Abstract group data - 46448640.a

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '1.1', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 5040, 'aut_gen_orders': [6, 28], 'aut_gens': [[3018528430456326, 2636244400584529], [359811847157448, 1122883256275511], [6941170655286, 2279189508831217]], 'aut_group': '92897280.b', 'aut_hash': 2470600572168111975, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 92897280, 'aut_permdeg': 672, 'aut_perms': [32121198354519394454742328461913086929007006206868723816982527786396826904140011296674252690972951370393599528683916404640101641136017152912254762414321233067927338112229528096469831377727876031277618490710678366121028725141894912180285276267497802341877668181919298493938113477963689935610098745095483282176244558640380215100924869388252595454536744575033168439372810645414735872044491560023298926538123367036127422882941405766339741579406350125618855162012604672861176162231722788947020397579349256206042867090018405191071256890528498872974349134172797669149397909110317553395241007485796817226385348095016770264336561063073505451867957537319421213845209804067792345796094716186569771576999144577599186339863810527123315959240318395293224875329522659276369385677185049523839244463434043992124823050505721589417770133344594537909067432153292660903771747647195798159884405080048282323205720609071612316007083841585119270904997118779811360634054586491246716262949346541167387266549358860838145162734289611433978225561435465628682850232829593617273615210993021545182143995574519505671335812153314302011901838003657581683843277160766392493659234486397614679026476490926859499313265023449548393220717452827742149332331248505877041201187232287949333814568317453344624561175610772270843997482608818875549588955254914696889205035339692727434456735486088081007876068374627200030609064535526001537596618151050714905873445273218546403503838501265896904434265560773012594136697214211960633501744828888012677338078810877776868021392724177058198953379563959260079323692137501552974780973265222686937708131351413672415102915, 76742519126198168537121152348793745883939661435381165042585187056958714799515968169982884109867143341801526242698128576329043126504651360141515525262206466859338004708930173322592271567232325067935694394352644460768914326523703526690915579301333122795479515454724654378152754633213112967723337839346526659266775589492876184681410755268706975267527853122284818767949487671213077930357481230118733729579286040769290638948373847671246858035564478131712123938214903776261822330143910811023701736774399574298983400270900243579704017299200075044326630974620542463377645890371907183978085675903994793557913904940433627312585153273199418940979583294092618188721194502038154053385483150721339731833263666129673285148353036340996536146570489619928014293077148017797565369597181955881217628864333337443012565977378701367008170259608473693824610229015969660651103970738206145814603937617269742728628257951141536943898155878918793150420070104000474739825676972817446087045239227785669514125586231217975830539558624808651062523395193488319253346832690074697540336096930938283508866271760979487763223562531656929573615605782565832533525320307672291761713257067490878614649671980193958511822466601014396180062185703088710515881209698931510843829962919934294968592728840721643973511620335379252531382093873939999618218850734863572111633840532596804449897337457101768230134600891440526620838209315885728663214403560173862046118918363976880184526716316079138415177133783750642361452007029202190345748430367813910735284121349586979084945660453790498387710348747536473649455621767277146999874162596199533873024446115727073067497962], 'aut_phi_ratio': 8.75, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 36, 1, 1], [2, 84, 1, 1], [2, 126, 1, 1], [2, 1512, 1, 1], [2, 7560, 1, 1], [2, 15120, 1, 2], [3, 672, 1, 1], [3, 53760, 1, 1], [3, 143360, 1, 1], [4, 1512, 1, 1], [4, 3024, 1, 1], [4, 7560, 1, 1], [4, 15120, 1, 3], [4, 30240, 1, 1], [4, 60480, 1, 2], [4, 90720, 1, 1], [4, 120960, 1, 2], [4, 362880, 1, 2], [4, 725760, 1, 1], [5, 48384, 1, 1], [6, 672, 1, 1], [6, 4032, 1, 2], [6, 10080, 1, 2], [6, 13440, 1, 1], [6, 53760, 1, 1], [6, 107520, 1, 1], [6, 120960, 1, 2], [6, 161280, 1, 2], [6, 241920, 1, 1], [6, 322560, 1, 1], [6, 430080, 1, 1], [6, 1935360, 1, 1], [7, 1658880, 1, 1], [8, 120960, 1, 2], [8, 362880, 1, 2], [8, 725760, 1, 1], [8, 1451520, 1, 1], [9, 5160960, 2, 1], [10, 48384, 1, 1], [10, 193536, 1, 2], [10, 290304, 1, 1], [10, 580608, 1, 1], [12, 120960, 1, 2], [12, 241920, 1, 3], [12, 483840, 1, 1], [12, 967680, 1, 2], [12, 1935360, 1, 3], [14, 1658880, 1, 1], [14, 1658880, 2, 1], [15, 774144, 2, 1], [20, 580608, 1, 1], [20, 1161216, 1, 1], [24, 967680, 1, 2], [30, 774144, 2, 3]], 'aut_supersolvable': False, 'aut_tex': 'C_2^8.S_9', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 5040, 'autcentquo_group': '92897280.b', 'autcentquo_hash': 2470600572168111975, 'autcentquo_nilpotent': False, 'autcentquo_order': 92897280, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2^8.S_9', 'cc_stats': [[1, 1, 1], [2, 9, 1], [2, 36, 1], [2, 84, 1], [2, 126, 1], [2, 1512, 1], [2, 7560, 1], [2, 15120, 2], [3, 672, 1], [3, 53760, 1], [3, 143360, 1], [4, 1512, 1], [4, 3024, 1], [4, 7560, 1], [4, 15120, 3], [4, 30240, 1], [4, 60480, 2], [4, 90720, 1], [4, 120960, 2], [4, 362880, 2], [4, 725760, 1], [5, 48384, 1], [6, 672, 1], [6, 4032, 2], [6, 10080, 2], [6, 13440, 1], [6, 53760, 1], [6, 107520, 1], [6, 120960, 2], [6, 161280, 2], [6, 241920, 1], [6, 322560, 1], [6, 430080, 1], [6, 1935360, 1], [7, 1658880, 1], [8, 120960, 2], [8, 362880, 2], [8, 725760, 1], [8, 1451520, 1], [9, 5160960, 2], [10, 48384, 1], [10, 193536, 2], [10, 290304, 1], [10, 580608, 1], [12, 120960, 2], [12, 241920, 3], [12, 483840, 1], [12, 967680, 2], [12, 1935360, 3], [14, 1658880, 3], [15, 774144, 2], [20, 580608, 1], [20, 1161216, 1], [24, 967680, 2], [30, 774144, 6]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '46448640.a', 'commutator_count': 1, 'commutator_label': '46448640.a', 'complements_known': False, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '181440.b'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 0, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 36, 1, 1], [2, 84, 1, 1], [2, 126, 1, 1], [2, 1512, 1, 1], [2, 7560, 1, 1], [2, 15120, 1, 2], [3, 672, 1, 1], [3, 53760, 1, 1], [3, 143360, 1, 1], [4, 1512, 1, 1], [4, 3024, 1, 1], [4, 7560, 1, 1], [4, 15120, 1, 3], [4, 30240, 1, 1], [4, 60480, 1, 2], [4, 90720, 1, 1], [4, 120960, 1, 2], [4, 362880, 1, 2], [4, 725760, 1, 1], [5, 48384, 1, 1], [6, 672, 1, 1], [6, 4032, 1, 2], [6, 10080, 1, 2], [6, 13440, 1, 1], [6, 53760, 1, 1], [6, 107520, 1, 1], [6, 120960, 1, 2], [6, 161280, 1, 2], [6, 241920, 1, 1], [6, 322560, 1, 1], [6, 430080, 1, 1], [6, 1935360, 1, 1], [7, 1658880, 1, 1], [8, 120960, 1, 2], [8, 362880, 1, 2], [8, 725760, 1, 1], [8, 1451520, 1, 1], [9, 5160960, 1, 2], [10, 48384, 1, 1], [10, 193536, 1, 2], [10, 290304, 1, 1], [10, 580608, 1, 1], [12, 120960, 1, 2], [12, 241920, 1, 3], [12, 483840, 1, 1], [12, 967680, 1, 2], [12, 1935360, 1, 3], [14, 1658880, 1, 1], [14, 1658880, 2, 1], [15, 774144, 2, 1], [20, 580608, 1, 1], [20, 1161216, 1, 1], [24, 967680, 1, 2], [30, 774144, 2, 3]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 2520, 'exponents_of_order': [14, 4, 1, 1], 'factors_of_aut_order': [2, 3, 5, 7], 'factors_of_order': [2, 3, 5, 7], 'faithful_reps': [[9, 1, 1], [36, 1, 2], [63, 1, 1], [84, 1, 2], [126, 1, 3], [168, 1, 1], [180, 1, 1], [189, 0, 2], [189, 1, 1], [216, 1, 2], [252, 1, 2], [315, 1, 1], [378, 1, 2], [405, 0, 2], [420, 1, 4], [504, 1, 7], [540, 1, 2], [576, 1, 1], [630, 1, 3], [720, 1, 1], [756, 0, 2], [756, 1, 5], [840, 1, 4], [1008, 1, 1], [1260, 1, 3], [1344, 0, 2], [1344, 1, 1], [1512, 1, 3], [1680, 1, 1], [1890, 1, 2], [2268, 1, 1]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '46448640.a', 'hash': 3081077742121420989, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 2520, 'inner_gen_orders': [14, 9], 'inner_gens': [[3018528430456326, 3773076441155279], [3388130597744496, 2636244400584529]], 'inner_hash': 3081077742121420989, 'inner_nilpotent': False, 'inner_order': 46448640, 'inner_split': True, 'inner_tex': 'C_2^8.A_9', 'inner_used': [1, 2], 'irrC_degree': 9, 'irrQ_degree': 9, 'irrQ_dim': 9, 'irrR_degree': 9, 'irrep_stats': [[1, 1], [8, 1], [9, 1], [21, 2], [27, 1], [28, 1], [35, 2], [36, 2], [42, 1], [48, 1], [56, 1], [63, 1], [84, 3], [105, 1], [120, 1], [126, 3], [162, 1], [168, 2], [180, 1], [189, 4], [216, 3], [252, 2], [315, 1], [378, 2], [405, 2], [420, 4], [504, 7], [540, 2], [576, 1], [630, 3], [720, 1], [756, 7], [840, 4], [1008, 1], [1260, 3], [1344, 3], [1512, 3], [1680, 1], [1890, 2], [2268, 1]], 'label': '46448640.a', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'C2^8.A9', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 78, 'number_characteristic_subgroups': 3, 'number_conjugacy_classes': 84, 'number_divisions': 79, 'number_normal_subgroups': 3, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 46448640, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 39567], [3, 197792], [4, 1992816], [5, 48384], [6, 3698016], [7, 1658880], [8, 3144960], [9, 10321920], [10, 1306368], [12, 9192960], [14, 4976640], [15, 1548288], [20, 1741824], [24, 1935360], [30, 4644864]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': True, 'outer_exponent': 2, 'outer_gen_orders': [2], 'outer_gen_pows': [1110215538432414], 'outer_gens': [[1124217887771521, 4881897170829937]], 'outer_group': '2.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 2, 'outer_permdeg': 2, 'outer_perms': [1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2', 'pc_rank': None, 'perfect': True, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [8, 1], [9, 1], [27, 1], [28, 1], [35, 2], [36, 2], [42, 2], [48, 1], [56, 1], [63, 1], [84, 3], [105, 1], [120, 1], [126, 3], [162, 1], [168, 2], [180, 1], [189, 2], [216, 3], [252, 2], [315, 1], [378, 3], [420, 4], [504, 7], [540, 2], [576, 1], [630, 3], [720, 1], [756, 5], [810, 1], [840, 4], [1008, 1], [1260, 3], [1344, 1], [1512, 4], [1680, 1], [1890, 2], [2268, 1], [2688, 1]], 'representations': {'Perm': {'d': 18, 'gens': [2636244400584529, 3018528430456326]}}, 'schur_multiplier': [2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 13440, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2^8.A_9', 'transitive_degree': 18, '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: 110343056
