563
    {'cdim': 40, 'counter': 37, 'faithful': False, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.40e', 'multiplicity': 1, 'nt': [88, 0], 'qdim': 40, 'qvalues': [40, 40, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 7, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 7, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -7, 4, 4, 4, -7, 0, 0], 'schur_index': 1}
  • id: 4160564
    {'cdim': 40, 'counter': 38, 'faithful': True, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.40f', 'multiplicity': 1, 'nt': [176, 0], 'qdim': 40, 'qvalues': [40, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 18, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -18, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 4160565
    {'cdim': 40, 'counter': 39, 'faithful': True, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.40g', 'multiplicity': 2, 'nt': [176, 0], 'qdim': 80, 'qvalues': [80, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4160567
    {'cdim': 40, 'counter': 40, 'faithful': True, 'group': '19360.h', 'group_order': 19360, 'image': None, 'label': '19360.h.40h', 'multiplicity': 2, 'nt': [176, 0], 'qdim': 80, 'qvalues': [80, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 14, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -14, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 6055596
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 19360, 'label': '19360.h.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6055607
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 9680, 'label': '19360.h.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6055618
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 9680, 'label': '19360.h.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6055629
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.d1', 'kernel_order': 9680, 'label': '19360.h.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6055640
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.c1', 'kernel_order': 9680, 'label': '19360.h.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 6055651
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.b1', 'kernel_order': 9680, 'label': '19360.h.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6055662
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 9680, 'label': '19360.h.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 6055673
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 9680, 'label': '19360.h.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6055683
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 9, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 3872, 'label': '19360.h.1i1', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6055597
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 10, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 3872, 'label': '19360.h.1i2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6055598
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 11, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 3872, 'label': '19360.h.1i3', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6055599
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 12, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 3872, 'label': '19360.h.1i4', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6055600
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 13, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1.a1', 'kernel_order': 1936, 'label': '19360.h.1j1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6055601
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 14, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1.a1', 'kernel_order': 1936, 'label': '19360.h.1j2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6055602
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 15, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1.a1', 'kernel_order': 1936, 'label': '19360.h.1j3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6055603
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 16, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.d1.a1', 'kernel_order': 1936, 'label': '19360.h.1j4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6055604
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 17, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1.a1', 'kernel_order': 1936, 'label': '19360.h.1k1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6055605
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 18, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1.a1', 'kernel_order': 1936, 'label': '19360.h.1k2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6055606
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 19, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1.a1', 'kernel_order': 1936, 'label': '19360.h.1k3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6055608
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 20, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.c1.a1', 'kernel_order': 1936, 'label': '19360.h.1k4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6055609
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 21, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.d1', 'kernel_order': 1936, 'label': '19360.h.1l1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6055610
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 22, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.d1', 'kernel_order': 1936, 'label': '19360.h.1l2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6055611
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 23, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.d1', 'kernel_order': 1936, 'label': '19360.h.1l3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6055612
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 24, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.d1', 'kernel_order': 1936, 'label': '19360.h.1l4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6055613
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 25, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.c1', 'kernel_order': 1936, 'label': '19360.h.1m1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 6055614
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 26, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.c1', 'kernel_order': 1936, 'label': '19360.h.1m2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 6055615
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 27, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.c1', 'kernel_order': 1936, 'label': '19360.h.1m3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 6055616
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 28, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.c1', 'kernel_order': 1936, 'label': '19360.h.1m4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 6055617
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 29, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.b1', 'kernel_order': 1936, 'label': '19360.h.1n1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6055619
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 30, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.b1', 'kernel_order': 1936, 'label': '19360.h.1n2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6055620
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 31, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.b1', 'kernel_order': 1936, 'label': '19360.h.1n3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6055621
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 32, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.b1', 'kernel_order': 1936, 'label': '19360.h.1n4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, 2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6055622
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 33, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 1936, 'label': '19360.h.1o1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 6055623
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 34, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 1936, 'label': '19360.h.1o2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 6055624
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 35, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 1936, 'label': '19360.h.1o3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, 2]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 6055625
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 36, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 1936, 'label': '19360.h.1o4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, -2]], [[-1, 1]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 6055626
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 37, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 1936, 'label': '19360.h.1p1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6055627
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 38, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 1936, 'label': '19360.h.1p2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6055628
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 39, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 1936, 'label': '19360.h.1p3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6055630
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 19360, 'counter': 40, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 1936, 'label': '19360.h.1p4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6055631
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 4840, 'counter': 41, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1.a1', 'kernel_order': 2420, 'label': '19360.h.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055632
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 4840, 'counter': 42, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1.a1', 'kernel_order': 2420, 'label': '19360.h.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055633
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 2420, 'counter': 43, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [2, 0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '16.8', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.b1', 'kernel_order': 1210, 'label': '19360.h.2c1', 'nt': [8, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055634
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 2420, 'counter': 44, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [2, 0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '16.8', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.b1', 'kernel_order': 1210, 'label': '19360.h.2c2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055635
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 2420, 'counter': 45, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [2, 0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '16.8', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 1210, 'label': '19360.h.2d1', 'nt': [8, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055636
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 2420, 'counter': 46, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [2, 0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '16.8', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 1210, 'label': '19360.h.2d2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055637
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 4840, 'counter': 47, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.a1', 'kernel_order': 484, 'label': '19360.h.2e1', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, -2]], [[-2, -1]], [[2, -1]], [[-2, 1]], [[-2, 2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[2, -2]], [[2, 2]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, -2]], [[-2, 1]], [[2, 2]], [[2, -2]], [[-2, -1]], [[2, -1]], [[-2, 2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055638
    {'center': '4.b1.a1', 'center_index': 4, 'center_order': 4840, 'counter': 48, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.a1', 'kernel_order': 484, 'label': '19360.h.2e2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[-2, 2]], [[-2, 1]], [[2, 1]], [[-2, -1]], [[-2, -2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[2, 2]], [[2, -2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 2]], [[-2, -1]], [[2, -2]], [[2, 2]], [[-2, 1]], [[2, 1]], [[-2, -2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055639
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  • id: 6055641
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  • id: 6055642
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  • id: 6055644
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  • id: 6055645
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  • id: 6055646
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  • id: 6055647
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  • id: 6055648
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  • id: 6055649
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  • id: 6055650
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  • id: 6055652
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  • id: 6055653
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  • id: 6055654
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  • id: 6055655
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  • id: 6055656
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  • id: 6055657
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  • id: 6055658
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  • id: 6055659
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 2420, 'counter': 67, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '80.26', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1.a1', 'kernel_order': 242, 'label': '19360.h.2h5', 'nt': [40, 51], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 16]], [[-2, 4]], [[2, 8]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[2, 4]], [[2, 12]], [[-2, 16]], [[-2, 16]], [[-2, 4]], [[2, 8]], [[2, 4]], [[-2, 8]], [[2, 16]], [[2, 12]], [[-2, 8]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055660
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 2420, 'counter': 68, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '80.26', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1.a1', 'kernel_order': 242, 'label': '19360.h.2h6', 'nt': [40, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[-2, 16]], [[-2, 8]], [[2, 4]], [[2, 4]], [[2, 16]], [[-2, 12]], [[-2, 16]], [[2, 12]], [[-2, 4]], [[-2, 8]], [[2, 12]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 3], [1, 13]], [[1, 1], [1, 11]], [[1, 3], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 3], [1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 3], [-1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055661
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 2420, 'counter': 69, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '80.26', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1.a1', 'kernel_order': 242, 'label': '19360.h.2h7', 'nt': [40, 51], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 16]], [[-2, 4]], [[2, 8]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[2, 4]], [[2, 12]], [[-2, 16]], [[-2, 16]], [[-2, 4]], [[2, 8]], [[2, 4]], [[-2, 8]], [[2, 16]], [[2, 12]], [[-2, 8]], [[-2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055663
    {'center': '8.a1.a1', 'center_index': 8, 'center_order': 2420, 'counter': 70, 'cyclotomic_n': 40, 'dim': 2, 'faithful': False, 'field': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '80.26', 'image_order': 80, 'indicator': 0, 'kernel': '80.b1.a1', 'kernel_order': 242, 'label': '19360.h.2h8', 'nt': [40, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 16]], [[-2, 12]], [[-1, 5], [-1, 15]], [[1, 5], [1, 15]], [[1, 5], [1, 15]], [[-1, 5], [-1, 15]], [[-2, 16]], [[-2, 8]], [[2, 4]], [[2, 4]], [[2, 16]], [[-2, 12]], [[-2, 16]], [[2, 12]], [[-2, 4]], [[-2, 8]], [[2, 12]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[1, 3], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 13]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[1, 3], [-1, 13]], [[-1, 1], [1, 5], [-1, 7], [-1, 9], [1, 13]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 5], [1, 7], [1, 9], [-1, 13]], [[-1, 3], [1, 13]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[1, 3], [-1, 7], [-1, 9], [1, 11], [-1, 15]], [[-1, 3], [1, 7], [1, 9], [-1, 11], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055664
    {'center': '4840.a1.a1', 'center_index': 4840, 'center_order': 4, 'counter': 71, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '4840.bt', 'image_order': 4840, 'indicator': 1, 'kernel': '4840.a1.a1', 'kernel_order': 4, 'label': '19360.h.20a', 'nt': [22, 20], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[20, 0]], [[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6055665
    {'center': '4840.a1.a1', 'center_index': 4840, 'center_order': 4, 'counter': 72, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '4840.bt', 'image_order': 4840, 'indicator': 1, 'kernel': '4840.a1.a1', 'kernel_order': 4, 'label': '19360.h.20b', 'nt': [22, 20], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[20, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055666
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  • id: 6055667
    {'center': '4840.a1.a1', 'center_index': 4840, 'center_order': 4, 'counter': 74, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '4840.bt', 'image_order': 4840, 'indicator': 1, 'kernel': '4840.a1.a1', 'kernel_order': 4, 'label': '19360.h.20d', 'nt': [44, 85], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[20, 0]], [[-10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6055668
    {'center': '4840.a1.a1', 'center_index': 4840, 'center_order': 4, 'counter': 75, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '9680.ba', 'image_order': 9680, 'indicator': 1, 'kernel': '9680.a1.a1', 'kernel_order': 2, 'label': '19360.h.20e', 'nt': [44, 106], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[-10, 0]], [[10, 0]], [[0, 0]], [[0, 0]], [[-20, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055669
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  • id: 6055670
    {'center': '4840.a1.a1', 'center_index': 4840, 'center_order': 4, 'counter': 77, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '9680.ba', 'image_order': 9680, 'indicator': 1, 'kernel': '9680.a1.a1', 'kernel_order': 2, 'label': '19360.h.20g', 'nt': [44, 106], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-20, 0]], [[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-9, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6055671
    {'center': '4840.a1.a1', 'center_index': 4840, 'center_order': 4, 'counter': 78, 'cyclotomic_n': 1, 'dim': 20, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '9680.ba', 'image_order': 9680, 'indicator': 1, 'kernel': '9680.a1.a1', 'kernel_order': 2, 'label': '19360.h.20h', 'nt': [44, 106], 'q_character': None, 'values': [[[20, 0]], [[20, 0]], [[10, 0]], [[-10, 0]], [[0, 0]], [[0, 0]], [[-20, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055672
    {'center': '4840.a1.a1', 'center_index': 4840, 'center_order': 4, 'counter': 79, 'cyclotomic_n': 1, 'dim': 40, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '4840.bt', 'image_order': 4840, 'indicator': 1, 'kernel': '4840.a1.a1', 'kernel_order': 4, 'label': '19360.h.40a', 'nt': [44, 89], 'q_character': None, 'values': [[[40, 0]], [[40, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[40, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[7, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[7, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[7, 0]], [[7, 0]], [[-4, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055674
    {'center': '4840.a1.a1', 'center_index': 4840, 'center_order': 4, 'counter': 80, 'cyclotomic_n': 1, 'dim': 40, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '4840.bt', 'image_order': 4840, 'indicator': 1, 'kernel': '4840.a1.a1', 'kernel_order': 4, 'label': '19360.h.40b', 'nt': [44, 89], 'q_character': None, 'values': [[[40, 0]], [[40, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[40, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[7, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[7, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[7, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[7, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055675
    {'center': '9680.a1.a1', 'center_index': 9680, 'center_order': 2, 'counter': 81, 'cyclotomic_n': 1, 'dim': 40, 'faithful': True, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '19360.h', 'image_order': 19360, 'indicator': 1, 'kernel': '19360.a1.a1', 'kernel_order': 1, 'label': '19360.h.40c', 'nt': [88, 0], 'q_character': None, 'values': [[[40, 0]], [[-40, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[18, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-18, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055676
    {'center': '4840.a1.a1', 'center_index': 4840, 'center_order': 4, 'counter': 82, 'cyclotomic_n': 1, 'dim': 40, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '9680.ba', 'image_order': 9680, 'indicator': 1, 'kernel': '9680.a1.a1', 'kernel_order': 2, 'label': '19360.h.40d', 'nt': [88, 0], 'q_character': None, 'values': [[[40, 0]], [[40, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-40, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[7, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[7, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-7, 0]], [[-7, 0]], [[4, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055677
    {'center': '4840.a1.a1', 'center_index': 4840, 'center_order': 4, 'counter': 83, 'cyclotomic_n': 1, 'dim': 40, 'faithful': False, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '9680.ba', 'image_order': 9680, 'indicator': 1, 'kernel': '9680.a1.a1', 'kernel_order': 2, 'label': '19360.h.40e', 'nt': [88, 0], 'q_character': None, 'values': [[[40, 0]], [[40, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-40, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[7, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[7, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-7, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-7, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055678
    {'center': '9680.a1.a1', 'center_index': 9680, 'center_order': 2, 'counter': 84, 'cyclotomic_n': 1, 'dim': 40, 'faithful': True, 'field': [0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '19360.h', 'image_order': 19360, 'indicator': -1, 'kernel': '19360.a1.a1', 'kernel_order': 1, 'label': '19360.h.40f', 'nt': [176, 0], 'q_character': None, 'values': [[[40, 0]], [[-40, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[18, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-18, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055679
    {'center': '9680.a1.a1', 'center_index': 9680, 'center_order': 2, 'counter': 85, 'cyclotomic_n': 4, 'dim': 40, 'faithful': True, 'field': [1, 0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '19360.h', 'image_order': 19360, 'indicator': 0, 'kernel': '19360.a1.a1', 'kernel_order': 1, 'label': '19360.h.40g1', 'nt': [176, 0], 'q_character': None, 'values': [[[40, 0]], [[-40, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[7, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-7, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 1]], [[11, 1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055680
    {'center': '9680.a1.a1', 'center_index': 9680, 'center_order': 2, 'counter': 86, 'cyclotomic_n': 4, 'dim': 40, 'faithful': True, 'field': [1, 0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '19360.h', 'image_order': 19360, 'indicator': 0, 'kernel': '19360.a1.a1', 'kernel_order': 1, 'label': '19360.h.40g2', 'nt': [176, 2], 'q_character': None, 'values': [[[40, 0]], [[-40, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[7, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-7, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 1]], [[-11, 1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6055681
    {'center': '9680.a1.a1', 'center_index': 9680, 'center_order': 2, 'counter': 87, 'cyclotomic_n': 4, 'dim': 40, 'faithful': True, 'field': [1, 0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '19360.h', 'image_order': 19360, 'indicator': 0, 'kernel': '19360.a1.a1', 'kernel_order': 1, 'label': '19360.h.40h1', 'nt': [176, 0], 'q_character': None, 'values': [[[40, 0]], [[-40, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[7, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-7, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 1]], [[0, 0]], [[0, 0]]]}
  • id: 6055682
    {'center': '9680.a1.a1', 'center_index': 9680, 'center_order': 2, 'counter': 88, 'cyclotomic_n': 4, 'dim': 40, 'faithful': True, 'field': [1, 0, 1], 'group': '19360.h', 'group_counter': 8, 'group_order': 19360, 'image': None, 'image_isoclass': '19360.h', 'image_order': 19360, 'indicator': 0, 'kernel': '19360.a1.a1', 'kernel_order': 1, 'label': '19360.h.40h2', 'nt': [176, 2], 'q_character': None, 'values': [[[40, 0]], [[-40, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[7, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-7, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[11, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-11, 1]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 63577773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 19360, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 110, 'label': '19360.h.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0', 'R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '19360.h', 'subgroup_hash': 6161013968996120931, 'subgroup_order': 19360, 'subgroup_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 63577884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 9680, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9680.n', 'subgroup_hash': 9186244208613404222, 'subgroup_order': 9680, 'subgroup_tex': 'C_{11}^2:(C_5\\times \\SD_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 63577956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 9680, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.2.a1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9680.n', 'subgroup_hash': 9186244208613404222, 'subgroup_order': 9680, 'subgroup_tex': 'C_{11}^2:(C_5\\times \\SD_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 63577967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 9680, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.2.a1.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9680.n', 'subgroup_hash': 9186244208613404222, 'subgroup_order': 9680, 'subgroup_tex': 'C_{11}^2:(C_5\\times \\SD_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 63577978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 9680, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.2.a1.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9680.n', 'subgroup_hash': 9186244208613404222, 'subgroup_order': 9680, 'subgroup_tex': 'C_{11}^2:(C_5\\times \\SD_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 63577989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 9680, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9680.o', 'subgroup_hash': 2956621335927897650, 'subgroup_order': 9680, 'subgroup_tex': 'D_{44}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 9680, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9680.p', 'subgroup_hash': 832043041650605458, 'subgroup_order': 9680, 'subgroup_tex': 'C_{11}:(Q_8\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 63578011
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 9680, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9680.h', 'subgroup_hash': 9132720671576808597, 'subgroup_order': 9680, 'subgroup_tex': 'C_{11}^2:(C_2\\times C_{40})', 'supersolvable': False, 'sylow': 0}
  • id: 63578022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4840, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4840.ba', 'subgroup_hash': 6912300025842424081, 'subgroup_order': 4840, 'subgroup_tex': 'D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4840, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.4.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4840.ba', 'subgroup_hash': 6912300025842424081, 'subgroup_order': 4840, 'subgroup_tex': 'D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577785
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 4840, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4840.l', 'subgroup_hash': 7953500563289584397, 'subgroup_order': 4840, 'subgroup_tex': 'C_{44}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4840, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4840.bc', 'subgroup_hash': 1918944852362613583, 'subgroup_order': 4840, 'subgroup_tex': 'C_{11}^2:(C_5\\times Q_8)', 'supersolvable': True, 'sylow': 0}