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 1, 'group_order': 46448640, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 110343067
    {'aut_label': '2A', 'centralizer': '9.a1', 'counter': 2, 'group_counter': 1, 'group_order': 46448640, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 357001369769646, 'size': 9}
  • id: 110343078
    {'aut_label': '2B', 'centralizer': '36.a1', 'counter': 3, 'group_counter': 1, 'group_order': 46448640, 'label': '2B', 'order': 2, 'powers': [1, 3, 3, 3], 'representative': 355687428096001, 'size': 36}
  • id: 110343089
    {'aut_label': '2C', 'centralizer': '84.a1', 'counter': 4, 'group_counter': 1, 'group_order': 46448640, 'label': '2C', 'order': 2, 'powers': [1, 4, 4, 4], 'representative': 40284847, 'size': 84}
  • id: 110343100
    {'aut_label': '2D', 'centralizer': '126.a1', 'counter': 5, 'group_counter': 1, 'group_order': 46448640, 'label': '2D', 'order': 2, 'powers': [1, 5, 5, 5], 'representative': 1313901751681, 'size': 126}
  • id: 110343111
    {'aut_label': '2E', 'centralizer': '1512.D', 'counter': 6, 'group_counter': 1, 'group_order': 46448640, 'label': '2E', 'order': 2, 'powers': [1, 6, 6, 6], 'representative': 1509231053445425, 'size': 1512}
  • id: 110343122
    {'aut_label': '2F', 'centralizer': '7560.CM', 'counter': 7, 'group_counter': 1, 'group_order': 46448640, 'label': '2F', 'order': 2, 'powers': [1, 7, 7, 7], 'representative': 359791511362151, 'size': 7560}
  • id: 110343133
    {'aut_label': '2G', 'centralizer': None, 'counter': 8, 'group_counter': 1, 'group_order': 46448640, 'label': '2G', 'order': 2, 'powers': [1, 8, 8, 8], 'representative': 2633467972250574, 'size': 15120}
  • id: 110343139
    {'aut_label': '2H', 'centralizer': None, 'counter': 9, 'group_counter': 1, 'group_order': 46448640, 'label': '2H', 'order': 2, 'powers': [1, 9, 9, 9], 'representative': 6029874756484558, 'size': 15120}
  • id: 110343057
    {'aut_label': '3A', 'centralizer': '672.A', 'counter': 10, 'group_counter': 1, 'group_order': 46448640, 'label': '3A', 'order': 3, 'powers': [10, 1, 10, 10], 'representative': 583, 'size': 672}
  • id: 110343058
    {'aut_label': '3B', 'centralizer': None, 'counter': 11, 'group_counter': 1, 'group_order': 46448640, 'label': '3B', 'order': 3, 'powers': [11, 1, 11, 11], 'representative': 3371372289733697, 'size': 53760}
  • id: 110343059
    {'aut_label': '3C', 'centralizer': None, 'counter': 12, 'group_counter': 1, 'group_order': 46448640, 'label': '3C', 'order': 3, 'powers': [12, 1, 12, 12], 'representative': 6398189451388783, 'size': 143360}
  • id: 110343060
    {'aut_label': '4A', 'centralizer': '1512.A', 'counter': 13, 'group_counter': 1, 'group_order': 46448640, 'label': '4A', 'order': 4, 'powers': [5, 13, 13, 13], 'representative': 18132781386816, 'size': 1512}
  • id: 110343061
    {'aut_label': '4B', 'centralizer': '3024.Z', 'counter': 14, 'group_counter': 1, 'group_order': 46448640, 'label': '4B', 'order': 4, 'powers': [3, 14, 14, 14], 'representative': 6385568372052472, 'size': 3024}
  • id: 110343062
    {'aut_label': '4C', 'centralizer': '7560.CJ', 'counter': 15, 'group_counter': 1, 'group_order': 46448640, 'label': '4C', 'order': 4, 'powers': [5, 15, 15, 15], 'representative': 754528150644169, 'size': 7560}
  • id: 110343063
    {'aut_label': '4D', 'centralizer': None, 'counter': 16, 'group_counter': 1, 'group_order': 46448640, 'label': '4D', 'order': 4, 'powers': [2, 16, 16, 16], 'representative': 4877873475188401, 'size': 15120}
  • id: 110343064
    {'aut_label': '4E', 'centralizer': None, 'counter': 17, 'group_counter': 1, 'group_order': 46448640, 'label': '4E', 'order': 4, 'powers': [5, 17, 17, 17], 'representative': 19568348731865, 'size': 15120}
  • id: 110343065
    {'aut_label': '4F', 'centralizer': None, 'counter': 18, 'group_counter': 1, 'group_order': 46448640, 'label': '4F', 'order': 4, 'powers': [3, 18, 18, 18], 'representative': 42348097, 'size': 15120}
  • id: 110343066
    {'aut_label': '4G', 'centralizer': None, 'counter': 19, 'group_counter': 1, 'group_order': 46448640, 'label': '4G', 'order': 4, 'powers': [3, 19, 19, 19], 'representative': 67188436537, 'size': 30240}
  • id: 110343068
    {'aut_label': '4H', 'centralizer': None, 'counter': 20, 'group_counter': 1, 'group_order': 46448640, 'label': '4H', 'order': 4, 'powers': [4, 20, 20, 20], 'representative': 4533311555515561, 'size': 60480}
  • id: 110343069
    {'aut_label': '4I', 'centralizer': None, 'counter': 21, 'group_counter': 1, 'group_order': 46448640, 'label': '4I', 'order': 4, 'powers': [3, 21, 21, 21], 'representative': 4139869004012142, 'size': 60480}
  • id: 110343070
    {'aut_label': '4J', 'centralizer': None, 'counter': 22, 'group_counter': 1, 'group_order': 46448640, 'label': '4J', 'order': 4, 'powers': [5, 22, 22, 22], 'representative': 754528328029438, 'size': 90720}
  • id: 110343071
    {'aut_label': '4K', 'centralizer': None, 'counter': 23, 'group_counter': 1, 'group_order': 46448640, 'label': '4K', 'order': 4, 'powers': [9, 23, 23, 23], 'representative': 2274950997434455, 'size': 120960}
  • id: 110343072
    {'aut_label': '4L', 'centralizer': None, 'counter': 24, 'group_counter': 1, 'group_order': 46448640, 'label': '4L', 'order': 4, 'powers': [6, 24, 24, 24], 'representative': 18059407873321, 'size': 120960}
  • id: 110343073
    {'aut_label': '4M', 'centralizer': None, 'counter': 25, 'group_counter': 1, 'group_order': 46448640, 'label': '4M', 'order': 4, 'powers': [6, 25, 25, 25], 'representative': 6042534986481846, 'size': 362880}
  • id: 110343074
    {'aut_label': '4N', 'centralizer': None, 'counter': 26, 'group_counter': 1, 'group_order': 46448640, 'label': '4N', 'order': 4, 'powers': [9, 26, 26, 26], 'representative': 369649581650231, 'size': 362880}
  • id: 110343075
    {'aut_label': '4O', 'centralizer': None, 'counter': 27, 'group_counter': 1, 'group_order': 46448640, 'label': '4O', 'order': 4, 'powers': [8, 27, 27, 27], 'representative': 5642225820403902, 'size': 725760}
  • id: 110343076
    {'aut_label': '5A', 'centralizer': None, 'counter': 28, 'group_counter': 1, 'group_order': 46448640, 'label': '5A', 'order': 5, 'powers': [28, 28, 1, 28], 'representative': 4529005760978040, 'size': 48384}
  • id: 110343077
    {'aut_label': '6A', 'centralizer': '672.A', 'counter': 29, 'group_counter': 1, 'group_order': 46448640, 'label': '6A', 'order': 6, 'powers': [10, 4, 29, 29], 'representative': 365383857852847, 'size': 672}
  • id: 110343079
    {'aut_label': '6B', 'centralizer': '4032.G', 'counter': 30, 'group_counter': 1, 'group_order': 46448640, 'label': '6B', 'order': 6, 'powers': [10, 2, 30, 30], 'representative': 357001370231454, 'size': 4032}
  • id: 110343080
    {'aut_label': '6C', 'centralizer': '4032.G', 'counter': 31, 'group_counter': 1, 'group_order': 46448640, 'label': '6C', 'order': 6, 'powers': [10, 5, 31, 31], 'representative': 4877813248732926, 'size': 4032}
  • id: 110343081
    {'aut_label': '6D', 'centralizer': '10080.EH', 'counter': 32, 'group_counter': 1, 'group_order': 46448640, 'label': '6D', 'order': 6, 'powers': [10, 5, 32, 32], 'representative': 5632347539721889, 'size': 10080}
  • id: 110343082
    {'aut_label': '6E', 'centralizer': '10080.EH', 'counter': 33, 'group_counter': 1, 'group_order': 46448640, 'label': '6E', 'order': 6, 'powers': [10, 3, 33, 33], 'representative': 261290161, 'size': 10080}
  • id: 110343083
    {'aut_label': '6F', 'centralizer': '13440.H', 'counter': 34, 'group_counter': 1, 'group_order': 46448640, 'label': '6F', 'order': 6, 'powers': [10, 4, 34, 34], 'representative': 40285025, 'size': 13440}
  • id: 110343084
    {'aut_label': '6G', 'centralizer': None, 'counter': 35, 'group_counter': 1, 'group_order': 46448640, 'label': '6G', 'order': 6, 'powers': [11, 4, 35, 35], 'representative': 5273864226921168, 'size': 53760}
  • id: 110343085
    {'aut_label': '6H', 'centralizer': None, 'counter': 36, 'group_counter': 1, 'group_order': 46448640, 'label': '6H', 'order': 6, 'powers': [11, 4, 36, 36], 'representative': 2619479605870079, 'size': 107520}
  • id: 110343086
    {'aut_label': '6I', 'centralizer': None, 'counter': 37, 'group_counter': 1, 'group_order': 46448640, 'label': '6I', 'order': 6, 'powers': [10, 9, 37, 37], 'representative': 6029907808752718, 'size': 120960}
  • id: 110343087
    {'aut_label': '6J', 'centralizer': None, 'counter': 38, 'group_counter': 1, 'group_order': 46448640, 'label': '6J', 'order': 6, 'powers': [10, 6, 38, 38], 'representative': 1871838141828768, 'size': 120960}
  • id: 110343088
    {'aut_label': '6K', 'centralizer': None, 'counter': 39, 'group_counter': 1, 'group_order': 46448640, 'label': '6K', 'order': 6, 'powers': [11, 2, 39, 39], 'representative': 2618158167492358, 'size': 161280}
  • id: 110343090
    {'aut_label': '6L', 'centralizer': None, 'counter': 40, 'group_counter': 1, 'group_order': 46448640, 'label': '6L', 'order': 6, 'powers': [11, 3, 40, 40], 'representative': 5647785243171823, 'size': 161280}
  • id: 110343091
    {'aut_label': '6M', 'centralizer': None, 'counter': 41, 'group_counter': 1, 'group_order': 46448640, 'label': '6M', 'order': 6, 'powers': [10, 7, 41, 41], 'representative': 5279450251247879, 'size': 241920}
  • id: 110343092
    {'aut_label': '6N', 'centralizer': None, 'counter': 42, 'group_counter': 1, 'group_order': 46448640, 'label': '6N', 'order': 6, 'powers': [11, 5, 42, 42], 'representative': 355701231665142, 'size': 322560}
  • id: 110343093
    {'aut_label': '6O', 'centralizer': None, 'counter': 43, 'group_counter': 1, 'group_order': 46448640, 'label': '6O', 'order': 6, 'powers': [12, 4, 43, 43], 'representative': 1870571141124168, 'size': 430080}
  • id: 110343094
    {'aut_label': '6P', 'centralizer': None, 'counter': 44, 'group_counter': 1, 'group_order': 46448640, 'label': '6P', 'order': 6, 'powers': [11, 8, 44, 44], 'representative': 768476988103254, 'size': 1935360}
  • id: 110343095
    {'aut_label': '7A', 'centralizer': None, 'counter': 45, 'group_counter': 1, 'group_order': 46448640, 'label': '7A', 'order': 7, 'powers': [45, 45, 45, 1], 'representative': 3378265990813008, 'size': 1658880}
  • id: 110343096
    {'aut_label': '8A', 'centralizer': None, 'counter': 46, 'group_counter': 1, 'group_order': 46448640, 'label': '8A', 'order': 8, 'powers': [17, 46, 46, 46], 'representative': 4184166095585, 'size': 120960}
  • id: 110343097
    {'aut_label': '8B', 'centralizer': None, 'counter': 47, 'group_counter': 1, 'group_order': 46448640, 'label': '8B', 'order': 8, 'powers': [13, 47, 47, 47], 'representative': 359851996639151, 'size': 120960}
  • id: 110343098
    {'aut_label': '8C', 'centralizer': None, 'counter': 48, 'group_counter': 1, 'group_order': 46448640, 'label': '8C', 'order': 8, 'powers': [13, 48, 48, 48], 'representative': 4877819864047433, 'size': 362880}
  • id: 110343099
    {'aut_label': '8D', 'centralizer': None, 'counter': 49, 'group_counter': 1, 'group_order': 46448640, 'label': '8D', 'order': 8, 'powers': [17, 49, 49, 49], 'representative': 5273870493847264, 'size': 362880}
  • id: 110343101
    {'aut_label': '8E', 'centralizer': None, 'counter': 50, 'group_counter': 1, 'group_order': 46448640, 'label': '8E', 'order': 8, 'powers': [16, 50, 50, 50], 'representative': 1883017948112776, 'size': 725760}
  • id: 110343102
    {'aut_label': '8F', 'centralizer': None, 'counter': 51, 'group_counter': 1, 'group_order': 46448640, 'label': '8F', 'order': 8, 'powers': [22, 51, 51, 51], 'representative': 3388130636889185, 'size': 1451520}
  • id: 110343103
    {'aut_label': '9A', 'centralizer': None, 'counter': 52, 'group_counter': 1, 'group_order': 46448640, 'label': '9A', 'order': 9, 'powers': [52, 12, 52, 52], 'representative': 4530494976174288, 'size': 5160960}
  • id: 110343104
    {'aut_label': '9A', 'centralizer': None, 'counter': 53, 'group_counter': 1, 'group_order': 46448640, 'label': '9B', 'order': 9, 'powers': [53, 12, 53, 53], 'representative': 3025402105023336, 'size': 5160960}
  • id: 110343105
    {'aut_label': '10A', 'centralizer': None, 'counter': 54, 'group_counter': 1, 'group_order': 46448640, 'label': '10A', 'order': 10, 'powers': [28, 54, 5, 54], 'representative': 358490760767710, 'size': 48384}
  • id: 110343106
    {'aut_label': '10B', 'centralizer': None, 'counter': 55, 'group_counter': 1, 'group_order': 46448640, 'label': '10B', 'order': 10, 'powers': [28, 55, 2, 55], 'representative': 2615355265397046, 'size': 193536}
  • id: 110343107
    {'aut_label': '10C', 'centralizer': None, 'counter': 56, 'group_counter': 1, 'group_order': 46448640, 'label': '10C', 'order': 10, 'powers': [28, 56, 4, 56], 'representative': 4124666188350743, 'size': 193536}
  • id: 110343108
    {'aut_label': '10D', 'centralizer': None, 'counter': 57, 'group_counter': 1, 'group_order': 46448640, 'label': '10D', 'order': 10, 'powers': [28, 57, 3, 57], 'representative': 370997452586881, 'size': 290304}
  • id: 110343109
    {'aut_label': '10E', 'centralizer': None, 'counter': 58, 'group_counter': 1, 'group_order': 46448640, 'label': '10E', 'order': 10, 'powers': [28, 58, 6, 58], 'representative': 1514810465268463, 'size': 580608}
  • id: 110343110
    {'aut_label': '12A', 'centralizer': None, 'counter': 59, 'group_counter': 1, 'group_order': 46448640, 'label': '12A', 'order': 12, 'powers': [32, 17, 59, 59], 'representative': 2636231247849582, 'size': 120960}
  • id: 110343112
    {'aut_label': '12B', 'centralizer': None, 'counter': 60, 'group_counter': 1, 'group_order': 46448640, 'label': '12B', 'order': 12, 'powers': [32, 13, 60, 60], 'representative': 4891828790454343, 'size': 120960}
  • id: 110343113
    {'aut_label': '12C', 'centralizer': None, 'counter': 61, 'group_counter': 1, 'group_order': 46448640, 'label': '12C', 'order': 12, 'powers': [33, 19, 61, 61], 'representative': 67277145288, 'size': 241920}
  • id: 110343114
    {'aut_label': '12D', 'centralizer': None, 'counter': 62, 'group_counter': 1, 'group_order': 46448640, 'label': '12D', 'order': 12, 'powers': [33, 14, 62, 62], 'representative': 768523449645367, 'size': 241920}
  • id: 110343115
    {'aut_label': '12E', 'centralizer': None, 'counter': 63, 'group_counter': 1, 'group_order': 46448640, 'label': '12E', 'order': 12, 'powers': [32, 15, 63, 63], 'representative': 1108908300723847, 'size': 241920}
  • id: 110343116
    {'aut_label': '12F', 'centralizer': None, 'counter': 64, 'group_counter': 1, 'group_order': 46448640, 'label': '12F', 'order': 12, 'powers': [33, 18, 64, 64], 'representative': 1120080226815336, 'size': 483840}
  • id: 110343117
    {'aut_label': '12G', 'centralizer': None, 'counter': 65, 'group_counter': 1, 'group_order': 46448640, 'label': '12G', 'order': 12, 'powers': [37, 23, 65, 65], 'representative': 5645041999856782, 'size': 967680}
  • id: 110343118
    {'aut_label': '12H', 'centralizer': None, 'counter': 66, 'group_counter': 1, 'group_order': 46448640, 'label': '12H', 'order': 12, 'powers': [38, 24, 66, 66], 'representative': 2274923865351895, 'size': 967680}
  • id: 110343119
    {'aut_label': '12I', 'centralizer': None, 'counter': 67, 'group_counter': 1, 'group_order': 46448640, 'label': '12I', 'order': 12, 'powers': [39, 16, 67, 67], 'representative': 3768959297001478, 'size': 1935360}
  • id: 110343120
    {'aut_label': '12J', 'centralizer': None, 'counter': 68, 'group_counter': 1, 'group_order': 46448640, 'label': '12J', 'order': 12, 'powers': [35, 20, 68, 68], 'representative': 4132988839917361, 'size': 1935360}
  • id: 110343121
    {'aut_label': '12K', 'centralizer': None, 'counter': 69, 'group_counter': 1, 'group_order': 46448640, 'label': '12K', 'order': 12, 'powers': [40, 21, 69, 69], 'representative': 6025783129596721, 'size': 1935360}
  • id: 110343123
    {'aut_label': '14A', 'centralizer': None, 'counter': 70, 'group_counter': 1, 'group_order': 46448640, 'label': '14A', 'order': 14, 'powers': [45, 70, 70, 3], 'representative': 6041079866264094, 'size': 1658880}
  • id: 110343124
    {'aut_label': '14B1', 'centralizer': None, 'counter': 71, 'group_counter': 1, 'group_order': 46448640, 'label': '14B1', 'order': 14, 'powers': [45, 72, 72, 2], 'representative': 2615389149104328, 'size': 1658880}
  • id: 110343125
    {'aut_label': '14B1', 'centralizer': None, 'counter': 72, 'group_counter': 1, 'group_order': 46448640, 'label': '14B-1', 'order': 14, 'powers': [45, 71, 71, 2], 'representative': 765754032557214, 'size': 1658880}
  • id: 110343126
    {'aut_label': '15A1', 'centralizer': None, 'counter': 73, 'group_counter': 1, 'group_order': 46448640, 'label': '15A1', 'order': 15, 'powers': [73, 28, 10, 74], 'representative': 1111757446586160, 'size': 774144}
  • id: 110343127
    {'aut_label': '15A1', 'centralizer': None, 'counter': 74, 'group_counter': 1, 'group_order': 46448640, 'label': '15A-1', 'order': 15, 'powers': [74, 28, 10, 73], 'representative': 2260969245981486, 'size': 774144}
  • id: 110343128
    {'aut_label': '20A', 'centralizer': None, 'counter': 75, 'group_counter': 1, 'group_order': 46448640, 'label': '20A', 'order': 20, 'powers': [54, 75, 13, 75], 'representative': 4531835749185343, 'size': 580608}
  • id: 110343129
    {'aut_label': '20B', 'centralizer': None, 'counter': 76, 'group_counter': 1, 'group_order': 46448640, 'label': '20B', 'order': 20, 'powers': [57, 76, 14, 76], 'representative': 6388405497354832, 'size': 1161216}
  • id: 110343130
    {'aut_label': '24A', 'centralizer': None, 'counter': 77, 'group_counter': 1, 'group_order': 46448640, 'label': '24A', 'order': 24, 'powers': [59, 46, 77, 77], 'representative': 5640710430736072, 'size': 967680}
  • id: 110343131
    {'aut_label': '24B', 'centralizer': None, 'counter': 78, 'group_counter': 1, 'group_order': 46448640, 'label': '24B', 'order': 24, 'powers': [60, 47, 78, 78], 'representative': 2279203047901446, 'size': 967680}
  • id: 110343132
    {'aut_label': '30A1', 'centralizer': None, 'counter': 79, 'group_counter': 1, 'group_order': 46448640, 'label': '30A1', 'order': 30, 'powers': [73, 55, 30, 80], 'representative': 4883379249744000, 'size': 774144}
  • id: 110343134
    {'aut_label': '30A1', 'centralizer': None, 'counter': 80, 'group_counter': 1, 'group_order': 46448640, 'label': '30A-1', 'order': 30, 'powers': [74, 55, 30, 79], 'representative': 1520416311344766, 'size': 774144}
  • id: 110343135
    {'aut_label': '30B1', 'centralizer': None, 'counter': 81, 'group_counter': 1, 'group_order': 46448640, 'label': '30B1', 'order': 30, 'powers': [74, 54, 31, 82], 'representative': 3376985189333182, 'size': 774144}
  • id: 110343136
    {'aut_label': '30B1', 'centralizer': None, 'counter': 82, 'group_counter': 1, 'group_order': 46448640, 'label': '30B-1', 'order': 30, 'powers': [73, 54, 31, 81], 'representative': 4890346804592350, 'size': 774144}
  • id: 110343137
    {'aut_label': '30C1', 'centralizer': None, 'counter': 83, 'group_counter': 1, 'group_order': 46448640, 'label': '30C1', 'order': 30, 'powers': [74, 56, 29, 84], 'representative': 1512080373076150, 'size': 774144}
  • id: 110343138
    {'aut_label': '30C1', 'centralizer': None, 'counter': 84, 'group_counter': 1, 'group_order': 46448640, 'label': '30C-1', 'order': 30, 'powers': [73, 56, 29, 83], 'representative': 6038229984578062, 'size': 774144}
• 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: 4591406
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.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], 'schur_index': 1}
  • id: 4591417
    {'cdim': 8, 'counter': 2, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.8a', 'multiplicity': 1, 'nt': [9, 33], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 4, 4, 0, 4, 5, 2, -1, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 2, 2, 2, 2, 0, 3, 5, 5, 5, 5, 5, 5, 2, 2, 1, 1, 2, 2, 1, 2, -1, 0, 1, 2, 2, 2, 2, 0, 0, -1, -1, 3, 3, 3, 3, -1, 1, 1, 1, 1, 1, 1, -1, -1, 0, 0, 0, 1, 1, 1, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591428
    {'cdim': 9, 'counter': 3, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.9a', 'multiplicity': 1, 'nt': [18, 963], 'qdim': 9, 'qvalues': [9, -7, 5, -3, 1, 5, -3, 1, 1, 6, 3, 0, 5, -5, -3, 3, 1, 1, -1, -1, -1, 1, -3, 3, -1, 1, 1, 4, -6, -4, 4, -2, 2, 0, 3, -3, -2, 2, -1, -1, 0, 1, 0, 1, 2, 3, -3, 1, -1, 1, -1, 0, 0, -4, -2, 2, 0, 0, -2, 2, -2, 0, 2, 0, 0, 0, 1, -1, -1, 0, -2, 0, 1, 1, 0, 0, 0, 0, -1, -1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 4591450
    {'cdim': 27, 'counter': 5, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.27a', 'multiplicity': 1, 'nt': [36, 23796], 'qdim': 27, 'qvalues': [27, 27, 27, 27, 27, 7, 7, 3, 7, 9, 0, 0, 7, 7, 7, 7, 3, 7, 7, 3, 3, 3, 1, 1, 1, 1, -1, 2, 9, 9, 9, 9, 9, 9, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, -1, 1, 1, 1, 1, -1, -1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, -1, 2, 2, 1, 1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4591461