  • id: 63577807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4840, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.4.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4840.bc', 'subgroup_hash': 1918944852362613583, 'subgroup_order': 4840, 'subgroup_tex': 'C_{11}^2:(C_5\\times Q_8)', 'supersolvable': True, 'sylow': 0}
  • id: 63577818
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4840, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4840.b', 'subgroup_hash': 7987440601890583139, 'subgroup_order': 4840, 'subgroup_tex': 'C_{11}^2:C_{40}', 'supersolvable': False, 'sylow': 0}
  • id: 63577829
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4840, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.4.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4840.b', 'subgroup_hash': 7987440601890583139, 'subgroup_order': 4840, 'subgroup_tex': 'C_{11}^2:C_{40}', 'supersolvable': False, 'sylow': 0}
  • id: 63577840
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2420, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, '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': '4840.y', 'subgroup_hash': 4409101876861599779, 'subgroup_order': 4840, 'subgroup_tex': 'D_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2420, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, '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': '4840.z', 'subgroup_hash': 9123257742695731815, 'subgroup_order': 4840, 'subgroup_tex': 'C_{44}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577862
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2420, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, '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': '4840.bb', 'subgroup_hash': 3459893620231323134, 'subgroup_order': 4840, 'subgroup_tex': 'C_{11}:(C_4\\times F_{11})', 'supersolvable': True, 'sylow': 0}
  • id: 63577873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2420, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.h1.a1', 'outer_equivalence': False, 'perfect': False, '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': '4840.bd', 'subgroup_hash': 5002246478290475993, 'subgroup_order': 4840, 'subgroup_tex': 'C_{44}.F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 3872, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 22, 'label': '19360.h.5.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3872.t', 'subgroup_hash': 2639106506994757361, 'subgroup_order': 3872, 'subgroup_tex': '(C_{11}\\times C_{44}).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 63577896
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2420, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2420.c', 'subgroup_hash': 6641519007809634494, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577907
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2420, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2420.h', 'subgroup_hash': 3966518846746054317, 'subgroup_order': 2420, 'subgroup_tex': 'C_{11}^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577918
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 2420, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2420.a', 'subgroup_hash': 3652193982810710969, 'subgroup_order': 2420, 'subgroup_tex': 'C_{11}^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577929
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1210, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.y', 'subgroup_hash': 549729644264252084, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577940
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1210, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.y', 'subgroup_hash': 549729644264252084, 'subgroup_order': 2420, 'subgroup_tex': 'C_{22}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577951
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1210, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.ba', 'subgroup_hash': 8862161259596205970, 'subgroup_order': 2420, 'subgroup_tex': 'C_{11}^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577953
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1210, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.8.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.ba', 'subgroup_hash': 8862161259596205970, 'subgroup_order': 2420, 'subgroup_tex': 'C_{11}^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577954
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1210, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.x', 'subgroup_hash': 3244222575460283753, 'subgroup_order': 2420, 'subgroup_tex': 'D_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577955
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1210, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.8.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2420.x', 'subgroup_hash': 3244222575460283753, 'subgroup_order': 2420, 'subgroup_tex': 'D_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1936, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '1936.107', 'subgroup_hash': 107, 'subgroup_order': 1936, 'subgroup_tex': 'C_{11}^2:\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 63577958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1936, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.10.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '1936.107', 'subgroup_hash': 107, 'subgroup_order': 1936, 'subgroup_tex': 'C_{11}^2:\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 63577959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1936, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.10.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '1936.107', 'subgroup_hash': 107, 'subgroup_order': 1936, 'subgroup_tex': 'C_{11}^2:\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 63577960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1936, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.10.a1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.a1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '1936.107', 'subgroup_hash': 107, 'subgroup_order': 1936, 'subgroup_tex': 'C_{11}^2:\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 63577961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 1936, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.10.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '1936.125', 'subgroup_hash': 125, 'subgroup_order': 1936, 'subgroup_tex': 'C_{44}:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 1936, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.10.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '1936.120', 'subgroup_hash': 120, 'subgroup_order': 1936, 'subgroup_tex': 'C_{44}.D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577963
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1936, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.10.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '1936.110', 'subgroup_hash': 110, 'subgroup_order': 1936, 'subgroup_tex': 'C_{11}^2:(C_2\\times C_8)', 'supersolvable': False, 'sylow': 0}
  • id: 63577964
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1210, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1210.19', 'subgroup_hash': 19, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}^2:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577965
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1210, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1210.9', 'subgroup_hash': 9, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577966
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1210, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.16.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1210.9', 'subgroup_hash': 9, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577968
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 605, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.12', 'subgroup_hash': 12, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577969
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 605, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.16.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1210.12', 'subgroup_hash': 12, 'subgroup_order': 1210, 'subgroup_tex': 'C_{11}:F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 968, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.20.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '968.19', 'subgroup_hash': 19, 'subgroup_order': 968, 'subgroup_tex': 'D_{22}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 968, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.20.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '968.19', 'subgroup_hash': 19, 'subgroup_order': 968, 'subgroup_tex': 'D_{22}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577972
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 968, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.20.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '968.28', 'subgroup_hash': 28, 'subgroup_order': 968, 'subgroup_tex': 'C_{44}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 968, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.20.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '968.21', 'subgroup_hash': 21, 'subgroup_order': 968, 'subgroup_tex': 'C_{11}^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 968, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.20.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '968.21', 'subgroup_hash': 21, 'subgroup_order': 968, 'subgroup_tex': 'C_{11}^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577975
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 968, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.20.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '968.16', 'subgroup_hash': 16, 'subgroup_order': 968, 'subgroup_tex': 'C_{11}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 63577976
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 968, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.20.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '968.16', 'subgroup_hash': 16, 'subgroup_order': 968, 'subgroup_tex': 'C_{11}^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 63577977
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 484, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.20.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.e1.a1', 'outer_equivalence': False, 'perfect': False, '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': '968.39', 'subgroup_hash': 39, 'subgroup_order': 968, 'subgroup_tex': 'D_{11}\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 484, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.20.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.f1.a1', 'outer_equivalence': False, 'perfect': False, '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': '968.24', 'subgroup_hash': 24, 'subgroup_order': 968, 'subgroup_tex': 'C_{11}\\times D_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 63577980
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 484, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.20.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.g1.a1', 'outer_equivalence': False, 'perfect': False, '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': '968.18', 'subgroup_hash': 18, 'subgroup_order': 968, 'subgroup_tex': 'C_{22}.D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 484, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.20.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.h1.a1', 'outer_equivalence': False, 'perfect': False, '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': '968.22', 'subgroup_hash': 22, 'subgroup_order': 968, 'subgroup_tex': 'C_{11}^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.22.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.a1.a1', 'outer_equivalence': False, 'perfect': False, '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': '880.118', 'subgroup_hash': 118, 'subgroup_order': 880, 'subgroup_tex': 'D_4\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.22.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22.b1.a1', 'outer_equivalence': False, 'perfect': False, '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': '880.120', 'subgroup_hash': 120, 'subgroup_order': 880, 'subgroup_tex': 'Q_8\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577984
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 605, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 55, 'label': '19360.h.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.40', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '605.4', 'subgroup_hash': 4, 'subgroup_order': 605, 'subgroup_tex': 'C_{11}^2:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 63577985
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 484, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '484.11', 'subgroup_hash': 11, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}:D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577986
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 484, 'characteristic': True, 'core_order': 484, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.40.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, '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': ['F', 'F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '484.7', 'subgroup_hash': 7, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}\\times C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 63577987
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 484, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.40.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, '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': ['D', 'L1', 'D1', 'C4', 'D', 'L1', 'D1', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '484.6', 'subgroup_hash': 6, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577988
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 242, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.40.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.d1.a1', 'outer_equivalence': False, 'perfect': False, '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': '484.10', 'subgroup_hash': 10, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577990
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 242, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.40.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.d1.b1', 'outer_equivalence': False, 'perfect': False, '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': '484.10', 'subgroup_hash': 10, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577991
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 242, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.40.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.e1.a1', 'outer_equivalence': False, 'perfect': False, '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': '484.5', 'subgroup_hash': 5, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}:C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 63577992
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 242, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.40.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.e1.b1', 'outer_equivalence': False, 'perfect': False, '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': '484.5', 'subgroup_hash': 5, 'subgroup_order': 484, 'subgroup_tex': 'C_{11}:C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 63577993
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 242, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.40.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.f1.a1', 'outer_equivalence': False, 'perfect': False, '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': '484.9', 'subgroup_hash': 9, 'subgroup_order': 484, 'subgroup_tex': 'D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 63577994
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 242, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.40.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.f1.b1', 'outer_equivalence': False, 'perfect': False, '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': '484.9', 'subgroup_hash': 9, 'subgroup_order': 484, 'subgroup_tex': 'D_{11}^2', 'supersolvable': True, 'sylow': 0}
  • id: 63577995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.a1.a1', 'outer_equivalence': False, 'perfect': False, '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': '440.13', 'subgroup_hash': 13, 'subgroup_order': 440, 'subgroup_tex': 'C_{44}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577996
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.b1.a1', 'outer_equivalence': False, 'perfect': False, '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': '440.42', 'subgroup_hash': 42, 'subgroup_order': 440, 'subgroup_tex': 'C_2^2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577997
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.b1.b1', 'outer_equivalence': False, 'perfect': False, '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': '440.42', 'subgroup_hash': 42, 'subgroup_order': 440, 'subgroup_tex': 'C_2^2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.c1.a1', 'outer_equivalence': False, 'perfect': False, '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': '440.11', 'subgroup_hash': 11, 'subgroup_order': 440, 'subgroup_tex': 'D_{22}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.c1.b1', 'outer_equivalence': False, 'perfect': False, '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': '440.11', 'subgroup_hash': 11, 'subgroup_order': 440, 'subgroup_tex': 'D_{22}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63578001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.d1.a1', 'outer_equivalence': False, 'perfect': False, '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': '440.9', 'subgroup_hash': 9, 'subgroup_order': 440, 'subgroup_tex': 'C_{44}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63578002
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.e1.a1', 'outer_equivalence': False, 'perfect': False, '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': '440.8', 'subgroup_hash': 8, 'subgroup_order': 440, 'subgroup_tex': 'C_4\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578003
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.f1.a1', 'outer_equivalence': False, 'perfect': False, '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': '440.8', 'subgroup_hash': 8, 'subgroup_order': 440, 'subgroup_tex': 'C_4\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578004
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.g1.a1', 'outer_equivalence': False, 'perfect': False, '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': '440.8', 'subgroup_hash': 8, 'subgroup_order': 440, 'subgroup_tex': 'C_4\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578005
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.h1.a1', 'outer_equivalence': False, 'perfect': False, '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': '440.8', 'subgroup_hash': 8, 'subgroup_order': 440, 'subgroup_tex': 'C_4\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578006
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.i1.a1', 'outer_equivalence': False, 'perfect': False, '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': '440.8', 'subgroup_hash': 8, 'subgroup_order': 440, 'subgroup_tex': 'C_4\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578007
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.i1.b1', 'outer_equivalence': False, 'perfect': False, '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': '440.8', 'subgroup_hash': 8, 'subgroup_order': 440, 'subgroup_tex': 'C_4\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.j1.a1', 'outer_equivalence': False, 'perfect': False, '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': '440.14', 'subgroup_hash': 14, 'subgroup_order': 440, 'subgroup_tex': 'C_{44}.C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63578009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.k1.a1', 'outer_equivalence': False, 'perfect': False, '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': '440.7', 'subgroup_hash': 7, 'subgroup_order': 440, 'subgroup_tex': 'C_{44}.C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63578010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.l1.a1', 'outer_equivalence': False, 'perfect': False, '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': '440.7', 'subgroup_hash': 7, 'subgroup_order': 440, 'subgroup_tex': 'C_{44}.C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63578012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.44.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44.l1.b1', 'outer_equivalence': False, 'perfect': False, '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': '440.7', 'subgroup_hash': 7, 'subgroup_order': 440, 'subgroup_tex': 'C_{44}.C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63578013
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 484, 'characteristic': True, 'core_order': 242, 'counter': 81, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.80.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, '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': ['S', 'L2', 'C5', 'S', 'L2', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '242.5', 'subgroup_hash': 5, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63578014
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 242, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.80.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '80.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.26', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': 4, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578015
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 242, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '19360.h.80.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '80.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.26', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '242.4', 'subgroup_hash': 4, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}:D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578016
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 121, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.80.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.3', 'subgroup_hash': 3, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578017
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 121, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.80.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '242.3', 'subgroup_hash': 3, 'subgroup_order': 242, 'subgroup_tex': 'C_{11}\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578018
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.a1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.8', 'subgroup_hash': 8, 'subgroup_order': 220, 'subgroup_tex': 'C_{22}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63578019
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.a1.b1', 'outer_equivalence': False, 'perfect': False, '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': '220.8', 'subgroup_hash': 8, 'subgroup_order': 220, 'subgroup_tex': 'C_{22}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63578020
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.b1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.7', 'subgroup_hash': 7, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578021
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.b1.b1', 'outer_equivalence': False, 'perfect': False, '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': '220.7', 'subgroup_hash': 7, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578023
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.c1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.7', 'subgroup_hash': 7, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578024
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.d1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.7', 'subgroup_hash': 7, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578025
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.e1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.7', 'subgroup_hash': 7, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578026
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.f1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.7', 'subgroup_hash': 7, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63578027
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.g1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.2', 'subgroup_hash': 2, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63578028
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.h1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.2', 'subgroup_hash': 2, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63578029
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.i1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.2', 'subgroup_hash': 2, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63578030
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.j1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.2', 'subgroup_hash': 2, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63578031
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.k1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.2', 'subgroup_hash': 2, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63578032
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.k1.b1', 'outer_equivalence': False, 'perfect': False, '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': '220.2', 'subgroup_hash': 2, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577775
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.l1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.1', 'subgroup_hash': 1, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577776
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.l1.b1', 'outer_equivalence': False, 'perfect': False, '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': '220.1', 'subgroup_hash': 1, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577777
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.m1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.1', 'subgroup_hash': 1, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577778
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.n1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.1', 'subgroup_hash': 1, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577779
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.o1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.1', 'subgroup_hash': 1, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577780
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.p1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.1', 'subgroup_hash': 1, 'subgroup_order': 220, 'subgroup_tex': 'C_{11}:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577781
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.q1.a1', 'outer_equivalence': False, 'perfect': False, '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': '220.7', 'subgroup_hash': 7, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577782
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.q1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.q1.b1', 'outer_equivalence': False, 'perfect': False, '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': '220.7', 'subgroup_hash': 7, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577783
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.q1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.q1.c1', 'outer_equivalence': False, 'perfect': False, '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': '220.7', 'subgroup_hash': 7, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577784
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.88.q1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88.q1.d1', 'outer_equivalence': False, 'perfect': False, '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': '220.7', 'subgroup_hash': 7, 'subgroup_order': 220, 'subgroup_tex': 'C_2\\times F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.110.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.a1.a1', 'outer_equivalence': False, 'perfect': False, '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': '176.31', 'subgroup_hash': 31, 'subgroup_order': 176, 'subgroup_tex': 'D_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 4, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.110.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110.b1.a1', 'outer_equivalence': False, 'perfect': False, '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': '176.33', 'subgroup_hash': 33, 'subgroup_order': 176, 'subgroup_tex': 'Q_8\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '19360.h.121.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '121.a1.a1', 'outer_equivalence': False, 'perfect': False, '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': '160.194', 'subgroup_hash': 194, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63577789