    {'cdim': 28, 'counter': 6, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.28a', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 28, 'qvalues': [28, 28, 28, 28, 28, 4, 4, -4, 4, 10, 1, 1, 4, 4, 4, 4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 3, 10, 10, 10, 10, 10, 10, 1, 1, -2, -2, 1, 1, -2, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 3, 3, 3, -1, -2, -2, -2, -2, -2, -2, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591472
    {'cdim': 35, 'counter': 7, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.35a', 'multiplicity': 1, 'nt': [120, 0], 'qdim': 35, 'qvalues': [35, 35, 35, 35, 35, -5, -5, 3, -5, 5, 2, -1, -5, -5, -5, -5, 3, -5, -5, 3, 3, 3, -1, -1, -1, -1, -1, 0, 5, 5, 5, 5, 5, 5, 2, 2, 1, 1, 2, 2, 1, 2, -1, 0, 0, -1, -1, -1, -1, -1, -1, -1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591483
    {'cdim': 35, 'counter': 8, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.35b', 'multiplicity': 1, 'nt': [120, 0], 'qdim': 35, 'qvalues': [35, 35, 35, 35, 35, -5, -5, 3, -5, 5, 2, -1, -5, -5, -5, -5, 3, -5, -5, 3, 3, 3, -1, -1, -1, -1, -1, 0, 5, 5, 5, 5, 5, 5, 2, 2, 1, 1, 2, 2, 1, 2, -1, 0, 0, -1, -1, -1, -1, -1, -1, 2, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591484
    {'cdim': 36, 'counter': 9, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.36a', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 36, 'qvalues': [36, 20, 8, 0, -4, 8, 0, -4, -4, 15, 3, 0, 12, 10, 4, 2, 4, 0, -2, 2, -2, 0, 4, 2, -2, 0, 0, 6, 15, 5, 5, -1, -1, -3, 3, 3, -1, -1, -1, -1, -3, -1, 0, -1, 1, 4, 2, -2, 0, 0, 0, 0, 0, 6, 0, 0, -2, -2, 3, 3, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 0, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591407
    {'cdim': 36, 'counter': 10, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.36b', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 36, 'qvalues': [36, 20, 8, 0, -4, 12, 4, 4, 0, 15, 3, 0, 8, 10, 0, 2, -4, -4, -2, -2, 2, 0, 2, 4, 0, -2, 0, 6, 15, 5, 5, -1, -1, -3, 3, 3, 3, 3, -1, -1, 1, -1, 0, 1, 1, 2, 4, 0, -2, 0, 0, 0, 0, 6, 0, 0, -2, 2, -1, -1, 1, -3, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 0, 0, -2, 0, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591439
    {'cdim': 21, 'counter': 4, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.21a', 'multiplicity': 2, 'nt': [560, 0], 'qdim': 42, 'qvalues': [42, 42, 42, 42, 42, 2, 2, -6, 2, -6, 0, 6, 2, 2, 2, 2, -6, 2, 2, -6, -6, -6, -2, -2, -2, -2, 2, 2, -6, -6, -6, -6, -6, -6, 0, 0, 2, 2, 0, 0, 2, 0, 6, 0, 0, -2, -2, -2, -2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, -1, -1, 2, 2, -2, -2, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4591408
    {'cdim': 42, 'counter': 11, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.42a', 'multiplicity': 1, 'nt': [126, 0], 'qdim': 42, 'qvalues': [42, 42, 42, 42, 42, 6, 6, 2, 6, 0, 3, -3, 6, 6, 6, 6, 2, 6, 6, 2, 2, 2, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, -3, -1, 0, 0, 0, 0, 0, 2, 2, 0, 0, -3, -3, -3, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591409
    {'cdim': 48, 'counter': 12, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.48a', 'multiplicity': 1, 'nt': [84, 0], 'qdim': 48, 'qvalues': [48, 48, 48, 48, 48, 8, 8, 0, 8, 6, 0, 3, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -2, 6, 6, 6, 6, 6, 6, 0, 0, 2, 2, 0, 0, 2, 0, 3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, -2, -2, 0, 0, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4591410
    {'cdim': 56, 'counter': 13, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.56a', 'multiplicity': 1, 'nt': [168, 0], 'qdim': 56, 'qvalues': [56, 56, 56, 56, 56, -4, -4, 0, -4, 11, 2, 2, -4, -4, -4, -4, 0, -4, -4, 0, 0, 0, -2, -2, -2, -2, 0, 1, 11, 11, 11, 11, 11, 11, 2, 2, -1, -1, 2, 2, -1, 2, 2, 0, 0, -2, -2, -2, -2, 0, 0, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4591411
    {'cdim': 63, 'counter': 14, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.63a', 'multiplicity': 1, 'nt': [144, 0], 'qdim': 63, 'qvalues': [63, -49, 35, -21, 7, 15, -9, -1, 3, 24, 3, 0, 15, -15, -9, 9, -1, 3, -3, 1, 1, -1, -3, 3, -1, 1, -1, 8, -24, -16, 16, -8, 8, 0, 3, -3, 0, 0, -1, -1, 0, 1, 0, -1, 0, 3, -3, 1, -1, -1, 1, 0, 0, -8, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 4591412
    {'cdim': 84, 'counter': 15, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.84a', 'multiplicity': 1, 'nt': [120, 0], 'qdim': 84, 'qvalues': [84, 84, 84, 84, 84, 4, 4, 4, 4, -6, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, -1, -6, -6, -6, -6, -6, -6, 3, 3, -2, -2, 3, 3, -2, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4591413
    {'cdim': 84, 'counter': 16, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.84b', 'multiplicity': 1, 'nt': [168, 0], 'qdim': 84, 'qvalues': [84, -28, 0, 8, -4, 0, 8, -4, -4, 21, 3, 3, 20, -10, -4, -2, 4, 0, 2, -2, 2, 0, -4, -2, 2, 0, 0, 4, -19, -1, -1, 5, -3, -1, -1, -1, 5, -3, -1, 3, -1, -1, -1, -1, 0, 4, 2, -2, 0, 0, 0, 0, 0, -4, 2, -2, 0, 0, -3, 5, -1, -1, -1, 1, -1, 1, 1, 1, -1, 0, 0, 0, 1, 1, 0, 0, 1, -1, -1, 1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 4591414
    {'cdim': 84, 'counter': 17, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.84c', 'multiplicity': 1, 'nt': [168, 0], 'qdim': 84, 'qvalues': [84, -28, 0, 8, -4, 20, -4, 4, 0, 21, 3, 3, 0, -10, 8, -2, -4, -4, 2, 2, -2, 0, 2, 4, 0, -2, 0, 4, -19, -1, -1, 5, -3, -1, -1, -1, -3, 5, -1, 3, -1, -1, -1, 1, 0, -2, -4, 0, 2, 0, 0, 0, 0, -4, 2, -2, 0, 0, 5, -3, -1, -1, -1, 1, -1, 1, -1, -1, 1, 0, 0, 0, 1, 1, 0, 0, 1, -1, -1, 1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 4591415
    {'cdim': 105, 'counter': 18, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.105a', 'multiplicity': 1, 'nt': [252, 0], 'qdim': 105, 'qvalues': [105, 105, 105, 105, 105, 5, 5, 1, 5, 15, -3, -3, 5, 5, 5, 5, 1, 5, 5, 1, 1, 1, -1, -1, -1, -1, 1, 0, 15, 15, 15, 15, 15, 15, -3, -3, -1, -1, -3, -3, -1, -3, -3, 1, 0, -1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591416
    {'cdim': 120, 'counter': 19, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.120a', 'multiplicity': 1, 'nt': [280, 0], 'qdim': 120, 'qvalues': [120, 120, 120, 120, 120, 0, 0, 8, 0, 0, -3, 3, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, -3, -3, 0, -3, 3, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591418
    {'cdim': 126, 'counter': 20, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.126a', 'multiplicity': 1, 'nt': [252, 0], 'qdim': 126, 'qvalues': [126, 14, -14, -6, 6, -14, -6, 6, 6, 21, 6, 0, 26, 4, 2, -4, 6, -2, 0, 0, 0, -2, 2, -4, 0, -2, -2, 1, 9, -1, -9, -3, 1, 3, -6, 0, -3, 1, 2, -2, 3, 0, 0, 0, 0, 4, -2, 2, 0, 2, 0, 0, 0, 1, -1, -1, 1, 1, 1, 5, 1, -1, -3, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1], 'schur_index': 1}
  • id: 4591419
    {'cdim': 126, 'counter': 21, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.126b', 'multiplicity': 1, 'nt': [252, 0], 'qdim': 126, 'qvalues': [126, 14, -14, -6, 6, 26, 2, 6, -2, 21, 6, 0, -14, 4, -6, -4, 6, 6, 0, 0, 0, -2, -2, 4, 0, 2, 2, 1, 9, -1, -9, -3, 1, 3, -6, 0, 1, 5, 2, -2, -1, 0, 0, 0, 0, -4, 2, -2, 0, -2, 0, 0, 0, 1, -1, -1, 1, 1, -3, 1, 1, 3, -3, -1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1], 'schur_index': 1}
  • id: 4591420
    {'cdim': 126, 'counter': 22, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.126c', 'multiplicity': 1, 'nt': [270, 0], 'qdim': 126, 'qvalues': [126, -98, 70, -42, 14, 10, -6, 6, 2, -6, 6, 0, 10, -10, -6, 6, 6, 2, -2, -6, -6, 6, 0, 0, 0, 0, 2, -4, 6, 4, -4, 2, -2, 0, 6, -6, 2, -2, -2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 4, 2, -2, 0, 0, 2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 4591421
    {'cdim': 162, 'counter': 23, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.162a', 'multiplicity': 1, 'nt': [504, 0], 'qdim': 162, 'qvalues': [162, 162, 162, 162, 162, 6, 6, -6, 6, 0, 0, 0, 6, 6, 6, 6, -6, 6, 6, -6, -6, -6, 0, 0, 0, 0, -2, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -2, -2, 0, 0, -3, -3, -3, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591422
    {'cdim': 168, 'counter': 24, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.168a', 'multiplicity': 1, 'nt': [504, 0], 'qdim': 168, 'qvalues': [168, -56, 0, 16, -8, 20, 4, 0, -4, 39, 0, -3, 20, -20, 4, -4, 0, -4, 4, 0, 0, 0, -2, 2, 2, -2, 0, 8, -41, 1, 1, 7, -9, 1, 4, -2, -1, -1, 4, 0, 1, -2, 1, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, -8, 4, -4, 0, 0, -1, -1, 1, 1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 1, 1, -1, 1, 1, 1, -1], 'schur_index': 1}
  • id: 4591423
    {'cdim': 168, 'counter': 25, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.168b', 'multiplicity': 1, 'nt': [840, 0], 'qdim': 168, 'qvalues': [168, 168, 168, 168, 168, 4, 4, 0, 4, -15, 0, -3, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, -2, -2, -2, -2, 0, 3, -15, -15, -15, -15, -15, -15, 0, 0, 1, 1, 0, 0, 1, 0, -3, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 3, 3, 3, 3, -1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591424
    {'cdim': 180, 'counter': 26, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.180a', 'multiplicity': 1, 'nt': [504, 0], 'qdim': 180, 'qvalues': [180, -140, 100, -60, 20, 20, -12, 4, 4, 30, -3, 0, 20, -20, -12, 12, 4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, -30, -20, 20, -10, 10, 0, -3, 3, -2, 2, 1, 1, 0, -1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0, 2, 0, 0, 0, 1, -1, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591425
    {'cdim': 189, 'counter': 27, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.189a', 'multiplicity': 1, 'nt': [504, 0], 'qdim': 189, 'qvalues': [189, -147, 105, -63, 21, 5, -3, -3, 1, 36, 0, 0, 5, -5, -3, 3, -3, 1, -1, 3, 3, -3, 3, -3, 1, -1, 1, 4, -36, -24, 24, -12, 12, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, -3, 3, -1, 1, 1, -1, 0, 0, -4, -2, 2, 0, 0, 4, -4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 4591426
    {'cdim': 189, 'counter': 28, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.189b', 'multiplicity': 1, 'nt': [630, 0], 'qdim': 189, 'qvalues': [189, 189, 189, 189, 189, -11, -11, -3, -11, 9, 0, 0, -11, -11, -11, -11, -3, -11, -11, -3, -3, -3, 1, 1, 1, 1, 1, -1, 9, 9, 9, 9, 9, 9, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4591429
    {'cdim': 216, 'counter': 30, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.216a', 'multiplicity': 1, 'nt': [336, 0], 'qdim': 216, 'qvalues': [216, 120, 48, 0, -24, 28, 12, 0, 4, 45, 0, 0, 12, 20, -4, 4, 0, -12, -4, 0, 0, 0, -2, 2, 2, -2, 0, 6, 45, 15, 15, -3, -3, -9, 0, 0, 1, 1, 0, 0, 3, 0, 0, 0, -1, -2, 2, 2, -2, 0, 0, 0, 0, 6, 0, 0, -2, -2, -3, -3, -1, -1, -1, 1, 1, -1, 0, 0, 0, 1, -1, 1, 0, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591430
    {'cdim': 216, 'counter': 31, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.216b', 'multiplicity': 1, 'nt': [504, 0], 'qdim': 216, 'qvalues': [216, 120, 48, 0, -24, 12, -4, 0, -12, 45, 0, 0, 28, 20, 12, 4, 0, 4, -4, 0, 0, 0, 2, -2, -2, 2, 0, 6, 45, 15, 15, -3, -3, -9, 0, 0, -3, -3, 0, 0, -1, 0, 0, 0, -1, 2, -2, -2, 2, 0, 0, 0, 0, 6, 0, 0, -2, 2, 1, 1, -1, 3, -1, 1, -1, 1, 0, 0, 0, 1, -1, 1, 0, 0, -2, 0, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591431
    {'cdim': 216, 'counter': 32, 'faithful': False, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.216c', 'multiplicity': 1, 'nt': [504, 0], 'qdim': 216, 'qvalues': [216, 216, 216, 216, 216, -4, -4, 0, -4, -9, 0, 0, -4, -4, -4, -4, 0, -4, -4, 0, 0, 0, 2, 2, 2, 2, 0, 1, -9, -9, -9, -9, -9, -9, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, -1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4591432
    {'cdim': 252, 'counter': 33, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.252a', 'multiplicity': 1, 'nt': [630, 0], 'qdim': 252, 'qvalues': [252, -196, 140, -84, 28, 20, -12, -4, 4, 6, 3, 0, 20, -20, -12, 12, -4, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, -8, -6, -4, 4, -2, 2, 0, 3, -3, -2, 2, -1, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 4, -4, 0, 0, -2, 2, -2, 0, 2, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 4591433
    {'cdim': 252, 'counter': 34, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.252b', 'multiplicity': 1, 'nt': [756, 0], 'qdim': 252, 'qvalues': [252, 28, -28, -12, 12, 12, -4, 12, 4, 24, -6, 0, 12, 8, -4, -8, 12, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 36, -14, -6, 0, -4, 6, 6, 0, 4, 0, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, 4, 0, -4, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, -2, 0, 0, -1, 1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 4591434
    {'cdim': 315, 'counter': 35, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.315a', 'multiplicity': 1, 'nt': [630, 0], 'qdim': 315, 'qvalues': [315, -245, 175, -105, 35, -25, 15, 3, -5, 30, 6, 0, -25, 25, 15, -15, 3, -5, 5, -3, -3, 3, 3, -3, 1, -1, -1, 0, -30, -20, 20, -10, 10, 0, 6, -6, -2, 2, -2, -2, 0, 2, 0, 0, 0, -3, 3, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591427
    {'cdim': 189, 'counter': 29, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.189c', 'multiplicity': 2, 'nt': [3024, 0], 'qdim': 378, 'qvalues': [378, -294, 210, -126, 42, 10, -6, -6, 2, -36, 0, 0, 10, -10, -6, 6, -6, 2, -2, 6, 6, -6, 6, -6, 2, -2, 2, 8, 36, 24, -24, 12, -12, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, -6, 6, -2, 2, 2, -2, 0, 0, -8, -4, 4, 0, 0, -4, 4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 4591435
    {'cdim': 378, 'counter': 36, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.378a', 'multiplicity': 1, 'nt': [756, 0], 'qdim': 378, 'qvalues': [378, 42, -42, -18, 18, -6, -14, -6, 6, 45, 0, 0, 34, 16, -6, -8, -6, -2, 4, 0, 0, 2, 4, -2, 2, 0, 2, 3, 45, -15, -15, -3, -3, 9, 0, 0, -3, -3, 0, 0, 1, 0, 0, 0, 0, 2, -4, 0, -2, -2, 0, 0, 0, 3, -3, -3, 3, -1, 1, 1, 1, -3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591436
    {'cdim': 378, 'counter': 37, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.378b', 'multiplicity': 1, 'nt': [756, 0], 'qdim': 378, 'qvalues': [378, 42, -42, -18, 18, 34, -6, -6, -2, 45, 0, 0, -6, 16, -14, -8, -6, 6, 4, 0, 0, 2, -4, 2, -2, 0, -2, 3, 45, -15, -15, -3, -3, 9, 0, 0, 1, 1, 0, 0, -3, 0, 0, 0, 0, -2, 4, 0, 2, 2, 0, 0, 0, 3, -3, -3, 3, -1, -3, -3, 1, 1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591438
    {'cdim': 420, 'counter': 39, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.420a', 'multiplicity': 1, 'nt': [1008, 0], 'qdim': 420, 'qvalues': [420, -140, 0, 40, -20, -20, 20, 4, -8, 45, 3, -3, 40, -10, -16, -2, -4, 4, 2, 2, -2, 0, -2, -4, 0, 2, 0, 0, -35, -5, -5, 13, -3, -5, -5, 1, 1, 1, -5, 3, -1, 1, 1, 1, 0, 2, 4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591440
    {'cdim': 420, 'counter': 40, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.420b', 'multiplicity': 1, 'nt': [1008, 0], 'qdim': 420, 'qvalues': [420, -140, 0, 40, -20, 0, 8, 12, -4, -15, 0, 6, 20, -10, -4, -2, -12, 0, 2, 6, -6, 0, 4, 2, -2, 0, 0, 0, 25, -5, -5, 1, 9, -5, 4, -2, 5, -3, 4, 0, -1, -2, -2, 0, 0, -4, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 5, -1, -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591441
    {'cdim': 420, 'counter': 41, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.420c', 'multiplicity': 1, 'nt': [1008, 0], 'qdim': 420, 'qvalues': [420, -140, 0, 40, -20, 20, -4, -12, 0, -15, 0, 6, 0, -10, 8, -2, 12, -4, 2, -6, 6, 0, -2, -4, 0, 2, 0, 0, 25, -5, -5, 1, 9, -5, 4, -2, -3, 5, 4, 0, -1, -2, -2, 0, 0, 2, 4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, -3, -1, -1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591442
    {'cdim': 420, 'counter': 42, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.420d', 'multiplicity': 1, 'nt': [1008, 0], 'qdim': 420, 'qvalues': [420, -140, 0, 40, -20, 40, -16, -4, 4, 45, 3, -3, -20, -10, 20, -2, 4, -8, 2, -2, 2, 0, 4, 2, -2, 0, 0, 0, -35, -5, -5, 13, -3, -5, -5, 1, 1, 1, -5, 3, -1, 1, 1, -1, 0, -4, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591443
    {'cdim': 504, 'counter': 43, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.504a', 'multiplicity': 1, 'nt': [1008, 0], 'qdim': 504, 'qvalues': [504, 280, 112, 0, -56, 32, 16, 8, 8, 30, -3, 0, 8, 20, -8, 4, -8, -16, -4, -4, 4, 0, 0, 0, 0, 0, 0, -6, 30, 10, 10, -2, -2, -6, -3, -3, 2, 2, 1, 1, -2, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 2, 2, 2, 2, 2, -2, 2, -2, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591444
    {'cdim': 504, 'counter': 44, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.504b', 'multiplicity': 1, 'nt': [1152, 0], 'qdim': 504, 'qvalues': [504, 56, -56, -24, 24, 44, 12, 0, -4, 39, 6, 0, -36, -4, -4, -4, 0, 12, -4, 0, 0, 0, 2, 2, 2, 2, 0, -1, -9, 11, -21, -9, 7, 3, -6, 0, -1, -1, 2, -2, 3, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, -1, 1, 1, -1, -1, 3, 3, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 4591445
    {'cdim': 504, 'counter': 45, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.504c', 'multiplicity': 1, 'nt': [1260, 0], 'qdim': 504, 'qvalues': [504, 56, -56, -24, 24, -36, -4, 0, 12, 39, 6, 0, 44, -4, 12, -4, 0, -4, -4, 0, 0, 0, -2, -2, -2, -2, 0, -1, -9, 11, -21, -9, 7, 3, -6, 0, 3, 3, 2, -2, -1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, -1, 1, 1, -1, -1, -1, -1, -1, 3, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 4591446
    {'cdim': 504, 'counter': 46, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.504d', 'multiplicity': 1, 'nt': [1512, 0], 'qdim': 504, 'qvalues': [504, 280, 112, 0, -56, 8, -8, -8, -16, 30, -3, 0, 32, 20, 16, 4, 8, 8, -4, 4, -4, 0, 0, 0, 0, 0, 0, -6, 30, 10, 10, -2, -2, -6, -3, -3, 2, 2, 1, 1, -2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 2, -2, 2, 2, 2, -2, 2, -2, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591447
    {'cdim': 504, 'counter': 47, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.504e', 'multiplicity': 1, 'nt': [1890, 0], 'qdim': 504, 'qvalues': [504, -392, 280, -168, 56, 0, 0, 8, 0, -24, -3, 0, 0, 0, 0, 0, 8, 0, 0, -8, -8, 8, 0, 0, 0, 0, 0, 4, 24, 16, -16, 8, -8, 0, -3, 3, 0, 0, 1, 1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 4591448
    {'cdim': 504, 'counter': 48, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.504f', 'multiplicity': 1, 'nt': [2016, 0], 'qdim': 504, 'qvalues': [504, 280, 112, 0, -56, 12, -4, 0, -12, -15, 6, 0, 28, 20, 12, 4, 0, 4, -4, 0, 0, 0, -2, 2, 2, -2, 0, -6, -15, -5, -5, 1, 1, 3, 6, 6, -3, -3, -2, -2, -1, -2, 0, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, -6, 0, 0, 2, 2, 1, 1, -1, 3, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591449
    {'cdim': 504, 'counter': 49, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.504g', 'multiplicity': 1, 'nt': [2016, 0], 'qdim': 504, 'qvalues': [504, 280, 112, 0, -56, 28, 12, 0, 4, -15, 6, 0, 12, 20, -4, 4, 0, -12, -4, 0, 0, 0, 2, -2, -2, 2, 0, -6, -15, -5, -5, 1, 1, 3, 6, 6, 1, 1, -2, -2, 3, -2, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, -6, 0, 0, 2, -2, -3, -3, -1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591451
    {'cdim': 540, 'counter': 50, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.540a', 'multiplicity': 1, 'nt': [1008, 0], 'qdim': 540, 'qvalues': [540, 300, 120, 0, -60, 0, 8, -12, 12, 45, 0, 0, -20, -10, -12, -2, 12, -8, 2, 6, -6, 0, -4, -2, 2, 0, 0, 0, 45, 15, 15, -3, -3, -9, 0, 0, -3, -3, 0, 0, -1, 0, 0, 0, 1, -4, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 3, -1, 1, -1, 1, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591452
    {'cdim': 540, 'counter': 51, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.540b', 'multiplicity': 1, 'nt': [1512, 0], 'qdim': 540, 'qvalues': [540, 300, 120, 0, -60, -20, -12, 12, -8, 45, 0, 0, 0, -10, 8, -2, -12, 12, 2, -6, 6, 0, -2, -4, 0, 2, 0, 0, 45, 15, 15, -3, -3, -9, 0, 0, 1, 1, 0, 0, 3, 0, 0, 0, 1, -2, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -1, -1, -1, 1, 1, -1, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591453
    {'cdim': 576, 'counter': 52, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.576a', 'multiplicity': 1, 'nt': [3024, 0], 'qdim': 576, 'qvalues': [576, -448, 320, -192, 64, 0, 0, 0, 0, 24, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -24, -16, 16, -8, 8, 0, -6, 6, 0, 0, 2, 2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 0, 0, 0, 0, 1, 1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 4591454
    {'cdim': 630, 'counter': 53, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.630a', 'multiplicity': 1, 'nt': [1512, 0], 'qdim': 630, 'qvalues': [630, 70, -70, -30, 30, -10, -2, 6, 10, 15, -6, 0, 30, 0, 6, -8, 6, 2, -4, 0, 0, -2, -4, 2, -2, 0, 2, 0, -45, 25, -15, -9, 11, -3, 6, 0, -5, -1, -2, 2, 1, 0, 0, 0, 0, -2, 4, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 3, 3, -3, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591455
    {'cdim': 630, 'counter': 54, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.630b', 'multiplicity': 1, 'nt': [1512, 0], 'qdim': 630, 'qvalues': [630, 70, -70, -30, 30, 30, 6, 6, 2, 15, -6, 0, -10, 0, -2, -8, 6, 10, -4, 0, 0, -2, 4, -2, 2, 0, -2, 0, -45, 25, -15, -9, 11, -3, 6, 0, -1, 3, -2, 2, -3, 0, 0, 0, 0, 2, -4, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -5, -1, 3, 1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591456