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 484, 'characteristic': True, 'core_order': 121, 'counter': 113, 'cyclic': False, 'direct': False, 'hall': 11, 'label': '19360.h.160.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '160.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '160.194', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 194, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'D2', 'C6', 'L3', 'D2', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '121.2', 'subgroup_hash': 2, 'subgroup_order': 121, 'subgroup_tex': 'C_{11}^2', 'supersolvable': True, 'sylow': 11}
  • id: 63577790
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.a1.a1', 'outer_equivalence': False, 'perfect': False, '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': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577791
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.b1.a1', 'outer_equivalence': False, 'perfect': False, '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': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577792
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.c1.a1', 'outer_equivalence': False, 'perfect': False, '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': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577793
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.d1.a1', 'outer_equivalence': False, 'perfect': False, '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': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577794
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.e1.a1', 'outer_equivalence': False, 'perfect': False, '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': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577795
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.e1.b1', 'outer_equivalence': False, 'perfect': False, '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': '110.2', 'subgroup_hash': 2, 'subgroup_order': 110, 'subgroup_tex': 'C_{11}:C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577797
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.f1.a1', 'outer_equivalence': False, 'perfect': False, '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': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577798
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.f1.b1', 'outer_equivalence': False, 'perfect': False, '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': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577799
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.g1.a1', 'outer_equivalence': False, 'perfect': False, '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': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577800
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.g1.b1', 'outer_equivalence': False, 'perfect': False, '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': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577801
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.h1.a1', 'outer_equivalence': False, 'perfect': False, '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': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577802
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.h1.b1', 'outer_equivalence': False, 'perfect': False, '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': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577803
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.i1.a1', 'outer_equivalence': False, 'perfect': False, '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': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577804
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.i1.b1', 'outer_equivalence': False, 'perfect': False, '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': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577805
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.j1.a1', 'outer_equivalence': False, 'perfect': False, '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': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577806
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.176.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '176.j1.b1', 'outer_equivalence': False, 'perfect': False, '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': '110.1', 'subgroup_hash': 1, 'subgroup_order': 110, 'subgroup_tex': 'F_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 4, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '220.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.9', 'subgroup_hash': 9, 'subgroup_order': 88, 'subgroup_tex': 'D_4\\times C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577809
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.11', 'subgroup_hash': 11, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577810
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.11', 'subgroup_hash': 11, 'subgroup_order': 88, 'subgroup_tex': 'C_2\\times D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.7', 'subgroup_hash': 7, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.7', 'subgroup_hash': 7, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 4, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.5', 'subgroup_hash': 5, 'subgroup_order': 88, 'subgroup_tex': 'D_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 63577814
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577815
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577816
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577817
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577819
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577820
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.4', 'subgroup_hash': 4, 'subgroup_order': 88, 'subgroup_tex': 'C_4\\times D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 4, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '220.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.10', 'subgroup_hash': 10, 'subgroup_order': 88, 'subgroup_tex': 'Q_8\\times C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 22, 'characteristic': False, 'core_order': 4, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 2, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.220.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '220.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 220, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '88.3', 'subgroup_hash': 3, 'subgroup_order': 88, 'subgroup_tex': 'C_{11}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.242.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '242.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.26', 'subgroup_hash': 26, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63577826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.242.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '242.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.26', 'subgroup_hash': 26, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63577827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.242.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '242.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.26', 'subgroup_hash': 26, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63577828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.242.a1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '242.a1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.26', 'subgroup_hash': 26, 'subgroup_order': 80, 'subgroup_tex': 'C_5\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63577830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.242.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '242.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.46', 'subgroup_hash': 46, 'subgroup_order': 80, 'subgroup_tex': 'D_4\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.242.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '242.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.47', 'subgroup_hash': 47, 'subgroup_order': 80, 'subgroup_tex': 'Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577832
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.242.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '242.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 242, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.23', 'subgroup_hash': 23, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 63577833
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.352.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '352.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 352, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 63577834
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.352.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '352.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 352, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 63577835
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.352.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '352.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 352, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 63577836
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.352.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '352.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 352, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55.1', 'subgroup_hash': 1, 'subgroup_order': 55, 'subgroup_tex': 'C_{11}:C_5', 'supersolvable': True, 'sylow': 0}
  • id: 63577837
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 2, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '440.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577838
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 2, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '440.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.4', 'subgroup_hash': 4, 'subgroup_order': 44, 'subgroup_tex': 'C_2\\times C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577839
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 2, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577841
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 2, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577842
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577843
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577844
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577845
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577846
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 484, 'characteristic': False, 'core_order': 4, 'counter': 165, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.440.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '440.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 63577847
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 484, 'characteristic': False, 'core_order': 4, 'counter': 166, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.440.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '440.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 63577848
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 484, 'characteristic': False, 'core_order': 4, 'counter': 167, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.440.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '440.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 63577849
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 484, 'characteristic': False, 'core_order': 4, 'counter': 168, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.440.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '440.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 63577850
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 2, 'counter': 169, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.440.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '440.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 63577852
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 2, 'counter': 170, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.440.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '440.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.2', 'subgroup_hash': 2, 'subgroup_order': 44, 'subgroup_tex': 'C_{44}', 'supersolvable': True, 'sylow': 0}
  • id: 63577853
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 2, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577854
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 2, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577855
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577856
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577857
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577858
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.1', 'subgroup_hash': 1, 'subgroup_order': 44, 'subgroup_tex': 'C_{11}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577859
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577860
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.q1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.q1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577861
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.q1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.q1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577863
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.440.q1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '440.q1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44.3', 'subgroup_hash': 3, 'subgroup_order': 44, 'subgroup_tex': 'D_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577864
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.484.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.484.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.10', 'subgroup_hash': 10, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.484.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.10', 'subgroup_hash': 10, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.484.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.10', 'subgroup_hash': 10, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577868
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.484.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577869
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.484.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.484.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.484.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.484.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577874
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 190, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.484.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 63577875
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 191, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.484.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '484.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 484, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
  • id: 63577876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '19360.h.605.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '605.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 605, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.40', 'subgroup_hash': 40, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\SD_{16}', 'supersolvable': True, 'sylow': 2}
  • id: 63577877
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 968, 'characteristic': False, 'core_order': 2, 'counter': 193, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.880.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '880.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577878
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 968, 'characteristic': False, 'core_order': 2, 'counter': 194, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.880.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '880.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577879
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 484, 'characteristic': False, 'core_order': 2, 'counter': 195, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.880.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '880.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577880
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 484, 'characteristic': False, 'core_order': 2, 'counter': 196, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.880.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '880.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577881
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 1, 'counter': 197, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.880.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '880.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577882
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 1, 'counter': 198, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.880.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '880.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.2', 'subgroup_hash': 2, 'subgroup_order': 22, 'subgroup_tex': 'C_{22}', 'supersolvable': True, 'sylow': 0}
  • id: 63577883
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 1, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.880.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '880.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577886
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 44, 'characteristic': False, 'core_order': 1, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.880.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '880.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577887
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.880.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '880.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577888
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.880.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '880.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577889
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.880.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '880.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577890
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.880.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '880.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577891
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.880.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '880.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577892
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.880.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '880.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577893
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.880.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '880.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577894
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.880.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '880.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22.1', 'subgroup_hash': 1, 'subgroup_order': 22, 'subgroup_tex': 'D_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577895
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.968.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '968.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 968, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577897
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.968.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '968.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 968, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577898
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.968.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '968.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 968, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577899
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 212, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.968.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '968.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 968, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577900
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 213, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.968.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '968.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 968, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577901
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 214, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.968.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '968.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 968, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577902
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 215, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.968.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '968.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 968, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 63577903
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 1, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.968.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '968.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 968, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577904
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 1, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.968.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '968.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 968, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.1210.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63577906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.1210.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63577908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.1210.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63577909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.1210.a1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.a1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 63577910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.1210.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': 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': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 4, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.1210.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577912
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.1210.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1210.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577913
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 968, 'characteristic': False, 'core_order': 1, 'counter': 225, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.1760.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1760.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577914
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 968, 'characteristic': False, 'core_order': 1, 'counter': 226, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.1760.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1760.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577915
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 484, 'characteristic': False, 'core_order': 1, 'counter': 227, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.1760.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1760.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577916
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 484, 'characteristic': False, 'core_order': 1, 'counter': 228, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.1760.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1760.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': 1, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 0}
  • id: 63577917
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 229, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.1936.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1936.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1936, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577919
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 1, 'counter': 230, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.1936.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1936.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1936, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577920
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 1, 'counter': 231, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.1936.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1936.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1936, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577921
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 1, 'counter': 232, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.1936.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1936.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1936, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577922
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 1, 'counter': 233, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.1936.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1936.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1936, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 63577923
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.2420.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 63577924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 220, 'characteristic': False, 'core_order': 4, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.2420.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.2420.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.2420.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577927
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.2420.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577928
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 2, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.2420.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 220, 'characteristic': False, 'core_order': 4, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.2420.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.2420.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 2, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.2420.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577933
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 243, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.2420.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577934
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 244, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.2420.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2420.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 63577935
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 1, 'counter': 245, 'cyclic': True, 'direct': None, 'hall': 5, 'label': '19360.h.3872.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3872.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3872, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
  • id: 63577936
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 9680, 'characteristic': True, 'core_order': 4, 'counter': 246, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '19360.h.4840.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4840.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4840.bt', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 876640736845914585, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 4840, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'D_{11}^2:C_{10}', 'simple': False, 'solvable': True, 'special_labels': ['U0', 'U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577937
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 440, 'characteristic': False, 'core_order': 2, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.4840.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4840.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63577938
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 440, 'characteristic': False, 'core_order': 2, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.4840.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4840.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63577939
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.4840.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4840.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63577941
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 440, 'characteristic': False, 'core_order': 2, 'counter': 250, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.4840.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4840.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577942
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 440, 'characteristic': False, 'core_order': 2, 'counter': 251, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.4840.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4840.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577943
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 2, 'counter': 252, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.4840.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4840.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 63577944
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 1, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.4840.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4840.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63577945
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 1, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '19360.h.4840.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4840.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 63577946
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': True, 'central_factor': False, 'centralizer_order': 19360, 'characteristic': True, 'core_order': 2, 'counter': 255, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '19360.h.9680.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '9680.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '9680.ba', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7887305892697447099, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 9680, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times D_{11}^2:C_{10}', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'Phi', 'U1', 'Z', 'Phi', 'U1'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63577947
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 440, 'characteristic': False, 'core_order': 1, 'counter': 256, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.9680.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9680.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63577948
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 440, 'characteristic': False, 'core_order': 1, 'counter': 257, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.9680.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9680.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63577949
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 1, 'counter': 258, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.9680.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9680.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63577950
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 1, 'counter': 259, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '19360.h.9680.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9680.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 63577952
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '19360.h', 'ambient_counter': 8, 'ambient_order': 19360, 'ambient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'central': True, 'central_factor': False, 'centralizer_order': 19360, 'characteristic': True, 'core_order': 1, 'counter': 260, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '19360.h.19360.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '19360.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '19360.h', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6161013968996120931, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 19360, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_{11}^2:(C_{10}\\times \\SD_{16})', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D3', 'C7', 'PC', 'U2', 'D3', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 63577773
    {'ambient': '19360.h', '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': '9680.a1.a1', 'complements': ['19360.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.a1.b1', '2.a1.c1', '2.a1.d1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '5.a1.a1', '121.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9259, 2946, 7569, 3458, 8487, 4755, 7801, 3525], 'generators': [5, 60, 8840, 4840, 9680, 1760, 10, 2], 'label': '19360.h.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.a1.b1', '2.a1.c1', '2.a1.d1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '5.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '9680.ba', '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': '9680.ba'}
  • id: 63577774
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.c1', '2.a1.d1', '2.b1.a1'], 'contains': ['8.c1.a1', '8.d1.b1', '20.a1.b1', '44.c1.b1'], 'core': '4.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7546, 4472, 5902, 2762, 4035, 2027, 5364, 2462], 'generators': [4845, 1760, 2, 9680, 60, 15880], 'label': '19360.h.4.a1.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.b1', 'normal_contained_in': ['2.a1.c1', '2.a1.d1', '2.b1.a1'], 'normal_contains': ['8.c1.a1', '20.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.b1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577775
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '44.i1.b1', '44.k1.a1', '44.l1.a1'], 'contains': ['176.b1.a1', '440.l1.a1', '968.d1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7740, -1, 8963, -1, 7795, -1, 7205, -1], 'generators': [18295, 9680, 40, 2], 'label': '19360.h.88.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '88.l1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.l1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577776
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '44.i1.a1', '44.k1.a1', '44.l1.b1'], 'contains': ['176.b1.a1', '440.l1.b1', '968.d1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7740, -1, 8320, -1, 7795, -1, 7774, -1], 'generators': [13455, 9680, 40, 2], 'label': '19360.h.88.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '88.l1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.l1.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577777
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '44.c1.a1', '44.c1.b1', '44.e1.a1'], 'contains': ['176.a1.a1', '440.m1.a1', '968.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3894, -1, 3105, -1, 4081, -1, 4365, -1], 'generators': [8980, 9680, 1760, 2], 'label': '19360.h.88.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '88.m1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.m1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577778
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '44.f1.a1', '44.l1.a1', '44.l1.b1'], 'contains': ['176.b1.a1', '440.n1.a1', '968.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8108, -1, 7340, -1, 7160, -1, 6758, -1], 'generators': [10620, 9680, 12360, 2], 'label': '19360.h.88.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '88.n1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.n1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577779
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '44.g1.a1'], 'contains': ['176.c1.a1', '440.o1.a1', '968.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [5955, -1, 5346, -1, 5958, -1, 5402, -1], 'generators': [7100, 9680, 7080, 2], 'label': '19360.h.88.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '88.o1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.o1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577780
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '44.h1.a1'], 'contains': ['176.d1.a1', '440.p1.a1', '968.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [6445, -1, 5935, -1, 6348, -1, 5677, -1], 'generators': [1820, 9680, 8840, 2], 'label': '19360.h.88.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.h1.a1', 'old_label': '88.p1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.p1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577781
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '44.b1.a1'], 'contains': ['176.e1.a1', '176.f1.b1', '176.g1.a1', '440.q1.a1', '968.f1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [451, -1, 289, -1, 91, -1, 207, -1], 'generators': [5, 2, 15880, 14580], 'label': '19360.h.88.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.a1', 'old_label': '88.q1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.q1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577782
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.b1', '44.b1.a1'], 'contains': ['176.e1.a1', '176.f1.b1', '176.g1.b1', '440.q1.b1', '968.f1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [451, -1, 69, -1, 91, -1, 644, -1], 'generators': [5, 2, 15880, 4900], 'label': '19360.h.88.q1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.a1', 'old_label': '88.q1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.q1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577783
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '44.b1.b1'], 'contains': ['176.e1.b1', '176.f1.a1', '176.g1.a1', '440.q1.c1', '968.f1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [451, -1, 749, -1, 91, -1, 64, -1], 'generators': [5, 2, 1760, 4140], 'label': '19360.h.88.q1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.b1', 'old_label': '88.q1.c1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.q1.c1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577784
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.b1', '44.b1.b1'], 'contains': ['176.e1.b1', '176.f1.a1', '176.g1.b1', '440.q1.d1', '968.f1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [451, -1, 508, -1, 91, -1, 351, -1], 'generators': [5, 2, 1760, 13820], 'label': '19360.h.88.q1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.b1', 'old_label': '88.q1.d1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.q1.d1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577803
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '88.e1.a1'], 'contains': ['352.c1.a1', '880.i1.a1', '1936.c1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1544, -1, 4321, -1, 1483, -1, 1899, -1], 'generators': [2260, 7080, 2], 'label': '19360.h.176.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '176.i1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.i1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577785
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.c1.a1', '2.d1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '20.b1.a1', '44.e1.a1', '44.f1.a1', '44.g1.a1', '44.h1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5233, 5948, 6132, 7475, 5865, 666, 5776, 385], 'generators': [4840, 1760, 2, 9680, 60, 15880], 'label': '19360.h.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.b1.a1', '2.c1.a1', '2.d1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '20.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63577786
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '110.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.b1.a1', '22.a1.a1'], 'contains': ['220.a1.a1', '220.b1.a1', '220.b1.b1', '220.c1.a1', '220.c1.b1', '220.d1.a1', '220.e1.a1', '1210.b1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4486, -1, 3445, -1, 3797, -1, 4464, -1], 'generators': [5, 60, 9680, 4840, 1760], 'label': '19360.h.110.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '110.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.a1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577787
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '110.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.c1.a1', '22.b1.a1'], 'contains': ['220.f1.a1', '220.i1.a1', '220.i1.b1', '220.j1.a1', '220.k1.a1', '220.l1.a1', '220.l1.b1', '1210.c1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8543, -1, 9517, -1, 8793, -1, 9121, -1], 'generators': [3535, 60, 9680, 4840, 12360], 'label': '19360.h.110.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '110.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110.b1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577788
    {'ambient': '19360.h', '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': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['242.a1.a1', '242.a1.b1', '242.a1.c1', '242.a1.d1', '242.b1.a1', '242.c1.a1', '242.d1.a1', '605.a1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9316, -1, 7507, -1, 8596, -1, 7921, -1], 'generators': [5, 9680, 4840, 3922, 3530, 60], 'label': '19360.h.121.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '121.a1.a1', 'projective_image': '9680.ba', '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': '8.3'}
  • id: 63577789
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '160.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1.a1', 'complements': ['121.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '80.a1.a1', '80.b1.a1', '80.b1.b1', '80.c1.a1', '80.c1.b1'], 'contains': ['1760.a1.a1', '1760.b1.a1', '1760.c1.a1', '1760.d1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1015, 8227, 2573, 8518, 1999, 3030, 1928, 3082], 'generators': [8840, 1760], 'label': '19360.h.160.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '160.a1.a1', 'normal_contained_in': ['32.a1.a1', '80.a1.a1', '80.b1.a1', '80.b1.b1'], 'normal_contains': ['19360.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '160.a1.a1', 'projective_image': '19360.h', 'quotient_action_image': '40.10', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '160.a1.a1', 'subgroup_fusion': None, 'weyl_group': '40.10'}
  • id: 63577790
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '88.a1.a1', '88.a1.b1', '88.b1.a1', '88.b1.b1', '88.c1.a1', '88.g1.a1', '88.m1.a1'], 'contains': ['352.a1.a1', '880.a1.a1', '1936.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2441, -1, 2055, -1, 2765, -1, 3032, -1], 'generators': [9680, 1760, 2], 'label': '19360.h.176.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '176.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.a1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577791
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '88.d1.a1', '88.h1.a1', '88.k1.a1', '88.k1.b1', '88.l1.a1', '88.l1.b1', '88.n1.a1'], 'contains': ['352.b1.a1', '880.b1.a1', '1936.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [6689, -1, 8343, -1, 5248, -1, 5042, -1], 'generators': [9680, 12360, 2], 'label': '19360.h.176.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '176.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.b1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577792
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '88.e1.a1', '88.i1.a1', '88.o1.a1'], 'contains': ['352.c1.a1', '880.c1.a1', '1936.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [3619, -1, 4922, -1, 3634, -1, 3875, -1], 'generators': [9680, 7080, 2], 'label': '19360.h.176.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '176.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.c1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577793
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '88.f1.a1', '88.j1.a1', '88.p1.a1'], 'contains': ['352.d1.a1', '880.d1.a1', '1936.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [4110, -1, 5182, -1, 3992, -1, 4126, -1], 'generators': [9680, 8840, 2], 'label': '19360.h.176.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.h1.a1', 'old_label': '176.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.d1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577794
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '88.a1.a1', '88.q1.a1', '88.q1.b1'], 'contains': ['352.a1.a1', '880.e1.a1', '1936.b1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [125, -1, 177, -1, 528, -1, 446, -1], 'generators': [5, 15880, 2], 'label': '19360.h.176.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.a1', 'old_label': '176.e1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.e1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577795
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.b1', '88.a1.b1', '88.q1.c1', '88.q1.d1'], 'contains': ['352.a1.a1', '880.e1.b1', '1936.b1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [125, -1, 594, -1, 528, -1, 763, -1], 'generators': [4845, 15880, 2], 'label': '19360.h.176.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.b1', 'old_label': '176.e1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.e1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577796
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['4840.f1.b1', '4840.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.a1.c1', '2.c1.a1'], 'contains': ['8.c1.a1', '8.e1.a1', '20.c1.a1', '44.l1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8223, 1322, 9202, 6535, 7673, 3314, 7076, 1169], 'generators': [18255, 1760, 2, 9680, 60, 40], 'label': '19360.h.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1', '2.a1.c1', '2.c1.a1'], 'normal_contains': ['8.c1.a1', '20.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577797
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '88.b1.a1', '88.q1.c1', '88.q1.d1'], 'contains': ['352.a1.a1', '880.f1.a1', '1936.b1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [388, -1, 459, -1, 706, -1, 321, -1], 'generators': [5, 1760, 2], 'label': '19360.h.176.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.b1', 'old_label': '176.f1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.f1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577798
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.b1', '88.b1.b1', '88.q1.a1', '88.q1.b1'], 'contains': ['352.a1.a1', '880.f1.b1', '1936.b1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [388, -1, 41, -1, 706, -1, 888, -1], 'generators': [4845, 1760, 2], 'label': '19360.h.176.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.a1', 'old_label': '176.f1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.f1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577799
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '88.c1.a1', '88.q1.a1', '88.q1.c1'], 'contains': ['352.a1.a1', '880.g1.a1', '1936.c1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [563, -1, 766, -1, 1374, -1, 1123, -1], 'generators': [4140, 1760, 2], 'label': '19360.h.176.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '176.g1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.g1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577800
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '88.c1.a1', '88.q1.b1', '88.q1.d1'], 'contains': ['352.a1.a1', '880.g1.b1', '1936.c1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [563, -1, 1387, -1, 1374, -1, 1279, -1], 'generators': [13820, 1760, 2], 'label': '19360.h.176.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '176.g1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.g1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577801
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '88.d1.a1'], 'contains': ['352.b1.a1', '880.h1.a1', '1936.c1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2936, -1, 5950, -1, 2064, -1, 2183, -1], 'generators': [5780, 12360, 2], 'label': '19360.h.176.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '176.h1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.h1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577802
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '88.d1.a1'], 'contains': ['352.b1.a1', '880.h1.b1', '1936.c1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2936, -1, 5646, -1, 2064, -1, 2545, -1], 'generators': [15460, 12360, 2], 'label': '19360.h.176.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '176.h1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.h1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577804
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '88.e1.a1'], 'contains': ['352.c1.a1', '880.i1.b1', '1936.c1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1544, -1, 4058, -1, 1483, -1, 2260, -1], 'generators': [11940, 7080, 2], 'label': '19360.h.176.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '176.i1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.i1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577805
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '88.f1.a1'], 'contains': ['352.d1.a1', '880.j1.a1', '1936.c1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1955, -1, 4532, -1, 1954, -1, 2106, -1], 'generators': [16340, 8840, 2], 'label': '19360.h.176.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.h1.a1', 'old_label': '176.j1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.j1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577806
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '176.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '88.f1.a1'], 'contains': ['352.d1.a1', '880.j1.b1', '1936.c1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1955, -1, 4236, -1, 1954, -1, 2338, -1], 'generators': [6660, 8840, 2], 'label': '19360.h.176.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.h1.a1', 'old_label': '176.j1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176.j1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577807
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['4840.f1.b1', '4840.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '2.a1.d1', '2.c1.a1'], 'contains': ['8.c1.a1', '8.e1.b1', '20.c1.b1', '44.l1.b1'], 'core': '4.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8223, 1322, 7245, 4839, 7673, 3314, 7481, 4496], 'generators': [13415, 1760, 2, 9680, 60, 40], 'label': '19360.h.4.c1.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.b1', 'normal_contained_in': ['2.a1.b1', '2.a1.d1', '2.c1.a1'], 'normal_contains': ['8.c1.a1', '20.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.b1', 'projective_image': '9680.ba', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.c1.b1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577808
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '880.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.f1.a1', '44.a1.a1', '110.a1.a1'], 'contains': ['440.a1.a1', '440.a1.b1', '440.g1.a1', '2420.b1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3825, -1, 2790, -1, 2419, -1, 3483, -1], 'generators': [5, 15880, 9680, 4840], 'label': '19360.h.220.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '220.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.a1.a1', 'subgroup_fusion': None, 'weyl_group': '40.14'}
  • id: 63577809
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.e1.a1', '44.b1.a1', '110.a1.a1'], 'contains': ['440.a1.a1', '440.b1.b1', '440.c1.a1', '440.q1.a1', '440.q1.b1', '2420.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2723, -1, 2250, -1, 1347, -1, 2435, -1], 'generators': [5, 9680, 15880, 4900], 'label': '19360.h.220.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '220.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.b1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577810
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.e1.a1', '44.b1.b1', '110.a1.a1'], 'contains': ['440.a1.b1', '440.b1.a1', '440.c1.a1', '440.q1.c1', '440.q1.d1', '2420.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2723, -1, 2428, -1, 1347, -1, 2271, -1], 'generators': [5, 9680, 1760, 4900], 'label': '19360.h.220.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '220.b1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.b1.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577811
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.a1.a1', '44.c1.a1', '110.a1.a1'], 'contains': ['440.a1.a1', '440.b1.a1', '440.m1.a1', '2420.c1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4402, -1, 3467, -1, 3364, -1, 4247, -1], 'generators': [5, 9680, 1760, 60], 'label': '19360.h.220.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '220.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.c1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577812
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.a1.b1', '44.c1.b1', '110.a1.a1'], 'contains': ['440.a1.b1', '440.b1.b1', '440.m1.a1', '2420.c1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4402, -1, 3192, -1, 3364, -1, 4483, -1], 'generators': [4845, 9680, 1760, 60], 'label': '19360.h.220.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '220.c1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.c1.b1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577813
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '880.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.f1.a1', '44.d1.a1', '110.a1.a1'], 'contains': ['440.b1.a1', '440.b1.b1', '440.g1.a1', '2420.b1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3484, -1, 3292, -1, 2579, -1, 3595, -1], 'generators': [5, 9680, 1760, 4840], 'label': '19360.h.220.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '220.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.d1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577814
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.b1.a1', '44.e1.a1', '110.a1.a1'], 'contains': ['440.c1.a1', '440.g1.a1', '440.m1.a1', '2420.d1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4604, -1, 3785, -1, 4277, -1, 4609, -1], 'generators': [4840, 9680, 1760, 60], 'label': '19360.h.220.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '220.e1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.e1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577815
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.b1.a1', '44.f1.a1', '110.b1.a1'], 'contains': ['440.d1.a1', '440.h1.a1', '440.n1.a1', '2420.d1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7905, -1, 7437, -1, 7355, -1, 6896, -1], 'generators': [4840, 9680, 12360, 60], 'label': '19360.h.220.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '220.f1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.f1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577816
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.b1.a1', '44.g1.a1'], 'contains': ['440.e1.a1', '440.i1.a1', '440.o1.a1', '2420.d1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [5966, -1, 5767, -1, 6153, -1, 5539, -1], 'generators': [4840, 9680, 7080, 60], 'label': '19360.h.220.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '220.g1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.g1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577817
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.b1.a1', '44.h1.a1'], 'contains': ['440.f1.a1', '440.j1.a1', '440.p1.a1', '2420.d1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [6252, -1, 6602, -1, 6544, -1, 5814, -1], 'generators': [4840, 9680, 8840, 60], 'label': '19360.h.220.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.h1.a1', 'old_label': '220.h1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.h1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577818
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': ['4840.f1.b1', '4840.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.a1.d1', '2.d1.a1'], 'contains': ['8.c1.a1', '20.d1.a1', '484.h1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9371, 3014, 7470, 5614, 9282, 5723, 8325, 3108], 'generators': [4850, 1760, 9700, 9680, 2, 8840], 'label': '19360.h.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.a1.a1', '2.a1.d1', '2.d1.a1'], 'normal_contains': ['8.c1.a1', '20.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63577819
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.g1.a1', '44.i1.a1', '110.b1.a1'], 'contains': ['440.d1.a1', '440.k1.a1', '440.l1.b1', '2420.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8245, -1, 9591, -1, 8476, -1, 8508, -1], 'generators': [13455, 9680, 40, 4900], 'label': '19360.h.220.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '220.i1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.i1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577820
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.g1.a1', '44.i1.b1', '110.b1.a1'], 'contains': ['440.d1.a1', '440.k1.b1', '440.l1.a1', '2420.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8245, -1, 9282, -1, 8476, -1, 8653, -1], 'generators': [3535, 9680, 12360, 4900], 'label': '19360.h.220.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '220.i1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.i1.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577821