    {'cdim': 630, 'counter': 55, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.630c', 'multiplicity': 1, 'nt': [1890, 0], 'qdim': 630, 'qvalues': [630, -490, 350, -210, 70, 10, -6, -2, 2, -30, 3, 0, 10, -10, -6, 6, -2, 2, -2, 2, 2, -2, 0, 0, 0, 0, -2, 0, 30, 20, -20, 10, -10, 0, 3, -3, 2, -2, -1, -1, 0, 1, 0, 1, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, -2, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591457
    {'cdim': 720, 'counter': 56, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.720a', 'multiplicity': 1, 'nt': [2520, 0], 'qdim': 720, 'qvalues': [720, 400, 160, 0, -80, -40, -8, 0, 8, 30, 6, 0, -40, -40, -8, -8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 10, 10, -2, -2, -6, 6, 6, 2, 2, -2, -2, -2, -2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591458
    {'cdim': 756, 'counter': 57, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.756a', 'multiplicity': 1, 'nt': [1120, 0], 'qdim': 756, 'qvalues': [756, -252, 0, 72, -36, 40, -16, 12, 4, 9, 0, 0, -20, -10, 20, -2, -12, -8, 2, 6, -6, 0, -4, -2, 2, 0, 0, -4, 9, -9, -9, 9, 9, -9, 0, 0, 1, 1, 0, 0, -1, 0, 0, 0, 0, 4, 2, -2, 0, 0, 0, 0, 0, 4, -2, 2, 0, 0, 1, 1, -1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, 1, -1, 1, 1, 1, -1], 'schur_index': 1}
  • id: 4591459
    {'cdim': 756, 'counter': 58, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.756b', 'multiplicity': 1, 'nt': [1680, 0], 'qdim': 756, 'qvalues': [756, -252, 0, 72, -36, -20, 20, -12, -8, 9, 0, 0, 40, -10, -16, -2, 12, 4, 2, -6, 6, 0, 2, 4, 0, -2, 0, -4, 9, -9, -9, 9, 9, -9, 0, 0, 1, 1, 0, 0, -1, 0, 0, 0, 0, -2, -4, 0, 2, 0, 0, 0, 0, 4, -2, 2, 0, 0, 1, 1, -1, -1, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, -1, 1, -1, 1, 1, 1, -1], 'schur_index': 1}
  • id: 4591460
    {'cdim': 756, 'counter': 59, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.756c', 'multiplicity': 1, 'nt': [2016, 0], 'qdim': 756, 'qvalues': [756, 420, 168, 0, -84, 8, 0, 12, -4, -45, 0, 0, 12, 10, 4, 2, -12, 0, -2, -6, 6, 0, -4, -2, 2, 0, 0, 6, -45, -15, -15, 3, 3, 9, 0, 0, -1, -1, 0, 0, -3, 0, 0, 0, 0, -4, -2, 2, 0, 0, 0, 0, 0, 6, 0, 0, -2, -2, 3, 3, 1, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591462
    {'cdim': 756, 'counter': 60, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.756d', 'multiplicity': 1, 'nt': [2520, 0], 'qdim': 756, 'qvalues': [756, 84, -84, -36, 36, -4, 12, -12, 4, 36, 0, 0, -4, -16, 12, 0, -12, 4, -8, 0, 0, 4, 0, 0, 0, 0, 0, 1, -36, 24, -24, -12, 12, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 1, 4, -4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -1, 0, 0, 1, -1, 1, -1, -1, -1], 'schur_index': 1}
  • id: 4591463
    {'cdim': 756, 'counter': 61, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.756e', 'multiplicity': 1, 'nt': [3024, 0], 'qdim': 756, 'qvalues': [756, 420, 168, 0, -84, 12, 4, -12, 0, -45, 0, 0, 8, 10, 0, 2, 12, -4, -2, 6, -6, 0, -2, -4, 0, 2, 0, 6, -45, -15, -15, 3, 3, 9, 0, 0, 3, 3, 0, 0, 1, 0, 0, 0, 0, -2, -4, 0, 2, 0, 0, 0, 0, 6, 0, 0, -2, 2, -1, -1, 1, -3, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591437
    {'cdim': 405, 'counter': 38, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.405a', 'multiplicity': 2, 'nt': [3780, 0], 'qdim': 810, 'qvalues': [810, -630, 450, -270, 90, -30, 18, -6, -6, 0, 0, 0, -30, 30, 18, -18, -6, -6, 6, 6, 6, -6, -6, 6, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 6, -6, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591465
    {'cdim': 840, 'counter': 63, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.840a', 'multiplicity': 1, 'nt': [2240, 0], 'qdim': 840, 'qvalues': [840, -280, 0, 80, -40, -40, 8, 8, 0, 30, 3, 3, 0, 20, -16, 4, -8, 8, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, -10, -10, -10, 14, 6, -10, -1, -1, -6, 2, -1, 3, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -6, 2, 2, 2, -2, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591466
    {'cdim': 840, 'counter': 64, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.840b', 'multiplicity': 1, 'nt': [2240, 0], 'qdim': 840, 'qvalues': [840, -280, 0, 80, -40, 0, -16, -8, 8, 30, 3, 3, -40, 20, 8, 4, 8, 0, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, -10, -10, -10, 14, 6, -10, -1, -1, 2, -6, -1, 3, 2, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 2, 2, 2, 2, -2, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591467
    {'cdim': 840, 'counter': 65, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.840c', 'multiplicity': 1, 'nt': [3024, 0], 'qdim': 840, 'qvalues': [840, -280, 0, 80, -40, 20, 4, 0, -4, -45, 6, -6, 20, -20, 4, -4, 0, -4, 4, 0, 0, 0, 2, -2, -2, 2, 0, 0, 35, 5, 5, -13, 3, 5, 2, -4, -1, -1, 2, 6, 1, -4, 2, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591468
    {'cdim': 840, 'counter': 66, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.840d', 'multiplicity': 1, 'nt': [3024, 0], 'qdim': 840, 'qvalues': [840, -280, 0, 80, -40, 20, 4, 0, -4, 75, -6, 3, 20, -20, 4, -4, 0, -4, 4, 0, 0, 0, 2, -2, -2, 2, 0, 0, -85, 5, 5, 11, -21, 5, 2, 2, -1, -1, 2, -6, 1, 2, -1, 0, 0, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591469
    {'cdim': 1008, 'counter': 67, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.1008a', 'multiplicity': 1, 'nt': [3780, 0], 'qdim': 1008, 'qvalues': [1008, 112, -112, -48, 48, 8, 8, 0, 8, 6, -6, 0, 8, -8, 8, -8, 0, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, 54, -26, 6, 6, -10, 6, 6, 0, 2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -2, 2, 0, 0, 1, -1, 1, -1, -1, -1], 'schur_index': 1}
  • id: 4591470
    {'cdim': 1260, 'counter': 68, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.1260a', 'multiplicity': 1, 'nt': [2160, 0], 'qdim': 1260, 'qvalues': [1260, 140, -140, -60, 60, 20, 4, 12, 12, -60, 6, 0, 20, 0, 4, -16, 12, 12, -8, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -10, 30, 12, -8, -6, -6, 0, 0, -4, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -2, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591471
    {'cdim': 1260, 'counter': 69, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.1260b', 'multiplicity': 1, 'nt': [3360, 0], 'qdim': 1260, 'qvalues': [1260, 700, 280, 0, -140, 0, 8, 4, 12, -15, -3, 0, -20, -10, -12, -2, -4, -8, 2, -2, 2, 0, 4, 2, -2, 0, 0, 0, -15, -5, -5, 1, 1, 3, -3, -3, -3, -3, 1, 1, -1, 1, 0, 1, 0, 4, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 3, -1, 1, 1, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591473
    {'cdim': 1260, 'counter': 70, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.1260c', 'multiplicity': 1, 'nt': [5040, 0], 'qdim': 1260, 'qvalues': [1260, 700, 280, 0, -140, -20, -12, -4, -8, -15, -3, 0, 0, -10, 8, -2, 4, 12, 2, 2, -2, 0, 2, 4, 0, -2, 0, 0, -15, -5, -5, 1, 1, 3, -3, -3, 1, 1, 1, 1, 3, 1, 0, -1, 0, 2, 4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -1, -1, -1, 1, -1, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591474
    {'cdim': 1344, 'counter': 71, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.1344a', 'multiplicity': 1, 'nt': [6048, 0], 'qdim': 1344, 'qvalues': [1344, -448, 0, 128, -64, 0, 0, 0, 0, -24, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 56, -16, -16, 8, 24, -16, 2, 2, 0, 0, 2, -6, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, 1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 4591464
    {'cdim': 756, 'counter': 62, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.756f', 'multiplicity': 2, 'nt': [7560, 0], 'qdim': 1512, 'qvalues': [1512, 168, -168, -72, 72, -8, 24, -24, 8, -36, 0, 0, -8, -32, 24, 0, -24, 8, -16, 0, 0, 8, 0, 0, 0, 0, 0, 2, 36, -24, 24, 12, -12, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, -4, 4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, -2, 0, 0, -1, 1, -1, 1, 1, 1], 'schur_index': 1}
  • id: 4591476
    {'cdim': 1512, 'counter': 73, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.1512a', 'multiplicity': 1, 'nt': [3780, 0], 'qdim': 1512, 'qvalues': [1512, 168, -168, -72, 72, -44, -12, 0, 4, 45, 0, 0, 36, 4, 4, 4, 0, -12, 4, 0, 0, 0, 2, 2, 2, 2, 0, -3, 45, -15, -15, -3, -3, 9, 0, 0, 1, 1, 0, 0, -3, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, -3, 3, 3, -3, 1, -3, -3, 1, 1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591477
    {'cdim': 1512, 'counter': 74, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.1512b', 'multiplicity': 1, 'nt': [3780, 0], 'qdim': 1512, 'qvalues': [1512, 168, -168, -72, 72, 36, 4, 0, -12, 45, 0, 0, -44, 4, -12, 4, 0, 4, 4, 0, 0, 0, -2, -2, -2, -2, 0, -3, 45, -15, -15, -3, -3, 9, 0, 0, -3, -3, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, -3, 3, 3, -3, 1, 1, 1, 1, -3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591478
    {'cdim': 1512, 'counter': 75, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.1512c', 'multiplicity': 1, 'nt': [5040, 0], 'qdim': 1512, 'qvalues': [1512, -504, 0, 144, -72, 20, 4, 0, -4, -9, 0, 0, 20, -20, 4, -4, 0, -4, 4, 0, 0, 0, -2, 2, 2, -2, 0, -8, -9, 9, 9, -9, -9, 9, 0, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 8, -4, 4, 0, 0, -1, -1, 1, 1, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 1, -1, 1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 4591479
    {'cdim': 1680, 'counter': 76, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.1680a', 'multiplicity': 1, 'nt': [7560, 0], 'qdim': 1680, 'qvalues': [1680, -560, 0, 160, -80, -40, -8, 0, 8, 30, 0, -3, -40, 40, -8, 8, 0, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50, 10, 10, -2, -18, 10, 4, -2, 2, 2, 4, 0, -2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591480
    {'cdim': 1890, 'counter': 77, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.1890a', 'multiplicity': 1, 'nt': [4536, 0], 'qdim': 1890, 'qvalues': [1890, 210, -210, -90, 90, -10, -18, -6, 2, -45, 0, 0, 30, 20, -10, -4, -6, -6, 8, 0, 0, 2, -2, 4, 0, 2, -2, 0, -45, 15, 15, 3, 3, -9, 0, 0, -1, -1, 0, 0, 3, 0, 0, 0, 0, -4, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, -1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591481
    {'cdim': 1890, 'counter': 78, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.1890b', 'multiplicity': 1, 'nt': [4536, 0], 'qdim': 1890, 'qvalues': [1890, 210, -210, -90, 90, 30, -10, -6, -6, -45, 0, 0, -10, 20, -18, -4, -6, 2, 8, 0, 0, 2, 2, -4, 0, -2, 2, 0, -45, 15, 15, 3, 3, -9, 0, 0, 3, 3, 0, 0, -1, 0, 0, 0, 0, 4, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 3, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591482