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '880.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.h1.a1', '44.j1.a1', '110.b1.a1'], 'contains': ['440.h1.a1', '440.k1.a1', '440.k1.b1', '2420.f1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8925, -1, 9786, -1, 8856, -1, 8799, -1], 'generators': [3735, 12360, 9680, 4840], 'label': '19360.h.220.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '220.j1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.j1.a1', 'subgroup_fusion': None, 'weyl_group': '40.14'}
  • id: 63577822
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '880.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.h1.a1', '44.k1.a1', '110.b1.a1'], 'contains': ['440.h1.a1', '440.l1.a1', '440.l1.b1', '2420.f1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8447, -1, 9455, -1, 9035, -1, 9121, -1], 'generators': [13455, 9680, 40, 4840], 'label': '19360.h.220.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '220.k1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.k1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577823
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.c1.a1', '44.l1.a1', '110.b1.a1'], 'contains': ['440.k1.a1', '440.l1.a1', '440.n1.a1', '2420.g1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8724, -1, 9959, -1, 9358, -1, 9226, -1], 'generators': [8375, 9680, 12360, 60], 'label': '19360.h.220.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '220.l1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.l1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577824
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '220.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.c1.b1', '44.l1.b1', '110.b1.a1'], 'contains': ['440.k1.b1', '440.l1.b1', '440.n1.a1', '2420.g1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8724, -1, 7939, -1, 9358, -1, 9453, -1], 'generators': [3535, 9680, 12360, 60], 'label': '19360.h.220.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '220.l1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '220.l1.b1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577825
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '242.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '121.a1.a1'], 'contains': ['484.c1.a1', '484.g1.a1', '484.h1.a1', '1210.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9269, -1, 8340, -1, 9036, -1, 8055, -1], 'generators': [5, 3922, 9740, 8370, 9680], 'label': '19360.h.242.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '242.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577826
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '242.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '121.a1.a1'], 'contains': ['484.c1.a1', '484.g1.b1', '484.h1.b1', '1210.a1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9269, -1, 5557, -1, 9036, -1, 7825, -1], 'generators': [5, 3922, 60, 3530, 9680], 'label': '19360.h.242.a1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '242.a1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.a1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577827
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '242.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.c1', '121.a1.a1'], 'contains': ['484.c1.b1', '484.g1.a1', '484.h1.b1', '1210.a1.c1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9269, -1, 7567, -1, 9036, -1, 7629, -1], 'generators': [4845, 3922, 60, 3530, 9680], 'label': '19360.h.242.a1.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '242.a1.c1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.a1.c1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577828
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '242.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.d1', '121.a1.a1'], 'contains': ['484.c1.b1', '484.g1.b1', '484.h1.a1', '1210.a1.d1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9269, -1, 6354, -1, 9036, -1, 8251, -1], 'generators': [4845, 3922, 9740, 8370, 9680], 'label': '19360.h.242.a1.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '242.a1.d1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.a1.d1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577829
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': ['4840.f1.b1', '4840.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '2.a1.c1', '2.d1.a1'], 'contains': ['8.c1.a1', '20.d1.b1', '484.h1.b1'], 'core': '4.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9371, 3014, 6984, 1231, 9282, 5723, 7737, 1816], 'generators': [10, 1760, 20, 9680, 2, 8840], 'label': '19360.h.4.d1.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.b1', 'normal_contained_in': ['2.a1.b1', '2.a1.c1', '2.d1.a1'], 'normal_contains': ['8.c1.a1', '20.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.b1', 'projective_image': '9680.ba', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.d1.b1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63577830
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '242.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.a1.a1', '121.a1.a1'], 'contains': ['484.a1.a1', '484.b1.a1', '484.c1.a1', '484.c1.b1', '484.d1.a1', '1210.b1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5229, -1, 4386, -1, 4248, -1, 5629, -1], 'generators': [5, 8980, 2, 4840, 9680], 'label': '19360.h.242.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '242.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577831
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '242.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['22.b1.a1', '121.a1.a1'], 'contains': ['484.d1.a1', '484.e1.a1', '484.f1.a1', '484.g1.a1', '484.g1.b1', '1210.c1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [7427, -1, 8118, -1, 8586, -1, 7353, -1], 'generators': [13495, 8980, 2, 4840, 9680], 'label': '19360.h.242.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '242.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577832
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '242.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '121.a1.a1'], 'contains': ['484.d1.a1', '484.h1.a1', '484.h1.b1', '1210.d1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9596, -1, 7089, -1, 9606, -1, 8421, -1], 'generators': [10, 3762, 20, 4840, 9680], 'label': '19360.h.242.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '242.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '242.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577833
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '352.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '176.a1.a1', '176.e1.a1', '176.e1.b1', '176.f1.a1', '176.f1.b1', '176.g1.a1', '176.g1.b1'], 'contains': ['1760.a1.a1', '3872.a1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [208, -1, 582, -1, 1264, -1, 1124, -1], 'generators': [2, 1760], 'label': '19360.h.352.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '352.a1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352.a1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577834
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '352.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '176.b1.a1', '176.h1.a1', '176.h1.b1'], 'contains': ['1760.b1.a1', '3872.a1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3001, -1, 5843, -1, 2404, -1, 2398, -1], 'generators': [2, 12360], 'label': '19360.h.352.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '352.b1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352.b1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577835
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '352.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '176.c1.a1', '176.i1.a1', '176.i1.b1'], 'contains': ['1760.c1.a1', '3872.a1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1423, -1, 4072, -1, 1743, -1, 2029, -1], 'generators': [2, 7080], 'label': '19360.h.352.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '352.c1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352.c1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577836
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '352.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '176.d1.a1', '176.j1.a1', '176.j1.b1'], 'contains': ['1760.d1.a1', '3872.a1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [2023, -1, 4552, -1, 2142, -1, 2213, -1], 'generators': [2, 8840], 'label': '19360.h.352.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.h1.a1', 'old_label': '352.d1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352.d1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577837
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.d1.a1', '88.a1.a1', '220.a1.a1', '220.b1.a1', '220.c1.a1'], 'contains': ['880.a1.a1', '880.e1.a1', '4840.b1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2857, -1, 2657, -1, 2427, -1, 3269, -1], 'generators': [5, 15880, 9680], 'label': '19360.h.440.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '440.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.a1.a1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
  • id: 63577838
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.d1.b1', '88.a1.b1', '220.a1.a1', '220.b1.b1', '220.c1.b1'], 'contains': ['880.a1.a1', '880.e1.b1', '4840.b1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2857, -1, 2500, -1, 2427, -1, 3414, -1], 'generators': [4845, 15880, 9680], 'label': '19360.h.440.a1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '440.a1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.a1.b1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
  • id: 63577839
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.d1.a1', '88.b1.a1', '220.b1.b1', '220.c1.a1', '220.d1.a1'], 'contains': ['880.a1.a1', '880.f1.a1', '4840.b1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3203, -1, 3085, -1, 2586, -1, 3158, -1], 'generators': [5, 1760, 9680], 'label': '19360.h.440.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '440.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.b1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577840
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '8.f1.a1', '8.f1.b1', '20.e1.a1', '44.b1.a1', '44.b1.b1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2405, -1, 1963, -1, 1901, -1, 2323, -1], 'generators': [5, 1760, 9680, 2, 4900, 15880], 'label': '19360.h.4.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.e1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
  • id: 63577841
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.d1.b1', '88.b1.b1', '220.b1.a1', '220.c1.b1', '220.d1.a1'], 'contains': ['880.a1.a1', '880.f1.b1', '4840.b1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3203, -1, 2877, -1, 2586, -1, 3525, -1], 'generators': [4845, 1760, 9680], 'label': '19360.h.440.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '440.b1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.b1.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577842
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.a1.a1', '88.c1.a1', '220.b1.a1', '220.b1.b1', '220.e1.a1'], 'contains': ['880.a1.a1', '880.g1.a1', '880.g1.b1', '4840.c1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3329, -1, 2379, -1, 3047, -1, 3604, -1], 'generators': [4900, 1760, 9680], 'label': '19360.h.440.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '440.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.c1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577843
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.a1.a1', '88.d1.a1', '220.f1.a1', '220.i1.a1', '220.i1.b1'], 'contains': ['880.b1.a1', '880.h1.a1', '880.h1.b1', '4840.c1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7507, -1, 7717, -1, 5427, -1, 5168, -1], 'generators': [4900, 12360, 9680], 'label': '19360.h.440.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '440.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.d1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577844
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.a1.a1', '88.e1.a1', '220.g1.a1'], 'contains': ['880.c1.a1', '880.i1.a1', '880.i1.b1', '4840.c1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [4359, -1, 4772, -1, 3813, -1, 4001, -1], 'generators': [4900, 7080, 9680], 'label': '19360.h.440.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '440.e1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.e1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577845
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.a1.a1', '88.f1.a1', '220.h1.a1'], 'contains': ['880.d1.a1', '880.j1.a1', '880.j1.b1', '4840.c1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [5489, -1, 5006, -1, 4171, -1, 4252, -1], 'generators': [4900, 8840, 9680], 'label': '19360.h.440.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.h1.a1', 'old_label': '440.f1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.f1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577846
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.b1.a1', '88.g1.a1', '220.a1.a1', '220.d1.a1', '220.e1.a1'], 'contains': ['880.a1.a1', '4840.a1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3847, -1, 3418, -1, 3250, -1, 4395, -1], 'generators': [4840, 9680, 1760], 'label': '19360.h.440.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '440.g1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.g1.a1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
  • id: 63577847
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.b1.a1', '88.h1.a1', '220.f1.a1', '220.j1.a1', '220.k1.a1'], 'contains': ['880.b1.a1', '4840.a1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7898, -1, 8732, -1, 6946, -1, 6374, -1], 'generators': [4840, 9680, 12360], 'label': '19360.h.440.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '440.h1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.h1.a1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
  • id: 63577848
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.b1.a1', '88.i1.a1', '220.g1.a1'], 'contains': ['880.c1.a1', '4840.a1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5904, -1, 6512, -1, 5071, -1, 5247, -1], 'generators': [4840, 9680, 7080], 'label': '19360.h.440.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '440.i1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.i1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 63577849
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.b1.a1', '88.j1.a1', '220.h1.a1'], 'contains': ['880.d1.a1', '4840.a1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6028, -1, 6784, -1, 5539, -1, 5325, -1], 'generators': [4840, 9680, 8840], 'label': '19360.h.440.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '440.j1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.j1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 63577850
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.e1.a1', '88.k1.a1', '220.i1.a1', '220.j1.a1', '220.l1.a1'], 'contains': ['880.b1.a1', '4840.d1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8708, -1, 9816, -1, 8183, -1, 8342, -1], 'generators': [8575, 9680, 12360], 'label': '19360.h.440.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '440.k1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.k1.a1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
  • id: 63577851
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.b1.a1', '8.d1.a1', '8.d1.b1', '20.f1.a1', '44.a1.a1', '44.d1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2807, -1, 2786, -1, 2893, -1, 3349, -1], 'generators': [5, 1760, 2, 9680, 4840, 8840], 'label': '19360.h.4.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.f1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
  • id: 63577852
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.k1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.e1.b1', '88.k1.b1', '220.i1.b1', '220.j1.a1', '220.l1.b1'], 'contains': ['880.b1.a1', '4840.d1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8708, -1, 9037, -1, 8183, -1, 8650, -1], 'generators': [3735, 9680, 12360], 'label': '19360.h.440.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '440.k1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.k1.b1', 'subgroup_fusion': None, 'weyl_group': '20.5'}
  • id: 63577853
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.l1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.e1.a1', '88.l1.a1', '220.i1.b1', '220.k1.a1', '220.l1.a1'], 'contains': ['880.b1.a1', '4840.d1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8386, -1, 9557, -1, 8314, -1, 8434, -1], 'generators': [18295, 40, 9680], 'label': '19360.h.440.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '440.l1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.l1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577854
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.l1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.e1.b1', '88.l1.b1', '220.i1.a1', '220.k1.a1', '220.l1.b1'], 'contains': ['880.b1.a1', '4840.d1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8386, -1, 8937, -1, 8314, -1, 8806, -1], 'generators': [13455, 40, 9680], 'label': '19360.h.440.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '440.l1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.l1.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577855
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.c1.a1', '88.m1.a1', '220.c1.a1', '220.c1.b1', '220.e1.a1'], 'contains': ['880.a1.a1', '4840.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [4669, -1, 3701, -1, 4543, -1, 4656, -1], 'generators': [60, 1760, 9680], 'label': '19360.h.440.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '440.m1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.m1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577856
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.c1.a1', '88.n1.a1', '220.f1.a1', '220.l1.a1', '220.l1.b1'], 'contains': ['880.b1.a1', '4840.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8115, -1, 7396, -1, 7118, -1, 6758, -1], 'generators': [60, 12360, 9680], 'label': '19360.h.440.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '440.n1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.n1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577857
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.c1.a1', '88.o1.a1', '220.g1.a1'], 'contains': ['880.c1.a1', '4840.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [6229, -1, 5697, -1, 6176, -1, 5539, -1], 'generators': [60, 7080, 9680], 'label': '19360.h.440.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '440.o1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.o1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577858
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.c1.a1', '88.p1.a1', '220.h1.a1'], 'contains': ['880.d1.a1', '4840.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [6713, -1, 6649, -1, 6348, -1, 5814, -1], 'generators': [60, 8840, 9680], 'label': '19360.h.440.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.h1.a1', 'old_label': '440.p1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.p1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577859
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.f1.a1', '88.q1.a1', '220.b1.a1'], 'contains': ['880.e1.a1', '880.f1.b1', '880.g1.a1', '4840.f1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [745, -1, 1398, -1, 817, -1, 1045, -1], 'generators': [5, 15880, 14580], 'label': '19360.h.440.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.a1', 'old_label': '440.q1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.q1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577860
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.f1.b1', '88.q1.b1', '220.b1.a1'], 'contains': ['880.e1.a1', '880.f1.b1', '880.g1.b1', '4840.f1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [745, -1, 832, -1, 817, -1, 1526, -1], 'generators': [5, 15880, 4900], 'label': '19360.h.440.q1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.a1', 'old_label': '440.q1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.q1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577861
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.f1.a1', '88.q1.c1', '220.b1.b1'], 'contains': ['880.e1.b1', '880.f1.a1', '880.g1.a1', '4840.f1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [745, -1, 1313, -1, 817, -1, 966, -1], 'generators': [5, 1760, 14580], 'label': '19360.h.440.q1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.b1', 'old_label': '440.q1.c1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.q1.c1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577862
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.a1.a1', '8.e1.a1', '8.e1.b1', '20.g1.a1', '44.i1.a1', '44.i1.b1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7885, -1, 8483, -1, 7087, -1, 6663, -1], 'generators': [13415, 1760, 2, 9680, 4900, 40], 'label': '19360.h.4.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.g1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
  • id: 63577863
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '440.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['40.f1.b1', '88.q1.d1', '220.b1.b1'], 'contains': ['880.e1.b1', '880.f1.a1', '880.g1.b1', '4840.f1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [745, -1, 1075, -1, 817, -1, 1201, -1], 'generators': [5, 1760, 4900], 'label': '19360.h.440.q1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.b1', 'old_label': '440.q1.d1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '440.q1.d1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577864
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '484.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.b1.a1', '44.b1.b1', '242.b1.a1'], 'contains': ['968.a1.a1', '968.a1.b1', '968.b1.a1', '968.f1.a1', '968.f1.b1', '2420.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [2335, -1, 567, -1, 1580, -1, 1438, -1], 'generators': [5, 9680, 2, 13820], 'label': '19360.h.484.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '242.b1.a1', 'old_label': '484.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577865
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '484.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.a1.a1', '44.d1.a1', '242.b1.a1'], 'contains': ['968.a1.a1', '968.a1.b1', '968.c1.a1', '2420.b1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [2000, -1, 2110, -1, 2229, -1, 3349, -1], 'generators': [5, 2, 9680, 4840], 'label': '19360.h.484.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '242.b1.a1', 'old_label': '484.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 63577866
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '484.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.c1.a1', '242.a1.a1', '242.a1.b1', '242.b1.a1'], 'contains': ['968.a1.a1', '968.e1.a1', '2420.c1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5335, -1, 4741, -1, 4671, -1, 6265, -1], 'generators': [5, 2, 9680, 8980], 'label': '19360.h.484.c1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '484.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577867
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '484.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.c1.b1', '242.a1.c1', '242.a1.d1', '242.b1.a1'], 'contains': ['968.a1.b1', '968.e1.a1', '2420.c1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5335, -1, 5275, -1, 4671, -1, 6387, -1], 'generators': [4845, 2, 9680, 8980], 'label': '19360.h.484.c1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '484.c1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.c1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577868
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '484.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.e1.a1', '44.f1.a1', '44.g1.a1', '44.h1.a1', '242.b1.a1', '242.c1.a1', '242.d1.a1'], 'contains': ['968.b1.a1', '968.c1.a1', '968.e1.a1', '2420.d1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5710, -1, 6215, -1, 5762, -1, 5960, -1], 'generators': [4840, 2, 9680, 8980], 'label': '19360.h.484.d1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '484.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577869
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '484.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.i1.a1', '44.i1.b1', '242.c1.a1'], 'contains': ['968.b1.a1', '968.d1.a1', '968.d1.b1', '2420.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [7183, -1, 8066, -1, 8269, -1, 7342, -1], 'generators': [13495, 2, 9680, 13820], 'label': '19360.h.484.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '242.c1.a1', 'old_label': '484.e1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577870
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '484.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.j1.a1', '44.k1.a1', '242.c1.a1'], 'contains': ['968.c1.a1', '968.d1.a1', '968.d1.b1', '2420.f1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [6862, -1, 9121, -1, 8666, -1, 7648, -1], 'generators': [13495, 2, 9680, 4840], 'label': '19360.h.484.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '242.c1.a1', 'old_label': '484.f1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 63577871
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '484.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.l1.a1', '242.a1.a1', '242.a1.c1', '242.c1.a1'], 'contains': ['968.d1.a1', '968.e1.a1', '2420.g1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [7667, -1, 8320, -1, 9196, -1, 7900, -1], 'generators': [18335, 2, 9680, 8980], 'label': '19360.h.484.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '484.g1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.g1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577872
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '484.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['44.l1.b1', '242.a1.b1', '242.a1.d1', '242.c1.a1'], 'contains': ['968.d1.b1', '968.e1.a1', '2420.g1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [7667, -1, 6436, -1, 9196, -1, 8021, -1], 'generators': [13495, 2, 9680, 8980], 'label': '19360.h.484.g1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '484.g1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.g1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577873
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.b1.a1', '8.e1.a1', '8.e1.b1', '20.h1.a1', '44.j1.a1', '44.k1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7225, -1, 8913, -1, 7388, -1, 6875, -1], 'generators': [13415, 1760, 2, 9680, 4840, 40], 'label': '19360.h.4.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.h1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
  • id: 63577874
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '484.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '242.a1.a1', '242.a1.d1', '242.d1.a1'], 'contains': ['968.e1.a1', '2420.h1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9363, -1, 7113, -1, 9785, -1, 8200, -1], 'generators': [4850, 9700, 9680, 3762], 'label': '19360.h.484.h1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '484.h1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577875
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '484.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '242.a1.b1', '242.a1.c1', '242.d1.a1'], 'contains': ['968.e1.a1', '2420.h1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9363, -1, 6956, -1, 9785, -1, 8122, -1], 'generators': [10, 20, 9680, 3762], 'label': '19360.h.484.h1.b1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '484.h1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '484.h1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577876
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '605.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5.a1.a1', '121.a1.a1'], 'contains': ['1210.a1.a1', '1210.a1.b1', '1210.a1.c1', '1210.a1.d1', '1210.b1.a1', '1210.c1.a1', '1210.d1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9453, -1, 8799, -1, 9315, -1, 9607, -1], 'generators': [5, 3530, 4840], 'label': '19360.h.605.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '605.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '605.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577877
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.a1.a1', '176.a1.a1', '440.a1.a1', '440.a1.b1', '440.b1.a1', '440.b1.b1', '440.c1.a1', '440.g1.a1', '440.m1.a1'], 'contains': ['1760.a1.a1', '9680.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3327, -1, 2962, -1, 3047, -1, 3525, -1], 'generators': [9680, 1760], 'label': '19360.h.880.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '880.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 63577878
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.a1.a1', '176.b1.a1', '440.d1.a1', '440.h1.a1', '440.k1.a1', '440.k1.b1', '440.l1.a1', '440.l1.b1', '440.n1.a1'], 'contains': ['1760.b1.a1', '9680.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7579, -1, 8406, -1, 5427, -1, 6374, -1], 'generators': [9680, 12360], 'label': '19360.h.880.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '880.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.b1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 63577879
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.a1.a1', '176.c1.a1', '440.e1.a1', '440.i1.a1', '440.o1.a1'], 'contains': ['1760.c1.a1', '9680.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4727, -1, 5405, -1, 4133, -1, 4126, -1], 'generators': [9680, 7080], 'label': '19360.h.880.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '880.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.c1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 63577880
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.a1.a1', '176.d1.a1', '440.f1.a1', '440.j1.a1', '440.p1.a1'], 'contains': ['1760.d1.a1', '9680.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5549, -1, 5593, -1, 4244, -1, 4252, -1], 'generators': [9680, 8840], 'label': '19360.h.880.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '880.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.d1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 63577881
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.c1.a1', '176.e1.a1', '440.a1.a1', '440.q1.a1', '440.q1.b1'], 'contains': ['1760.a1.a1', '9680.b1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [643, -1, 1144, -1, 1021, -1, 1295, -1], 'generators': [5, 15880], 'label': '19360.h.880.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.a1', 'old_label': '880.e1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.e1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 63577882
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.a1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.c1.b1', '176.e1.b1', '440.a1.b1', '440.q1.c1', '440.q1.d1'], 'contains': ['1760.a1.a1', '9680.b1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [643, -1, 928, -1, 1021, -1, 1446, -1], 'generators': [4845, 15880], 'label': '19360.h.880.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.b1', 'old_label': '880.e1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.e1.b1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 63577883
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.c1.a1', '176.f1.a1', '440.b1.a1', '440.q1.c1', '440.q1.d1'], 'contains': ['1760.a1.a1', '9680.b1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [428, -1, 1281, -1, 1133, -1, 1216, -1], 'generators': [5, 1760], 'label': '19360.h.880.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '880.f1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.f1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577884
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['9680.c1.b1', '9680.c1.a1', '9680.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '4.d1.a1', '10.a1.a1', '242.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9382, 1204, 9061, 6224, 8377, 6355, 7955, 3987], 'generators': [5, 8840, 2, 9740, 4850, 1760, 9680], 'label': '19360.h.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.c1.a1', '4.d1.a1', '10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577885
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['3872.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '10.a1.b1', '10.a1.c1', '10.a1.d1', '10.b1.a1', '10.c1.a1', '10.d1.a1', '605.a1.a1'], 'core': '5.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9762, 1062, 9355, 2617, 8816, 8121, 8936, 7245], 'generators': [5, 40, 4840, 60, 10, 1760, 9680], 'label': '19360.h.5.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.a1.a1', '10.a1.b1', '10.a1.c1', '10.a1.d1', '10.b1.a1', '10.c1.a1', '10.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '5.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577886
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '440.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.c1.b1', '176.f1.b1', '440.b1.b1', '440.q1.a1', '440.q1.b1'], 'contains': ['1760.a1.a1', '9680.b1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [428, -1, 843, -1, 1133, -1, 1525, -1], 'generators': [4845, 1760], 'label': '19360.h.880.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '880.f1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.f1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577887
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.b1.a1', '176.g1.a1', '440.c1.a1', '440.q1.a1', '440.q1.c1'], 'contains': ['1760.a1.a1', '9680.c1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [906, -1, 1610, -1, 1500, -1, 1604, -1], 'generators': [14580, 1760], 'label': '19360.h.880.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '880.g1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.g1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577888
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.b1.b1', '176.g1.b1', '440.c1.a1', '440.q1.b1', '440.q1.d1'], 'contains': ['1760.a1.a1', '9680.c1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [906, -1, 1756, -1, 1500, -1, 1761, -1], 'generators': [4900, 1760], 'label': '19360.h.880.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '880.g1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.g1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577889
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.b1.a1', '176.h1.a1', '440.d1.a1'], 'contains': ['1760.b1.a1', '9680.c1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2968, -1, 6422, -1, 2535, -1, 2490, -1], 'generators': [14580, 12360], 'label': '19360.h.880.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '880.h1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.h1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577890
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.b1.b1', '176.h1.b1', '440.d1.a1'], 'contains': ['1760.b1.a1', '9680.c1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2968, -1, 5191, -1, 2535, -1, 2727, -1], 'generators': [4900, 12360], 'label': '19360.h.880.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '880.h1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.h1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577891
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.b1.a1', '176.i1.a1', '440.e1.a1'], 'contains': ['1760.c1.a1', '9680.c1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1535, -1, 4209, -1, 1874, -1, 2121, -1], 'generators': [14580, 7080], 'label': '19360.h.880.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '880.i1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.i1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577892
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.b1.b1', '176.i1.b1', '440.e1.a1'], 'contains': ['1760.c1.a1', '9680.c1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1535, -1, 3798, -1, 1874, -1, 2569, -1], 'generators': [4900, 7080], 'label': '19360.h.880.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '880.i1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.i1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577893
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.b1.a1', '176.j1.a1', '440.f1.a1'], 'contains': ['1760.d1.a1', '9680.c1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [2268, -1, 4656, -1, 2273, -1, 2306, -1], 'generators': [14580, 8840], 'label': '19360.h.880.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.h1.a1', 'old_label': '880.j1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.j1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577894
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '880.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['80.b1.b1', '176.j1.b1', '440.f1.a1'], 'contains': ['1760.d1.a1', '9680.c1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [2268, -1, 3994, -1, 2273, -1, 2648, -1], 'generators': [4900, 8840], 'label': '19360.h.880.j1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.h1.a1', 'old_label': '880.j1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '880.j1.b1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577895
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '968.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['88.a1.a1', '88.b1.a1', '484.a1.a1', '484.b1.a1', '484.c1.a1'], 'contains': ['1936.a1.a1', '1936.b1.a1', '4840.b1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [1984, -1, 2199, -1, 2222, -1, 2656, -1], 'generators': [5, 2, 9680], 'label': '19360.h.968.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '242.b1.a1', 'old_label': '968.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '968.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577896
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.e1.a1', '4.g1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.b1.b1', '40.a1.a1', '88.c1.a1', '88.d1.a1', '88.e1.a1', '88.f1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4154, 8536, 4847, 8809, 3124, 923, 3509, 1730], 'generators': [4900, 2, 15880, 9680, 1760], 'label': '19360.h.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.a1', '16.b1.b1', '40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63577897
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '968.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['88.a1.b1', '88.b1.b1', '484.a1.a1', '484.b1.a1', '484.c1.b1'], 'contains': ['1936.a1.a1', '1936.b1.b1', '4840.b1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [1984, -1, 1987, -1, 2222, -1, 2800, -1], 'generators': [4845, 2, 9680], 'label': '19360.h.968.a1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '242.b1.a1', 'old_label': '968.a1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '968.a1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577898
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '968.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['88.c1.a1', '88.d1.a1', '88.e1.a1', '88.f1.a1', '484.a1.a1', '484.d1.a1', '484.e1.a1'], 'contains': ['1936.a1.a1', '1936.c1.a1', '1936.c1.b1', '4840.c1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [3737, -1, 4911, -1, 3409, -1, 3716, -1], 'generators': [13820, 2, 9680], 'label': '19360.h.968.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '968.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '968.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577899
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '968.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['88.g1.a1', '88.h1.a1', '88.i1.a1', '88.j1.a1', '484.b1.a1', '484.d1.a1', '484.f1.a1'], 'contains': ['1936.a1.a1', '4840.a1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [4233, -1, 6593, -1, 4960, -1, 4917, -1], 'generators': [4840, 9680, 2], 'label': '19360.h.968.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '968.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '968.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577900
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '968.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['88.k1.a1', '88.l1.a1', '484.e1.a1', '484.f1.a1', '484.g1.a1'], 'contains': ['1936.a1.a1', '4840.d1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [6983, -1, 9121, -1, 8072, -1, 7342, -1], 'generators': [18335, 9680, 2], 'label': '19360.h.968.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '242.c1.a1', 'old_label': '968.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '968.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577901
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '968.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['88.k1.b1', '88.l1.b1', '484.e1.a1', '484.f1.a1', '484.g1.b1'], 'contains': ['1936.a1.a1', '4840.d1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [6983, -1, 7956, -1, 8072, -1, 7648, -1], 'generators': [13495, 9680, 2], 'label': '19360.h.968.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '242.c1.a1', 'old_label': '968.d1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '968.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577902
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '968.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['88.m1.a1', '88.n1.a1', '88.o1.a1', '88.p1.a1', '484.c1.a1', '484.c1.b1', '484.d1.a1', '484.g1.a1', '484.g1.b1', '484.h1.a1', '484.h1.b1'], 'contains': ['1936.a1.a1', '4840.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [6540, -1, 6215, -1, 5873, -1, 6175, -1], 'generators': [8980, 9680, 2], 'label': '19360.h.968.e1.a1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '968.e1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '968.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577903
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '968.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['88.q1.a1', '88.q1.c1', '484.a1.a1'], 'contains': ['1936.b1.a1', '1936.b1.b1', '1936.c1.a1', '4840.f1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 484, 'diagramx': [1361, -1, 409, -1, 975, -1, 210, -1], 'generators': [5, 2, 4140], 'label': '19360.h.968.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '484.a1.a1', 'old_label': '968.f1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '968.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577904
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '968.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['88.q1.b1', '88.q1.d1', '484.a1.a1'], 'contains': ['1936.b1.a1', '1936.b1.b1', '1936.c1.b1', '4840.f1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 484, 'diagramx': [1361, -1, 215, -1, 975, -1, 605, -1], 'generators': [5, 2, 13820], 'label': '19360.h.968.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '484.a1.a1', 'old_label': '968.f1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '968.f1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577905
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1210.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.a1.a1', '242.a1.a1', '605.a1.a1'], 'contains': ['2420.c1.a1', '2420.g1.a1', '2420.h1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9619, -1, 8690, -1, 9668, -1, 9724, -1], 'generators': [5, 8370], 'label': '19360.h.1210.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '1210.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577906
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1210.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.a1.b1', '242.a1.b1', '605.a1.a1'], 'contains': ['2420.c1.a1', '2420.g1.b1', '2420.h1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9619, -1, 7086, -1, 9668, -1, 9637, -1], 'generators': [5, 3530], 'label': '19360.h.1210.a1.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '1210.a1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.a1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577907
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.f1.a1', '4.h1.a1'], 'contains': ['16.a1.a1', '40.b1.a1', '88.g1.a1', '88.h1.a1', '88.i1.a1', '88.j1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4902, 7122, 6576, 7908, 5297, 2227, 5049, 2482], 'generators': [4840, 9680, 8840, 2, 1760], 'label': '19360.h.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.a1.a1', '40.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63577908
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1210.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.a1.c1', '242.a1.c1', '605.a1.a1'], 'contains': ['2420.c1.b1', '2420.g1.a1', '2420.h1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9619, -1, 7789, -1, 9668, -1, 9549, -1], 'generators': [4845, 3530], 'label': '19360.h.1210.a1.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.a1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '1210.a1.c1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.a1.c1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577909
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1210.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.a1.d1', '242.a1.d1', '605.a1.a1'], 'contains': ['2420.c1.b1', '2420.g1.b1', '2420.h1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9619, -1, 7410, -1, 9668, -1, 9810, -1], 'generators': [4845, 8370], 'label': '19360.h.1210.a1.d1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.a1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '1210.a1.d1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.a1.d1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577910
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1210.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.a1.a1', '242.b1.a1', '605.a1.a1'], 'contains': ['2420.a1.a1', '2420.b1.a1', '2420.c1.a1', '2420.c1.b1', '2420.d1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5174, -1, 4391, -1, 4844, -1, 6508, -1], 'generators': [5, 4840, 60], 'label': '19360.h.1210.b1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '1210.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577911
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1210.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['110.b1.a1', '242.c1.a1', '605.a1.a1'], 'contains': ['2420.d1.a1', '2420.e1.a1', '2420.f1.a1', '2420.g1.a1', '2420.g1.b1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [8453, -1, 8803, -1, 9519, -1, 9339, -1], 'generators': [13215, 4840, 60], 'label': '19360.h.1210.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '1210.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577912
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1210.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10.d1.a1', '242.d1.a1', '605.a1.a1'], 'contains': ['2420.d1.a1', '2420.h1.a1', '2420.h1.b1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9453, -1, 7630, -1, 9926, -1, 9948, -1], 'generators': [10, 4840], 'label': '19360.h.1210.d1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '1210.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1210.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577913
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1760.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.a1.a1', '352.a1.a1', '880.a1.a1', '880.e1.a1', '880.e1.b1', '880.f1.a1', '880.f1.b1', '880.g1.a1', '880.g1.b1'], 'contains': ['19360.a1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [496, -1, 1339, -1, 1500, -1, 1564, -1], 'generators': [1760], 'label': '19360.h.1760.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '160.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '1760.a1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1760.a1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 63577914
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1760.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '20.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.a1.a1', '352.b1.a1', '880.b1.a1', '880.h1.a1', '880.h1.b1'], 'contains': ['19360.a1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2930, -1, 6077, -1, 2404, -1, 2444, -1], 'generators': [12360], 'label': '19360.h.1760.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '160.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '1760.b1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1760.b1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 63577915
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1760.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.a1.a1', '352.c1.a1', '880.c1.a1', '880.i1.a1', '880.i1.b1'], 'contains': ['19360.a1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1121, -1, 4090, -1, 1975, -1, 2151, -1], 'generators': [7080], 'label': '19360.h.1760.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '160.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '1760.c1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1760.c1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 63577916
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1760.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['160.a1.a1', '352.d1.a1', '880.d1.a1', '880.j1.a1', '880.j1.b1'], 'contains': ['19360.a1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2216, -1, 4598, -1, 2142, -1, 2260, -1], 'generators': [8840], 'label': '19360.h.1760.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '160.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '1760.d1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1760.d1.a1', 'subgroup_fusion': None, 'weyl_group': '10.2'}
  • id: 63577917
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1936.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['176.a1.a1', '176.b1.a1', '176.c1.a1', '176.d1.a1', '968.a1.a1', '968.a1.b1', '968.b1.a1', '968.c1.a1', '968.d1.a1', '968.d1.b1', '968.e1.a1'], 'contains': ['3872.a1.a1', '9680.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [3748, -1, 5094, -1, 3919, -1, 3950, -1], 'generators': [9680, 2], 'label': '19360.h.1936.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '1936.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1936.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577918
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '4.c1.a1', '4.c1.b1', '4.d1.a1', '4.d1.b1'], 'contains': ['16.a1.a1', '40.c1.a1', '88.m1.a1', '88.n1.a1', '88.o1.a1', '88.p1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7738, 5046, 5986, 5371, 6072, 3314, 5776, 3108], 'generators': [60, 9680, 15880, 2, 1760], 'label': '19360.h.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '4.c1.a1', '4.c1.b1', '4.d1.a1', '4.d1.b1'], 'normal_contains': ['16.a1.a1', '40.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63577919
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1936.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['176.e1.a1', '176.f1.a1', '968.a1.a1', '968.f1.a1', '968.f1.b1'], 'contains': ['3872.a1.a1', '9680.b1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 484, 'diagramx': [800, -1, 255, -1, 910, -1, 605, -1], 'generators': [5, 2], 'label': '19360.h.1936.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '484.a1.a1', 'old_label': '1936.b1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1936.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577920
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1936.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['176.e1.b1', '176.f1.b1', '968.a1.b1', '968.f1.a1', '968.f1.b1'], 'contains': ['3872.a1.a1', '9680.b1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 484, 'diagramx': [800, -1, 409, -1, 910, -1, 888, -1], 'generators': [4845, 2], 'label': '19360.h.1936.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '484.a1.a1', 'old_label': '1936.b1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1936.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577921
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1936.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['176.g1.a1', '176.h1.a1', '176.i1.a1', '176.j1.a1', '968.b1.a1', '968.f1.a1'], 'contains': ['3872.a1.a1', '9680.c1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [1741, -1, 4328, -1, 1612, -1, 1682, -1], 'generators': [4140, 2], 'label': '19360.h.1936.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '1936.c1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1936.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577922
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '1936.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['176.g1.b1', '176.h1.b1', '176.i1.b1', '176.j1.b1', '968.b1.a1', '968.f1.b1'], 'contains': ['3872.a1.a1', '9680.c1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [1741, -1, 3706, -1, 1612, -1, 1840, -1], 'generators': [13820, 2], 'label': '19360.h.1936.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '1936.c1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1936.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577923
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2420.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['220.b1.a1', '220.b1.b1', '484.a1.a1', '1210.b1.a1'], 'contains': ['4840.b1.a1', '4840.b1.b1', '4840.c1.a1', '4840.f1.a1', '4840.f1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [2620, -1, 2450, -1, 2939, -1, 2909, -1], 'generators': [5, 4900, 9680], 'label': '19360.h.2420.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '242.b1.a1', 'old_label': '2420.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577924
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2420.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '88.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['220.a1.a1', '220.d1.a1', '484.b1.a1', '1210.b1.a1'], 'contains': ['4840.a1.a1', '4840.b1.a1', '4840.b1.b1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3533, -1, 2868, -1, 3149, -1, 4324, -1], 'generators': [5, 4840], 'label': '19360.h.2420.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '2420.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 63577925
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2420.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['220.c1.a1', '484.c1.a1', '1210.a1.a1', '1210.a1.b1', '1210.b1.a1'], 'contains': ['4840.b1.a1', '4840.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5206, -1, 4768, -1, 4758, -1, 6444, -1], 'generators': [5, 60], 'label': '19360.h.2420.c1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '2420.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577926
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2420.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['220.c1.b1', '484.c1.b1', '1210.a1.c1', '1210.a1.d1', '1210.b1.a1'], 'contains': ['4840.b1.b1', '4840.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [5206, -1, 5264, -1, 4758, -1, 6508, -1], 'generators': [4845, 60], 'label': '19360.h.2420.c1.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '2420.c1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.c1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577927
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2420.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['220.e1.a1', '220.f1.a1', '220.g1.a1', '220.h1.a1', '484.d1.a1', '1210.b1.a1', '1210.c1.a1', '1210.d1.a1'], 'contains': ['4840.a1.a1', '4840.c1.a1', '4840.e1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [6225, -1, 6630, -1, 6015, -1, 6274, -1], 'generators': [4840, 60], 'label': '19360.h.2420.d1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '2420.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577928
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2420.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['220.i1.a1', '220.i1.b1', '484.e1.a1', '1210.c1.a1'], 'contains': ['4840.c1.a1', '4840.d1.a1', '4840.d1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 242, 'diagramx': [7952, -1, 8987, -1, 8476, -1, 8548, -1], 'generators': [13215, 4900], 'label': '19360.h.2420.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '242.c1.a1', 'old_label': '2420.e1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577929
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.e1.a1', '4.f1.a1'], 'contains': ['16.a1.a1', '16.c1.a1', '40.d1.a1', '88.a1.a1', '88.b1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2395, -1, 2786, -1, 1767, -1, 2323, -1], 'generators': [5, 2, 8840, 9680, 1760], 'label': '19360.h.8.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
  • id: 63577930
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2420.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '88.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['220.j1.a1', '220.k1.a1', '484.f1.a1', '1210.c1.a1'], 'contains': ['4840.a1.a1', '4840.d1.a1', '4840.d1.b1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8248, -1, 9199, -1, 8760, -1, 8721, -1], 'generators': [13415, 4840], 'label': '19360.h.2420.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '2420.f1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 63577931
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2420.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['220.l1.a1', '484.g1.a1', '1210.a1.a1', '1210.a1.c1', '1210.c1.a1'], 'contains': ['4840.d1.a1', '4840.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [8429, -1, 8690, -1, 9277, -1, 9226, -1], 'generators': [18055, 60], 'label': '19360.h.2420.g1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '2420.g1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.g1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577932
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2420.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '968.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['220.l1.b1', '484.g1.b1', '1210.a1.b1', '1210.a1.d1', '1210.c1.a1'], 'contains': ['4840.d1.b1', '4840.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [8429, -1, 7361, -1, 9277, -1, 9339, -1], 'generators': [13215, 60], 'label': '19360.h.2420.g1.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '2420.g1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.g1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 63577933