    {'cdim': 2268, 'counter': 79, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.2268a', 'multiplicity': 1, 'nt': [7560, 0], 'qdim': 2268, 'qvalues': [2268, 252, -252, -108, 108, -36, 12, 12, -12, 0, 0, 0, -36, -24, 12, 24, 12, -12, 0, 0, 0, -4, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -3, -3, 3, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4591475
    {'cdim': 1344, 'counter': 72, 'faithful': True, 'group': '46448640.a', 'group_order': 46448640, 'image': None, 'label': '46448640.a.1344b', 'multiplicity': 2, 'nt': [13440, 0], 'qdim': 2688, 'qvalues': [2688, -896, 0, 256, -128, 0, 0, 0, 0, -96, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 64, 16, 16, -32, 0, 16, -8, 4, 0, 0, -8, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, -1, 1, 1, 1, -1], '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: 7250515
    {'center': None, 'center_index': 1, 'center_order': 46448640, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': None, 'kernel_order': 46448640, 'label': '46448640.a.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]]]}
  • id: 7250526
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 2, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.8a', 'nt': [9, 33], 'q_character': None, 'values': [[[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[5, 0]], [[2, 0]], [[-1, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[3, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250537
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 3, 'cyclotomic_n': 1, 'dim': 9, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.9a', 'nt': [18, 963], 'q_character': None, 'values': [[[9, 0]], [[-7, 0]], [[5, 0]], [[-3, 0]], [[1, 0]], [[5, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[6, 0]], [[3, 0]], [[0, 0]], [[5, 0]], [[-5, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[-6, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 7250548
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 4, 'cyclotomic_n': 15, 'dim': 21, 'faithful': False, 'field': [4, -1, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 0, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.21a1', 'nt': [560, 0], 'q_character': None, 'values': [[[21, 0]], [[21, 0]], [[21, 0]], [[21, 0]], [[21, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[-3, 0]], [[0, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]]]}
  • id: 7250559
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 5, 'cyclotomic_n': 15, 'dim': 21, 'faithful': False, 'field': [4, -1, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 0, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.21a2', 'nt': [560, 2], 'q_character': None, 'values': [[[21, 0]], [[21, 0]], [[21, 0]], [[21, 0]], [[21, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[-3, 0]], [[0, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]]]}
  • id: 7250570
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 6, 'cyclotomic_n': 1, 'dim': 27, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.27a', 'nt': [36, 23796], 'q_character': None, 'values': [[[27, 0]], [[27, 0]], [[27, 0]], [[27, 0]], [[27, 0]], [[7, 0]], [[7, 0]], [[3, 0]], [[7, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[7, 0]], [[7, 0]], [[7, 0]], [[7, 0]], [[3, 0]], [[7, 0]], [[7, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7250581
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 7, 'cyclotomic_n': 1, 'dim': 28, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.28a', 'nt': [72, 0], 'q_character': None, 'values': [[[28, 0]], [[28, 0]], [[28, 0]], [[28, 0]], [[28, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[10, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[10, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250592
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 8, 'cyclotomic_n': 1, 'dim': 35, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.35a', 'nt': [120, 0], 'q_character': None, 'values': [[[35, 0]], [[35, 0]], [[35, 0]], [[35, 0]], [[35, 0]], [[-5, 0]], [[-5, 0]], [[3, 0]], [[-5, 0]], [[5, 0]], [[2, 0]], [[-1, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[3, 0]], [[-5, 0]], [[-5, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250598
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 9, 'cyclotomic_n': 1, 'dim': 35, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.35b', 'nt': [120, 0], 'q_character': None, 'values': [[[35, 0]], [[35, 0]], [[35, 0]], [[35, 0]], [[35, 0]], [[-5, 0]], [[-5, 0]], [[3, 0]], [[-5, 0]], [[5, 0]], [[2, 0]], [[-1, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[-5, 0]], [[3, 0]], [[-5, 0]], [[-5, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250516
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 10, 'cyclotomic_n': 1, 'dim': 36, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.36a', 'nt': [72, 0], 'q_character': None, 'values': [[[36, 0]], [[20, 0]], [[8, 0]], [[0, 0]], [[-4, 0]], [[8, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[15, 0]], [[3, 0]], [[0, 0]], [[12, 0]], [[10, 0]], [[4, 0]], [[2, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[15, 0]], [[5, 0]], [[5, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250517
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 11, 'cyclotomic_n': 1, 'dim': 36, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.36b', 'nt': [72, 0], 'q_character': None, 'values': [[[36, 0]], [[20, 0]], [[8, 0]], [[0, 0]], [[-4, 0]], [[12, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[15, 0]], [[3, 0]], [[0, 0]], [[8, 0]], [[10, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[6, 0]], [[15, 0]], [[5, 0]], [[5, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250518
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 12, 'cyclotomic_n': 1, 'dim': 42, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.42a', 'nt': [126, 0], 'q_character': None, 'values': [[[42, 0]], [[42, 0]], [[42, 0]], [[42, 0]], [[42, 0]], [[6, 0]], [[6, 0]], [[2, 0]], [[6, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[2, 0]], [[6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250519
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 13, 'cyclotomic_n': 1, 'dim': 48, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.48a', 'nt': [84, 0], 'q_character': None, 'values': [[[48, 0]], [[48, 0]], [[48, 0]], [[48, 0]], [[48, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[8, 0]], [[6, 0]], [[0, 0]], [[3, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7250520
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 14, 'cyclotomic_n': 1, 'dim': 56, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.56a', 'nt': [168, 0], 'q_character': None, 'values': [[[56, 0]], [[56, 0]], [[56, 0]], [[56, 0]], [[56, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[11, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[11, 0]], [[11, 0]], [[11, 0]], [[11, 0]], [[11, 0]], [[11, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7250521
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 15, 'cyclotomic_n': 1, 'dim': 63, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.63a', 'nt': [144, 0], 'q_character': None, 'values': [[[63, 0]], [[-49, 0]], [[35, 0]], [[-21, 0]], [[7, 0]], [[15, 0]], [[-9, 0]], [[-1, 0]], [[3, 0]], [[24, 0]], [[3, 0]], [[0, 0]], [[15, 0]], [[-15, 0]], [[-9, 0]], [[9, 0]], [[-1, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[8, 0]], [[-24, 0]], [[-16, 0]], [[16, 0]], [[-8, 0]], [[8, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-8, 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]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 7250522
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 16, 'cyclotomic_n': 1, 'dim': 84, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.84a', 'nt': [120, 0], 'q_character': None, 'values': [[[84, 0]], [[84, 0]], [[84, 0]], [[84, 0]], [[84, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[3, 0]], [[3, 0]], [[-2, 0]], [[-2, 0]], [[3, 0]], [[3, 0]], [[-2, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7250523
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 17, 'cyclotomic_n': 1, 'dim': 84, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.84b', 'nt': [168, 0], 'q_character': None, 'values': [[[84, 0]], [[-28, 0]], [[0, 0]], [[8, 0]], [[-4, 0]], [[0, 0]], [[8, 0]], [[-4, 0]], [[-4, 0]], [[21, 0]], [[3, 0]], [[3, 0]], [[20, 0]], [[-10, 0]], [[-4, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-19, 0]], [[-1, 0]], [[-1, 0]], [[5, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[5, 0]], [[-3, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[5, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 7250524
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 18, 'cyclotomic_n': 1, 'dim': 84, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.84c', 'nt': [168, 0], 'q_character': None, 'values': [[[84, 0]], [[-28, 0]], [[0, 0]], [[8, 0]], [[-4, 0]], [[20, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[21, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-10, 0]], [[8, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[4, 0]], [[-19, 0]], [[-1, 0]], [[-1, 0]], [[5, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[5, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 7250525
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 19, 'cyclotomic_n': 1, 'dim': 105, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.105a', 'nt': [252, 0], 'q_character': None, 'values': [[[105, 0]], [[105, 0]], [[105, 0]], [[105, 0]], [[105, 0]], [[5, 0]], [[5, 0]], [[1, 0]], [[5, 0]], [[15, 0]], [[-3, 0]], [[-3, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[5, 0]], [[1, 0]], [[5, 0]], [[5, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[15, 0]], [[15, 0]], [[15, 0]], [[15, 0]], [[15, 0]], [[15, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250527
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 20, 'cyclotomic_n': 1, 'dim': 120, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.120a', 'nt': [280, 0], 'q_character': None, 'values': [[[120, 0]], [[120, 0]], [[120, 0]], [[120, 0]], [[120, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[-3, 0]], [[3, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 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]]]}
  • id: 7250528