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2420.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.d1.a1', '484.h1.a1', '1210.a1.a1', '1210.a1.d1', '1210.d1.a1'], 'contains': ['4840.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9453, -1, 7844, -1, 9785, -1, 9767, -1], 'generators': [4850], 'label': '19360.h.2420.h1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '2420.h1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577934
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2420.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['20.d1.b1', '484.h1.b1', '1210.a1.b1', '1210.a1.c1', '1210.d1.a1'], 'contains': ['4840.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [9453, -1, 7100, -1, 9785, -1, 9593, -1], 'generators': [10], 'label': '19360.h.2420.h1.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '2420.h1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2420.h1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577935
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '3872.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['352.a1.a1', '352.b1.a1', '352.c1.a1', '352.d1.a1', '1936.a1.a1', '1936.b1.a1', '1936.b1.b1', '1936.c1.a1', '1936.c1.b1'], 'contains': ['19360.a1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [1665, -1, 3978, -1, 1763, -1, 1896, -1], 'generators': [2], 'label': '19360.h.3872.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '3872.a1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3872.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577936
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4840.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['440.g1.a1', '440.h1.a1', '440.i1.a1', '440.j1.a1', '968.c1.a1', '2420.b1.a1', '2420.d1.a1', '2420.f1.a1'], 'contains': ['9680.a1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5902, 6677, 6630, 7523, 5071, 4510, 5247, 4073], 'generators': [4840], 'label': '19360.h.4840.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4840.a1.a1', 'normal_contained_in': ['40.b1.a1'], 'normal_contains': ['9680.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4840.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2420.b', 'quotient_action_kernel_order': 2420, 'quotient_fusion': None, 'short_label': '4840.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577937
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4840.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '44.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['440.a1.a1', '440.b1.a1', '968.a1.a1', '2420.a1.a1', '2420.b1.a1', '2420.c1.a1'], 'contains': ['9680.a1.a1', '9680.b1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2772, -1, 2806, -1, 2791, -1, 3213, -1], 'generators': [5, 9680], 'label': '19360.h.4840.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '4840.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4840.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577938
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4840.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '44.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['440.a1.b1', '440.b1.b1', '968.a1.b1', '2420.a1.a1', '2420.b1.a1', '2420.c1.b1'], 'contains': ['9680.a1.a1', '9680.b1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2772, -1, 2644, -1, 2791, -1, 3431, -1], 'generators': [4845, 9680], 'label': '19360.h.4840.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '4840.b1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4840.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577939
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4840.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['440.c1.a1', '440.d1.a1', '440.e1.a1', '440.f1.a1', '968.b1.a1', '2420.a1.a1', '2420.d1.a1', '2420.e1.a1'], 'contains': ['9680.a1.a1', '9680.c1.a1', '9680.c1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [4631, -1, 4914, -1, 4026, -1, 4025, -1], 'generators': [4900, 9680], 'label': '19360.h.4840.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '4840.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4840.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577940
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '4.e1.a1', '4.f1.a1'], 'contains': ['16.a1.a1', '16.c1.b1', '40.d1.b1', '88.a1.b1', '88.b1.b1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2395, -1, 2313, -1, 1767, -1, 2538, -1], 'generators': [4845, 2, 8840, 9680, 1760], 'label': '19360.h.8.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.d1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
  • id: 63577941
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4840.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '44.i1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['440.k1.a1', '440.l1.a1', '968.d1.a1', '2420.e1.a1', '2420.f1.a1', '2420.g1.a1'], 'contains': ['9680.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8114, -1, 9147, -1, 8314, -1, 8434, -1], 'generators': [18255], 'label': '19360.h.4840.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '4840.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4840.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577942
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4840.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '44.i1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['440.k1.b1', '440.l1.b1', '968.d1.b1', '2420.e1.a1', '2420.f1.a1', '2420.g1.b1'], 'contains': ['9680.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8114, -1, 8903, -1, 8314, -1, 8650, -1], 'generators': [13415], 'label': '19360.h.4840.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '4840.d1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4840.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577943
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4840.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '242.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['440.m1.a1', '440.n1.a1', '440.o1.a1', '440.p1.a1', '968.e1.a1', '2420.c1.a1', '2420.c1.b1', '2420.d1.a1', '2420.g1.a1', '2420.g1.b1', '2420.h1.a1', '2420.h1.b1'], 'contains': ['9680.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [6745, -1, 6849, -1, 6095, -1, 6444, -1], 'generators': [60], 'label': '19360.h.4840.e1.a1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '40.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '4840.e1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4840.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 63577944
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4840.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['440.q1.a1', '440.q1.c1', '968.f1.a1', '2420.a1.a1'], 'contains': ['9680.b1.a1', '9680.b1.b1', '9680.c1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 484, 'diagramx': [1361, -1, 1501, -1, 1391, -1, 1034, -1], 'generators': [5, 14580], 'label': '19360.h.4840.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '484.a1.a1', 'old_label': '4840.f1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4840.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577945
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4840.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '484.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['440.q1.b1', '440.q1.d1', '968.f1.b1', '2420.a1.a1'], 'contains': ['9680.b1.a1', '9680.b1.b1', '9680.c1.b1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 484, 'diagramx': [1361, -1, 1024, -1, 1391, -1, 1370, -1], 'generators': [5, 4900], 'label': '19360.h.4840.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '484.a1.a1', 'old_label': '4840.f1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4840.f1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577946
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '9680.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['880.a1.a1', '880.b1.a1', '880.c1.a1', '880.d1.a1', '1936.a1.a1', '4840.a1.a1', '4840.b1.a1', '4840.b1.b1', '4840.c1.a1', '4840.d1.a1', '4840.d1.b1', '4840.e1.a1'], 'contains': ['19360.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4780, 7196, 5405, 7856, 4133, 3764, 4126, 3633], 'generators': [9680], 'label': '19360.h.9680.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '9680.a1.a1', 'normal_contained_in': ['80.a1.a1', '4840.a1.a1'], 'normal_contains': ['19360.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '9680.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '1.1', 'quotient_action_kernel': '9680.ba', 'quotient_action_kernel_order': 9680, 'quotient_fusion': None, 'short_label': '9680.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577947
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '9680.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '44.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['880.e1.a1', '880.f1.a1', '1936.b1.a1', '4840.b1.a1', '4840.f1.a1', '4840.f1.b1'], 'contains': ['19360.a1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1053, -1, 1180, -1, 1263, -1, 1295, -1], 'generators': [5], 'label': '19360.h.9680.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.a1', 'old_label': '9680.b1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9680.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577948
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '9680.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '44.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['880.e1.b1', '880.f1.b1', '1936.b1.b1', '4840.b1.b1', '4840.f1.a1', '4840.f1.b1'], 'contains': ['19360.a1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [1053, -1, 1024, -1, 1263, -1, 1446, -1], 'generators': [4845], 'label': '19360.h.9680.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.b1.b1', 'old_label': '9680.b1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9680.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577949
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '9680.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['880.g1.a1', '880.h1.a1', '880.i1.a1', '880.j1.a1', '1936.c1.a1', '4840.c1.a1', '4840.f1.a1'], 'contains': ['19360.a1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [1825, -1, 4305, -1, 1874, -1, 2017, -1], 'generators': [14580], 'label': '19360.h.9680.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '9680.c1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9680.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577950
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '9680.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '121.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['880.g1.b1', '880.h1.b1', '880.i1.b1', '880.j1.b1', '1936.c1.b1', '4840.c1.a1', '4840.f1.b1'], 'contains': ['19360.a1.a1'], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 121, 'diagramx': [1825, -1, 3527, -1, 1874, -1, 2080, -1], 'generators': [4900], 'label': '19360.h.9680.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '121.a1.a1', 'old_label': '9680.c1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9680.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577951
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.g1.a1', '4.h1.a1'], 'contains': ['16.a1.a1', '40.e1.a1', '88.k1.a1', '88.l1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7502, -1, 9084, -1, 6890, -1, 6389, -1], 'generators': [18255, 9680, 40, 2, 1760], 'label': '19360.h.8.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.e1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
  • id: 63577952
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '19360.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1760.a1.a1', '1760.b1.a1', '1760.c1.a1', '1760.d1.a1', '3872.a1.a1', '9680.a1.a1', '9680.b1.a1', '9680.b1.b1', '9680.c1.a1', '9680.c1.b1'], 'contains': [], 'core': '19360.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1645, 7547, 4067, 8077, 1924, 3286, 2049, 3357], 'generators': [], 'label': '19360.h.19360.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '19360.a1.a1', 'normal_contained_in': ['160.a1.a1', '9680.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '19360.a1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19360.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 63577953
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '4.g1.a1', '4.h1.a1'], 'contains': ['16.a1.a1', '40.e1.b1', '88.k1.b1', '88.l1.b1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7502, -1, 8306, -1, 6890, -1, 6996, -1], 'generators': [13415, 9680, 40, 2, 1760], 'label': '19360.h.8.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.e1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.b1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
  • id: 63577954
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1'], 'contains': ['16.b1.a1', '16.c1.a1', '16.c1.b1', '40.f1.a1', '88.q1.a1', '88.q1.c1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1806, -1, 1298, -1, 474, -1, 676, -1], 'generators': [5, 2, 15880, 14580, 1760], 'label': '19360.h.8.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '8.f1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
  • id: 63577955
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1'], 'contains': ['16.b1.b1', '16.c1.a1', '16.c1.b1', '40.f1.b1', '88.q1.b1', '88.q1.d1'], 'core': '16.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1806, -1, 654, -1, 474, -1, 900, -1], 'generators': [5, 2, 15880, 4900, 1760], 'label': '19360.h.8.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '8.f1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.b1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
  • id: 63578003
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '22.b1.a1'], 'contains': ['88.d1.a1', '88.h1.a1', '88.n1.a1', '220.f1.a1', '484.d1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [6647, -1, 7445, -1, 6682, -1, 6243, -1], 'generators': [4840, 2, 9680, 10620, 12360], 'label': '19360.h.44.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '44.f1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.f1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577956
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['9680.c1.b1', '9680.c1.a1', '9680.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.b1', '4.d1.b1', '10.a1.b1', '242.a1.b1'], 'core': '2.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9382, 1204, 6860, 1794, 8377, 6355, 7647, 6021], 'generators': [5, 8840, 2, 60, 10, 1760, 9680], 'label': '19360.h.2.a1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.c1.b1', '4.d1.b1', '10.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.b1', 'projective_image': '9680.ba', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.b1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577957
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '10.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['1936.c1.b1', '1936.c1.a1', '1936.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.c1.a1', '20.d1.a1', '1210.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9557, 637, 9739, 5406, 8894, 9413, 9135, 8193], 'generators': [5, 1760, 9740, 9680, 4850, 40], 'label': '19360.h.10.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '20.c1.a1', '20.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '10.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577958
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '10.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['1936.c1.b1', '1936.c1.a1', '1936.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.c1.b1', '20.d1.b1', '1210.a1.b1'], 'core': '10.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9557, 637, 7410, 1416, 8894, 9413, 8936, 9662], 'generators': [5, 1760, 60, 9680, 10, 40], 'label': '19360.h.10.a1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1.b1', 'normal_contained_in': ['2.a1.b1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '20.c1.b1', '20.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.b1', 'projective_image': '9680.ba', 'quotient_action_image': '10.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '10.a1.b1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577959
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '10.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['1936.c1.b1', '1936.c1.a1', '1936.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.c1', '5.a1.a1'], 'contains': ['20.a1.b1', '20.c1.a1', '20.d1.b1', '1210.a1.c1'], 'core': '10.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9557, 637, 9269, 535, 8894, 9413, 8738, 5975], 'generators': [4845, 1760, 60, 9680, 10, 40], 'label': '19360.h.10.a1.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1.c1', 'normal_contained_in': ['2.a1.c1', '5.a1.a1'], 'normal_contains': ['20.a1.b1', '20.c1.a1', '20.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.c1', 'projective_image': '9680.ba', 'quotient_action_image': '10.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '10.a1.c1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577960
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '10.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['1936.c1.b1', '1936.c1.a1', '1936.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.d1', '5.a1.a1'], 'contains': ['20.a1.b1', '20.c1.b1', '20.d1.a1', '1210.a1.d1'], 'core': '10.a1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [9557, 637, 7756, 3336, 8894, 9413, 9334, 8927], 'generators': [4845, 1760, 9740, 9680, 4850, 40], 'label': '19360.h.10.a1.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1.d1', 'normal_contained_in': ['2.a1.d1', '5.a1.a1'], 'normal_contains': ['20.a1.b1', '20.c1.b1', '20.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.d1', 'projective_image': '9680.ba', 'quotient_action_image': '10.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '10.a1.d1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577961
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.a1.b1', '20.b1.a1', '20.e1.a1', '20.f1.a1', '110.a1.a1'], 'core': '10.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5466, 5052, 5797, 2451, 4320, 4601, 5564, 7454], 'generators': [5, 1760, 60, 9680, 4840, 8840], 'label': '19360.h.10.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1.a1', 'normal_contained_in': ['2.b1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '20.a1.b1', '20.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1.a1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577962
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['1936.b1.a1', '1936.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '5.a1.a1'], 'contains': ['20.b1.a1', '20.c1.a1', '20.c1.b1', '20.g1.a1', '20.h1.a1', '110.b1.a1'], 'core': '10.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8856, 2026, 9522, 6440, 8250, 6845, 8538, 5237], 'generators': [13415, 1760, 60, 9680, 4840, 40], 'label': '19360.h.10.c1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.c1.a1', 'normal_contained_in': ['2.c1.a1', '5.a1.a1'], 'normal_contains': ['20.b1.a1', '20.c1.a1', '20.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '10.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '10.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '10.c1.a1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577963
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': ['1936.b1.a1', '1936.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '5.a1.a1'], 'contains': ['20.b1.a1', '20.d1.a1', '20.d1.b1', '1210.d1.a1'], 'core': '10.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9875, 3657, 8009, 4222, 9529, 8132, 9533, 6713], 'generators': [10, 1760, 20, 9680, 4840, 1800], 'label': '19360.h.10.d1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.d1.a1', 'normal_contained_in': ['2.d1.a1', '5.a1.a1'], 'normal_contains': ['20.b1.a1', '20.d1.a1', '20.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '10.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '10.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '10.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63577964
    {'ambient': '19360.h', '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': '4840.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.d1.a1', '8.d1.b1', '8.e1.a1', '8.e1.b1'], 'contains': ['32.a1.a1', '80.a1.a1', '176.a1.a1', '176.b1.a1', '176.c1.a1', '176.d1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4020, 7474, 5111, 7908, 3575, 2096, 3903, 2695], 'generators': [9680, 8840, 1760, 2], 'label': '19360.h.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normal_contains': ['32.a1.a1', '80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '9680.ba', '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': '4840.bt'}
  • id: 63577965
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': ['1210.a1.b1', '1210.a1.c1', '1210.a1.a1', '1210.a1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.f1.a1'], 'contains': ['32.a1.a1', '80.b1.a1', '176.g1.a1', '176.h1.a1', '176.i1.a1', '176.j1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1806, 8888, 3574, 9465, 649, 1008, 1134, 2068], 'generators': [14580, 15880, 1760, 2], 'label': '19360.h.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '80.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '19360.h', 'quotient_action_image': '8.3', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63577966
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': ['1210.a1.b1', '1210.a1.c1', '1210.a1.a1', '1210.a1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.f1.b1'], 'contains': ['32.a1.a1', '80.b1.b1', '176.g1.b1', '176.h1.b1', '176.i1.b1', '176.j1.b1'], 'core': '16.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1806, 8888, 3413, 8809, 649, 1008, 1282, 1520], 'generators': [4900, 15880, 1760, 2], 'label': '19360.h.16.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.b1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '80.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.b1', 'projective_image': '19360.h', 'quotient_action_image': '8.3', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '16.b1.b1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63577967
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['9680.c1.b1', '9680.c1.a1', '9680.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.b1', '4.c1.a1', '4.d1.b1', '10.a1.c1', '242.a1.c1'], 'core': '2.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9382, 1204, 7735, 574, 8377, 6355, 7372, 1310], 'generators': [4845, 8840, 2, 60, 10, 1760, 9680], 'label': '19360.h.2.a1.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.c1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.b1', '4.c1.a1', '4.d1.b1', '10.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.c1', 'projective_image': '9680.ba', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.c1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577968
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.f1.a1', '8.f1.b1'], 'contains': ['32.a1.a1', '80.c1.a1', '176.e1.a1', '176.f1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [689, -1, 1298, -1, 299, -1, 497, -1], 'generators': [5, 8840, 1760, 2], 'label': '19360.h.16.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '16.c1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
  • id: 63577969
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '8.f1.a1', '8.f1.b1'], 'contains': ['32.a1.a1', '80.c1.b1', '176.e1.b1', '176.f1.b1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [689, -1, 747, -1, 299, -1, 790, -1], 'generators': [4845, 8840, 1760, 2], 'label': '19360.h.16.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '16.c1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1.b1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
  • id: 63577970
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '20.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.a1.a1', '10.a1.b1', '10.b1.a1'], 'contains': ['40.c1.a1', '40.d1.a1', '220.c1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7752, 5318, 6489, 4233, 4439, 5541, 5207, 7428], 'generators': [5, 9680, 8840, 60, 1760], 'label': '19360.h.20.a1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.a1.a1', '10.a1.a1', '10.a1.b1', '10.b1.a1'], 'normal_contains': ['40.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577971
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '20.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '10.a1.c1', '10.a1.d1', '10.b1.a1'], 'contains': ['40.c1.a1', '40.d1.b1', '220.c1.b1'], 'core': '20.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7752, 5318, 6887, 2530, 4439, 5541, 5913, 6461], 'generators': [4845, 9680, 8840, 60, 1760], 'label': '19360.h.20.a1.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.a1.b1', 'normal_contained_in': ['4.a1.b1', '10.a1.c1', '10.a1.d1', '10.b1.a1'], 'normal_contains': ['40.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1.b1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577972
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '20.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '10.b1.a1', '10.c1.a1', '10.d1.a1'], 'contains': ['40.a1.a1', '40.b1.a1', '40.c1.a1', '220.e1.a1', '220.f1.a1', '220.g1.a1', '220.h1.a1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8009, 4200, 6279, 6047, 6317, 4510, 6073, 4948], 'generators': [4840, 9680, 8840, 60, 1760], 'label': '19360.h.20.b1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.b1.a1', 'normal_contained_in': ['4.b1.a1', '10.b1.a1', '10.c1.a1', '10.d1.a1'], 'normal_contains': ['40.a1.a1', '40.b1.a1', '40.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63577973
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['968.f1.b1', '968.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '10.a1.a1', '10.a1.c1', '10.c1.a1'], 'contains': ['40.c1.a1', '40.e1.a1', '220.l1.a1'], 'core': '20.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9114, 1192, 9822, 6759, 8395, 6589, 8986, 5542], 'generators': [18255, 9680, 40, 60, 1760], 'label': '19360.h.20.c1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.c1.a1', 'normal_contained_in': ['4.c1.a1', '10.a1.a1', '10.a1.c1', '10.c1.a1'], 'normal_contains': ['40.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '20.5', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '20.c1.a1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577974
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['968.f1.b1', '968.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '10.a1.b1', '10.a1.d1', '10.c1.a1'], 'contains': ['40.c1.a1', '40.e1.b1', '220.l1.b1'], 'core': '20.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9114, 1192, 7753, 4784, 8395, 6589, 9255, 7888], 'generators': [13415, 9680, 40, 60, 1760], 'label': '19360.h.20.c1.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.c1.b1', 'normal_contained_in': ['4.c1.b1', '10.a1.b1', '10.a1.d1', '10.c1.a1'], 'normal_contains': ['40.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.c1.b1', 'projective_image': '9680.ba', 'quotient_action_image': '20.5', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '20.c1.b1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577975
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': ['968.f1.b1', '968.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '10.a1.a1', '10.a1.d1', '10.d1.a1'], 'contains': ['40.c1.a1', '2420.h1.a1'], 'core': '20.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9557, 3082, 7924, 5334, 9798, 7756, 9802, 6920], 'generators': [4850, 9680, 1800, 9700, 1760], 'label': '19360.h.20.d1.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.d1.a1', 'normal_contained_in': ['4.d1.a1', '10.a1.a1', '10.a1.d1', '10.d1.a1'], 'normal_contains': ['40.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '20.5', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '20.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63577976
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': ['968.f1.b1', '968.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '10.a1.b1', '10.a1.c1', '10.d1.a1'], 'contains': ['40.c1.a1', '2420.h1.b1'], 'core': '20.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9557, 3082, 7471, 1416, 9798, 7756, 9413, 6001], 'generators': [10, 9680, 1800, 20, 1760], 'label': '19360.h.20.d1.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.d1.b1', 'normal_contained_in': ['4.d1.b1', '10.a1.b1', '10.a1.c1', '10.d1.a1'], 'normal_contains': ['40.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.d1.b1', 'projective_image': '9680.ba', 'quotient_action_image': '20.5', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '20.d1.b1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63577977
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '10.b1.a1'], 'contains': ['40.a1.a1', '40.d1.a1', '40.d1.b1', '40.f1.a1', '40.f1.b1', '220.b1.a1', '220.b1.b1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3496, -1, 3961, -1, 2036, -1, 2728, -1], 'generators': [5, 9680, 8840, 4900, 1760], 'label': '19360.h.20.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '20.e1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
  • id: 63577978
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['9680.c1.b1', '9680.c1.a1', '9680.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.b1', '4.c1.b1', '4.d1.a1', '10.a1.d1', '242.a1.d1'], 'core': '2.a1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [9382, 1204, 7158, 4013, 8377, 6355, 8230, 5004], 'generators': [4845, 8840, 2, 9740, 4850, 1760, 9680], 'label': '19360.h.2.a1.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.d1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.b1', '4.c1.b1', '4.d1.a1', '10.a1.d1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.d1', 'projective_image': '9680.ba', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.d1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577979
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '880.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '10.b1.a1'], 'contains': ['40.b1.a1', '40.d1.a1', '40.d1.b1', '220.a1.a1', '220.d1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4632, -1, 4256, -1, 3572, -1, 3702, -1], 'generators': [5, 8840, 9680, 4840, 1760], 'label': '19360.h.20.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '20.f1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577980
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '10.c1.a1'], 'contains': ['40.a1.a1', '40.e1.a1', '40.e1.b1', '220.i1.a1', '220.i1.b1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8856, -1, 9397, -1, 7343, -1, 8628, -1], 'generators': [13415, 9680, 40, 4900, 1760], 'label': '19360.h.20.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '20.g1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.y'}
  • id: 63577981
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '20.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '880.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '10.c1.a1'], 'contains': ['40.b1.a1', '40.e1.a1', '40.e1.b1', '220.j1.a1', '220.k1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8485, -1, 9648, -1, 8018, -1, 8826, -1], 'generators': [13415, 1760, 9680, 4840, 40], 'label': '19360.h.20.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '20.h1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.h1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577982
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '22.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['44.a1.a1', '44.b1.a1', '44.b1.b1', '44.c1.a1', '44.c1.b1', '44.d1.a1', '44.e1.a1', '110.a1.a1', '242.b1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2924, -1, 2280, -1, 3627, -1, 4268, -1], 'generators': [5, 1760, 8980, 2, 4840, 9680], 'label': '19360.h.22.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '22.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.a1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577983
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '22.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['44.f1.a1', '44.i1.a1', '44.i1.b1', '44.j1.a1', '44.k1.a1', '44.l1.a1', '44.l1.b1', '110.b1.a1', '242.c1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7056, -1, 8621, -1, 7961, -1, 7279, -1], 'generators': [3815, 12360, 10620, 2, 4840, 9680], 'label': '19360.h.22.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '22.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22.b1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577984
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': ['605.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.b1.b1', '16.c1.a1', '16.c1.b1'], 'contains': ['160.a1.a1', '352.a1.a1', '352.b1.a1', '352.c1.a1', '352.d1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1015, 8808, 3440, 8773, 1627, 1993, 1798, 2111], 'generators': [2, 1760, 8840], 'label': '19360.h.32.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.b1.a1', '16.b1.b1'], 'normal_contains': ['160.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '19360.h', 'quotient_action_image': '8.3', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63578004
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['88.e1.a1', '88.i1.a1', '88.o1.a1', '220.g1.a1', '484.d1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [4826, -1, 5449, -1, 5660, -1, 5341, -1], 'generators': [4840, 2, 9680, 7100, 7080], 'label': '19360.h.44.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '44.g1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.g1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63577985
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '40.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.b1.a1', '20.e1.a1', '20.g1.a1'], 'contains': ['80.a1.a1', '80.b1.a1', '80.b1.b1', '440.c1.a1', '440.d1.a1', '440.e1.a1', '440.f1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5140, 7998, 4723, 8368, 3850, 3337, 4096, 3410], 'generators': [4900, 8840, 1760, 9680], 'label': '19360.h.40.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': ['8.a1.a1', '20.b1.a1'], 'normal_contains': ['80.a1.a1', '80.b1.a1', '80.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63577986
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '40.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '20.b1.a1', '20.f1.a1', '20.h1.a1'], 'contains': ['80.a1.a1', '440.g1.a1', '440.h1.a1', '440.i1.a1', '440.j1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5825, 6492, 6501, 7408, 5539, 4510, 5253, 4086], 'generators': [4840, 1760, 9680, 8840], 'label': '19360.h.40.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.b1.a1', 'normal_contained_in': ['8.b1.a1', '20.b1.a1'], 'normal_contains': ['80.a1.a1', '4840.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '40.10', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '40.b1.a1', 'subgroup_fusion': None, 'weyl_group': '40.10'}
  • id: 63577987
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '20.a1.a1', '20.a1.b1', '20.b1.a1', '20.c1.a1', '20.c1.b1', '20.d1.a1', '20.d1.b1'], 'contains': ['80.a1.a1', '440.m1.a1', '440.n1.a1', '440.o1.a1', '440.p1.a1'], 'core': '40.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8448, 4837, 6908, 5334, 6735, 5496, 6631, 6001], 'generators': [60, 8840, 1760, 9680], 'label': '19360.h.40.c1.a1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '40.c1.a1', 'normal_contained_in': ['8.c1.a1', '20.a1.a1', '20.a1.b1', '20.b1.a1', '20.c1.a1', '20.c1.b1', '20.d1.a1', '20.d1.b1'], 'normal_contains': ['80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63577988
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '880.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '20.a1.a1', '20.e1.a1', '20.f1.a1'], 'contains': ['80.a1.a1', '80.c1.a1', '440.a1.a1', '440.b1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3548, -1, 4295, -1, 1817, -1, 2746, -1], 'generators': [5, 8840, 1760, 9680], 'label': '19360.h.40.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '40.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577989
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '4.e1.a1', '4.f1.a1', '10.b1.a1', '22.a1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5233, 6072, 4876, 2904, 4035, 1874, 5264, 3062], 'generators': [5, 15880, 60, 2, 4840, 1760, 9680], 'label': '19360.h.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.a1.b1', '4.b1.a1', '10.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63577990
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '880.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '20.a1.b1', '20.e1.a1', '20.f1.a1'], 'contains': ['80.a1.a1', '80.c1.b1', '440.a1.b1', '440.b1.b1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3548, -1, 4111, -1, 1817, -1, 2916, -1], 'generators': [4845, 8840, 1760, 9680], 'label': '19360.h.40.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '40.d1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1.b1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577991
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '880.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '20.c1.a1', '20.g1.a1', '20.h1.a1'], 'contains': ['80.a1.a1', '440.k1.a1', '440.l1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8861, -1, 9648, -1, 8027, -1, 8337, -1], 'generators': [18255, 9680, 40, 1760], 'label': '19360.h.40.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '40.e1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.e1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577992
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '880.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '20.c1.b1', '20.g1.a1', '20.h1.a1'], 'contains': ['80.a1.a1', '440.k1.b1', '440.l1.b1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8861, -1, 8715, -1, 8027, -1, 8970, -1], 'generators': [13415, 9680, 40, 1760], 'label': '19360.h.40.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '40.e1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.e1.b1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577993
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '20.e1.a1'], 'contains': ['80.b1.a1', '80.c1.a1', '80.c1.b1', '440.q1.a1', '440.q1.c1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1971, -1, 1785, -1, 474, -1, 913, -1], 'generators': [5, 8840, 1760, 14580], 'label': '19360.h.40.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '40.f1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
  • id: 63577994
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.b1', '20.e1.a1'], 'contains': ['80.b1.b1', '80.c1.a1', '80.c1.b1', '440.q1.b1', '440.q1.d1'], 'core': '80.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1971, -1, 1581, -1, 474, -1, 1011, -1], 'generators': [5, 8840, 1760, 4900], 'label': '19360.h.40.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '40.f1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1.b1', 'subgroup_fusion': None, 'weyl_group': '2420.x'}
  • id: 63577995
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '22.a1.a1'], 'contains': ['88.a1.a1', '88.a1.b1', '88.g1.a1', '220.a1.a1', '484.b1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2625, -1, 2201, -1, 2455, -1, 3210, -1], 'generators': [5, 2, 9680, 4840, 15880], 'label': '19360.h.44.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '44.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.a1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577996
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '22.a1.a1'], 'contains': ['88.a1.a1', '88.b1.b1', '88.c1.a1', '88.q1.a1', '88.q1.b1', '220.b1.a1', '484.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1580, -1, 959, -1, 1397, -1, 2117, -1], 'generators': [5, 9680, 2, 4900, 15880], 'label': '19360.h.44.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '44.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.b1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577997
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '22.a1.a1'], 'contains': ['88.a1.b1', '88.b1.a1', '88.c1.a1', '88.q1.c1', '88.q1.d1', '220.b1.b1', '484.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1580, -1, 1135, -1, 1397, -1, 1949, -1], 'generators': [5, 9680, 2, 13820, 1760], 'label': '19360.h.44.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '44.b1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.b1.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63577998
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '22.a1.a1'], 'contains': ['88.a1.a1', '88.b1.a1', '88.m1.a1', '220.c1.a1', '484.c1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3894, -1, 2943, -1, 3364, -1, 4206, -1], 'generators': [5, 2, 9680, 8980, 1760], 'label': '19360.h.44.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '44.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.c1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63577999
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.b1', '22.a1.a1'], 'contains': ['88.a1.b1', '88.b1.b1', '88.m1.a1', '220.c1.b1', '484.c1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3894, -1, 2810, -1, 3364, -1, 4329, -1], 'generators': [4845, 2, 9680, 8980, 1760], 'label': '19360.h.44.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '44.c1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.c1.b1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63578000
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': ['9680.b1.a1', '9680.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.c1.a1', '4.c1.b1', '4.g1.a1', '4.h1.a1', '10.c1.a1', '22.b1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7885, 2946, 8551, 7334, 7673, 3314, 7098, 385], 'generators': [13415, 40, 60, 2, 4840, 1760, 9680], 'label': '19360.h.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.c1.a1', '4.c1.b1', '10.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63578001
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '22.a1.a1'], 'contains': ['88.b1.a1', '88.b1.b1', '88.g1.a1', '220.d1.a1', '484.b1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2349, -1, 2575, -1, 2723, -1, 3349, -1], 'generators': [5, 2, 9680, 4840, 1760], 'label': '19360.h.44.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '44.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.d1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63578002
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '22.a1.a1'], 'contains': ['88.c1.a1', '88.g1.a1', '88.m1.a1', '220.e1.a1', '484.d1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [3093, -1, 3198, -1, 4042, -1, 4609, -1], 'generators': [4840, 2, 9680, 8980, 1760], 'label': '19360.h.44.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '44.e1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.e1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63578005
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['88.f1.a1', '88.j1.a1', '88.p1.a1', '220.h1.a1', '484.d1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [5576, -1, 6088, -1, 5865, -1, 5484, -1], 'generators': [4840, 2, 9680, 1820, 8840], 'label': '19360.h.44.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.h1.a1', 'old_label': '44.h1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.h1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63578006
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '22.b1.a1'], 'contains': ['88.d1.a1', '88.k1.a1', '88.l1.b1', '220.i1.a1', '484.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7386, -1, 8558, -1, 7098, -1, 6536, -1], 'generators': [13455, 2, 9680, 13700, 40], 'label': '19360.h.44.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '44.i1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.i1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63578007
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '22.b1.a1'], 'contains': ['88.d1.a1', '88.k1.b1', '88.l1.a1', '220.i1.b1', '484.e1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7386, -1, 8401, -1, 7098, -1, 6679, -1], 'generators': [3815, 2, 9680, 15460, 12360], 'label': '19360.h.44.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '44.i1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.i1.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63578008
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '22.b1.a1'], 'contains': ['88.h1.a1', '88.k1.a1', '88.k1.b1', '220.j1.a1', '484.f1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [6899, -1, 8985, -1, 7607, -1, 6837, -1], 'generators': [3815, 2, 9680, 4840, 12360], 'label': '19360.h.44.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '44.j1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.j1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63578009
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '22.b1.a1'], 'contains': ['88.h1.a1', '88.l1.a1', '88.l1.b1', '220.k1.a1', '484.f1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7181, -1, 8836, -1, 7804, -1, 7123, -1], 'generators': [13455, 2, 9680, 4840, 40], 'label': '19360.h.44.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '44.k1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.k1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63578010
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '22.b1.a1'], 'contains': ['88.k1.a1', '88.l1.a1', '88.n1.a1', '220.l1.a1', '484.g1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8088, -1, 9199, -1, 8232, -1, 7228, -1], 'generators': [8655, 2, 9680, 10620, 12360], 'label': '19360.h.44.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '44.l1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.l1.a1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63578011
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': ['9680.b1.a1', '9680.b1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.d1.a1', '4.d1.b1', '10.d1.a1', '242.d1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9780, 4509, 7429, 5119, 9170, 4755, 8479, 2232], 'generators': [10, 8840, 2, 20, 4840, 1760, 9680], 'label': '19360.h.2.d1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.d1.a1', '4.d1.b1', '10.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63578012
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '44.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '22.b1.a1'], 'contains': ['88.k1.b1', '88.l1.b1', '88.n1.a1', '220.l1.b1', '484.g1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [8088, -1, 7311, -1, 8232, -1, 7478, -1], 'generators': [3815, 2, 9680, 10620, 12360], 'label': '19360.h.44.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '44.l1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44.l1.b1', 'subgroup_fusion': None, 'weyl_group': '440.42'}
  • id: 63578013
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '80.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '40.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '40.a1.a1', '40.b1.a1', '40.c1.a1', '40.d1.a1', '40.d1.b1', '40.e1.a1', '40.e1.b1'], 'contains': ['160.a1.a1', '880.a1.a1', '880.b1.a1', '880.c1.a1', '880.d1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5288, 7196, 5664, 7856, 4347, 3764, 4518, 3633], 'generators': [9680, 1760, 8840], 'label': '19360.h.80.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': ['16.a1.a1', '40.a1.a1', '40.b1.a1', '40.c1.a1'], 'normal_contains': ['160.a1.a1', '9680.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': '40.10', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '80.a1.a1', 'subgroup_fusion': None, 'weyl_group': '40.10'}
  • id: 63578014
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '80.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': ['242.a1.b1', '242.a1.c1', '242.a1.a1', '242.a1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '40.a1.a1', '40.f1.a1'], 'contains': ['160.a1.a1', '880.g1.a1', '880.h1.a1', '880.i1.a1', '880.j1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2000, 9363, 4122, 9241, 1807, 2807, 2002, 3082], 'generators': [14580, 1760, 8840], 'label': '19360.h.80.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.b1.a1', 'normal_contained_in': ['16.b1.a1', '40.a1.a1'], 'normal_contains': ['160.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.b1.a1', 'projective_image': '19360.h', 'quotient_action_image': '40.10', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '80.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63578015
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '80.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': ['242.a1.b1', '242.a1.c1', '242.a1.a1', '242.a1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '40.a1.a1', '40.f1.b1'], 'contains': ['160.a1.a1', '880.g1.b1', '880.h1.b1', '880.i1.b1', '880.j1.b1'], 'core': '80.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2000, 9363, 3474, 8518, 1807, 2807, 2441, 2603], 'generators': [4900, 1760, 8840], 'label': '19360.h.80.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.b1.b1', 'normal_contained_in': ['16.b1.b1', '40.a1.a1'], 'normal_contains': ['160.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.b1.b1', 'projective_image': '19360.h', 'quotient_action_image': '40.10', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '80.b1.b1', 'subgroup_fusion': None, 'weyl_group': '4840.bt'}
  • id: 63578016
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '80.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '880.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '40.d1.a1', '40.f1.a1', '40.f1.b1'], 'contains': ['160.a1.a1', '880.e1.a1', '880.f1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [772, -1, 1652, -1, 1198, -1, 1402, -1], 'generators': [5, 1760, 8840], 'label': '19360.h.80.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '80.c1.a1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.c1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63578017
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '80.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '880.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.b1', '40.d1.b1', '40.f1.a1', '40.f1.b1'], 'contains': ['160.a1.a1', '880.e1.b1', '880.f1.b1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [772, -1, 1431, -1, 1198, -1, 1651, -1], 'generators': [4845, 1760, 8840], 'label': '19360.h.80.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '80.c1.b1', 'projective_image': '19360.h', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.c1.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63578018
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '44.a1.a1', '44.b1.a1', '44.c1.a1'], 'contains': ['176.a1.a1', '176.e1.a1', '440.a1.a1', '968.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1437, -1, 2187, -1, 890, -1, 1759, -1], 'generators': [5, 2, 15880, 9680], 'label': '19360.h.88.a1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '88.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.a1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63578019
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '44.a1.a1', '44.b1.b1', '44.c1.b1'], 'contains': ['176.a1.a1', '176.e1.b1', '440.a1.b1', '968.a1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1437, -1, 1595, -1, 890, -1, 1949, -1], 'generators': [4845, 2, 15880, 9680], 'label': '19360.h.88.a1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '88.a1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.a1.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63578020
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '44.b1.b1', '44.c1.a1', '44.d1.a1'], 'contains': ['176.a1.a1', '176.f1.a1', '440.b1.a1', '968.a1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1759, -1, 2405, -1, 1128, -1, 1591, -1], 'generators': [5, 2, 1760, 9680], 'label': '19360.h.88.b1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '88.b1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.b1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63578021
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '44.b1.a1', '44.c1.b1', '44.d1.a1'], 'contains': ['176.a1.a1', '176.f1.b1', '440.b1.b1', '968.a1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [1759, -1, 1969, -1, 1128, -1, 2117, -1], 'generators': [4845, 2, 1760, 9680], 'label': '19360.h.88.b1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '88.b1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.b1.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63578022
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9680.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.a1.b1', '2.b1.a1'], 'contains': ['8.c1.a1', '8.d1.a1', '20.a1.a1', '44.c1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7546, 4472, 4940, 3950, 4035, 2027, 5164, 3754], 'generators': [5, 1760, 2, 9680, 60, 15880], 'label': '19360.h.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.a1.b1', '2.b1.a1'], 'normal_contains': ['8.c1.a1', '20.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '9680.ba'}
  • id: 63578023
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '44.b1.a1', '44.b1.b1', '44.e1.a1'], 'contains': ['176.a1.a1', '176.g1.a1', '176.g1.b1', '440.c1.a1', '968.b1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2418, -1, 1776, -1, 2040, -1, 2589, -1], 'generators': [13820, 2, 1760, 9680], 'label': '19360.h.88.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '88.c1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.c1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63578024
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2420.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '44.f1.a1', '44.i1.a1', '44.i1.b1'], 'contains': ['176.b1.a1', '176.h1.a1', '176.h1.b1', '440.d1.a1', '968.b1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [6227, -1, 7717, -1, 4482, -1, 4753, -1], 'generators': [15460, 2, 12360, 9680], 'label': '19360.h.88.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '88.d1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.d1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63578025
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '44.g1.a1'], 'contains': ['176.c1.a1', '176.i1.a1', '176.i1.b1', '440.e1.a1', '968.b1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [3461, -1, 4642, -1, 2983, -1, 3072, -1], 'generators': [11940, 2, 7080, 9680], 'label': '19360.h.88.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '88.e1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.e1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63578026
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '44.h1.a1'], 'contains': ['176.d1.a1', '176.j1.a1', '176.j1.b1', '440.f1.a1', '968.b1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [4112, -1, 4920, -1, 3187, -1, 3216, -1], 'generators': [6660, 2, 8840, 9680], 'label': '19360.h.88.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.h1.a1', 'old_label': '88.f1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.f1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63578027
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '44.a1.a1', '44.d1.a1', '44.e1.a1'], 'contains': ['176.a1.a1', '440.g1.a1', '968.c1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [2724, -1, 2685, -1, 2758, -1, 3721, -1], 'generators': [4840, 9680, 1760, 2], 'label': '19360.h.88.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.a1.a1', 'old_label': '88.g1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.g1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63578028
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '44.f1.a1', '44.j1.a1', '44.k1.a1'], 'contains': ['176.b1.a1', '440.h1.a1', '968.c1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [6740, -1, 8484, -1, 6946, -1, 6118, -1], 'generators': [4840, 9680, 12360, 2], 'label': '19360.h.88.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '88.h1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.h1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63578029
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '44.g1.a1'], 'contains': ['176.c1.a1', '440.i1.a1', '968.c1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [4687, -1, 6134, -1, 5053, -1, 4911, -1], 'generators': [4840, 9680, 7080, 2], 'label': '19360.h.88.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.g1.a1', 'old_label': '88.i1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.i1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63578030
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '44.h1.a1'], 'contains': ['176.d1.a1', '440.j1.a1', '968.c1.a1'], 'core': '4840.a1.a1', 'coset_action_label': None, 'count': 44, 'diagramx': [4961, -1, 6504, -1, 5297, -1, 5083, -1], 'generators': [4840, 9680, 8840, 2], 'label': '19360.h.88.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '44.h1.a1', 'old_label': '88.j1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.j1.a1', 'subgroup_fusion': None, 'weyl_group': '110.1'}
  • id: 63578031
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '44.i1.a1', '44.j1.a1', '44.l1.a1'], 'contains': ['176.b1.a1', '440.k1.a1', '968.d1.a1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7499, -1, 9199, -1, 7581, -1, 7055, -1], 'generators': [8655, 9680, 12360, 2], 'label': '19360.h.88.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '88.k1.a1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.k1.a1', 'subgroup_fusion': None, 'weyl_group': '220.7'}
  • id: 63578032
    {'ambient': '19360.h', 'aut_centralizer_order': None, 'aut_label': '88.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4840.d1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '44.i1.b1', '44.j1.a1', '44.l1.b1'], 'contains': ['176.b1.a1', '440.k1.b1', '968.d1.b1'], 'core': '9680.a1.a1', 'coset_action_label': None, 'count': 22, 'diagramx': [7499, -1, 8121, -1, 7581, -1, 7501, -1], 'generators': [3815, 9680, 12360, 2], 'label': '19360.h.88.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '22.b1.a1', 'old_label': '88.k1.b1', 'projective_image': '9680.ba', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88.k1.b1', 'subgroup_fusion': None, 'weyl_group': '220.7'}