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 21, 'cyclotomic_n': 1, 'dim': 126, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.126a', 'nt': [252, 0], 'q_character': None, 'values': [[[126, 0]], [[14, 0]], [[-14, 0]], [[-6, 0]], [[6, 0]], [[-14, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[21, 0]], [[6, 0]], [[0, 0]], [[26, 0]], [[4, 0]], [[2, 0]], [[-4, 0]], [[6, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[9, 0]], [[-1, 0]], [[-9, 0]], [[-3, 0]], [[1, 0]], [[3, 0]], [[-6, 0]], [[0, 0]], [[-3, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[5, 0]], [[1, 0]], [[-1, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7250529
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 22, 'cyclotomic_n': 1, 'dim': 126, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.126b', 'nt': [252, 0], 'q_character': None, 'values': [[[126, 0]], [[14, 0]], [[-14, 0]], [[-6, 0]], [[6, 0]], [[26, 0]], [[2, 0]], [[6, 0]], [[-2, 0]], [[21, 0]], [[6, 0]], [[0, 0]], [[-14, 0]], [[4, 0]], [[-6, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[9, 0]], [[-1, 0]], [[-9, 0]], [[-3, 0]], [[1, 0]], [[3, 0]], [[-6, 0]], [[0, 0]], [[1, 0]], [[5, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7250530
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 23, 'cyclotomic_n': 1, 'dim': 126, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.126c', 'nt': [270, 0], 'q_character': None, 'values': [[[126, 0]], [[-98, 0]], [[70, 0]], [[-42, 0]], [[14, 0]], [[10, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[10, 0]], [[-10, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[2, 0]], [[-2, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[6, 0]], [[4, 0]], [[-4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[6, 0]], [[-6, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 7250531
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 24, 'cyclotomic_n': 1, 'dim': 162, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.162a', 'nt': [504, 0], 'q_character': None, 'values': [[[162, 0]], [[162, 0]], [[162, 0]], [[162, 0]], [[162, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 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]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250532
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 25, 'cyclotomic_n': 1, 'dim': 168, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.168a', 'nt': [504, 0], 'q_character': None, 'values': [[[168, 0]], [[-56, 0]], [[0, 0]], [[16, 0]], [[-8, 0]], [[20, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[39, 0]], [[0, 0]], [[-3, 0]], [[20, 0]], [[-20, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[8, 0]], [[-41, 0]], [[1, 0]], [[1, 0]], [[7, 0]], [[-9, 0]], [[1, 0]], [[4, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 7250533
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 26, 'cyclotomic_n': 1, 'dim': 168, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.168b', 'nt': [840, 0], 'q_character': None, 'values': [[[168, 0]], [[168, 0]], [[168, 0]], [[168, 0]], [[168, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[-15, 0]], [[0, 0]], [[-3, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[-15, 0]], [[-15, 0]], [[-15, 0]], [[-15, 0]], [[-15, 0]], [[-15, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250534
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 27, 'cyclotomic_n': 1, 'dim': 180, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.180a', 'nt': [504, 0], 'q_character': None, 'values': [[[180, 0]], [[-140, 0]], [[100, 0]], [[-60, 0]], [[20, 0]], [[20, 0]], [[-12, 0]], [[4, 0]], [[4, 0]], [[30, 0]], [[-3, 0]], [[0, 0]], [[20, 0]], [[-20, 0]], [[-12, 0]], [[12, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-30, 0]], [[-20, 0]], [[20, 0]], [[-10, 0]], [[10, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[1, 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]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250535
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 28, 'cyclotomic_n': 1, 'dim': 189, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.189a', 'nt': [504, 0], 'q_character': None, 'values': [[[189, 0]], [[-147, 0]], [[105, 0]], [[-63, 0]], [[21, 0]], [[5, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[36, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[-5, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[4, 0]], [[-36, 0]], [[-24, 0]], [[24, 0]], [[-12, 0]], [[12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 7250536
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 29, 'cyclotomic_n': 1, 'dim': 189, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.189b', 'nt': [630, 0], 'q_character': None, 'values': [[[189, 0]], [[189, 0]], [[189, 0]], [[189, 0]], [[189, 0]], [[-11, 0]], [[-11, 0]], [[-3, 0]], [[-11, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[-11, 0]], [[-11, 0]], [[-11, 0]], [[-11, 0]], [[-3, 0]], [[-11, 0]], [[-11, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7250538
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 30, 'cyclotomic_n': 15, 'dim': 189, 'faithful': True, 'field': [4, -1, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.189c1', 'nt': [3024, 0], 'q_character': None, 'values': [[[189, 0]], [[-147, 0]], [[105, 0]], [[-63, 0]], [[21, 0]], [[5, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[-18, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[-5, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[4, 0]], [[18, 0]], [[12, 0]], [[-12, 0]], [[6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]]]}
  • id: 7250539
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 31, 'cyclotomic_n': 15, 'dim': 189, 'faithful': True, 'field': [4, -1, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.189c2', 'nt': [3024, 2], 'q_character': None, 'values': [[[189, 0]], [[-147, 0]], [[105, 0]], [[-63, 0]], [[21, 0]], [[5, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[-18, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[-5, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[4, 0]], [[18, 0]], [[12, 0]], [[-12, 0]], [[6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]]]}
  • id: 7250540
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 32, 'cyclotomic_n': 1, 'dim': 216, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.216a', 'nt': [336, 0], 'q_character': None, 'values': [[[216, 0]], [[120, 0]], [[48, 0]], [[0, 0]], [[-24, 0]], [[28, 0]], [[12, 0]], [[0, 0]], [[4, 0]], [[45, 0]], [[0, 0]], [[0, 0]], [[12, 0]], [[20, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-12, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[6, 0]], [[45, 0]], [[15, 0]], [[15, 0]], [[-3, 0]], [[-3, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250541
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 33, 'cyclotomic_n': 1, 'dim': 216, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.216b', 'nt': [504, 0], 'q_character': None, 'values': [[[216, 0]], [[120, 0]], [[48, 0]], [[0, 0]], [[-24, 0]], [[12, 0]], [[-4, 0]], [[0, 0]], [[-12, 0]], [[45, 0]], [[0, 0]], [[0, 0]], [[28, 0]], [[20, 0]], [[12, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[6, 0]], [[45, 0]], [[15, 0]], [[15, 0]], [[-3, 0]], [[-3, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250542
    {'center': None, 'center_index': 181440, 'center_order': 256, 'counter': 34, 'cyclotomic_n': 1, 'dim': 216, 'faithful': False, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '181440.b', 'image_order': 181440, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '46448640.a.216c', 'nt': [504, 0], 'q_character': None, 'values': [[[216, 0]], [[216, 0]], [[216, 0]], [[216, 0]], [[216, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[-9, 0]], [[-9, 0]], [[-9, 0]], [[-9, 0]], [[-9, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7250543
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 35, 'cyclotomic_n': 1, 'dim': 252, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.252a', 'nt': [630, 0], 'q_character': None, 'values': [[[252, 0]], [[-196, 0]], [[140, 0]], [[-84, 0]], [[28, 0]], [[20, 0]], [[-12, 0]], [[-4, 0]], [[4, 0]], [[6, 0]], [[3, 0]], [[0, 0]], [[20, 0]], [[-20, 0]], [[-12, 0]], [[12, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-6, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 7250544
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 36, 'cyclotomic_n': 1, 'dim': 252, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.252b', 'nt': [756, 0], 'q_character': None, 'values': [[[252, 0]], [[28, 0]], [[-28, 0]], [[-12, 0]], [[12, 0]], [[12, 0]], [[-4, 0]], [[12, 0]], [[4, 0]], [[24, 0]], [[-6, 0]], [[0, 0]], [[12, 0]], [[8, 0]], [[-4, 0]], [[-8, 0]], [[12, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[36, 0]], [[-14, 0]], [[-6, 0]], [[0, 0]], [[-4, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7250545
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 37, 'cyclotomic_n': 1, 'dim': 315, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.315a', 'nt': [630, 0], 'q_character': None, 'values': [[[315, 0]], [[-245, 0]], [[175, 0]], [[-105, 0]], [[35, 0]], [[-25, 0]], [[15, 0]], [[3, 0]], [[-5, 0]], [[30, 0]], [[6, 0]], [[0, 0]], [[-25, 0]], [[25, 0]], [[15, 0]], [[-15, 0]], [[3, 0]], [[-5, 0]], [[5, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-30, 0]], [[-20, 0]], [[20, 0]], [[-10, 0]], [[10, 0]], [[0, 0]], [[6, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250546
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 38, 'cyclotomic_n': 1, 'dim': 378, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.378a', 'nt': [756, 0], 'q_character': None, 'values': [[[378, 0]], [[42, 0]], [[-42, 0]], [[-18, 0]], [[18, 0]], [[-6, 0]], [[-14, 0]], [[-6, 0]], [[6, 0]], [[45, 0]], [[0, 0]], [[0, 0]], [[34, 0]], [[16, 0]], [[-6, 0]], [[-8, 0]], [[-6, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[3, 0]], [[45, 0]], [[-15, 0]], [[-15, 0]], [[-3, 0]], [[-3, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250547
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 39, 'cyclotomic_n': 1, 'dim': 378, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.378b', 'nt': [756, 0], 'q_character': None, 'values': [[[378, 0]], [[42, 0]], [[-42, 0]], [[-18, 0]], [[18, 0]], [[34, 0]], [[-6, 0]], [[-6, 0]], [[-2, 0]], [[45, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[16, 0]], [[-14, 0]], [[-8, 0]], [[-6, 0]], [[6, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[3, 0]], [[45, 0]], [[-15, 0]], [[-15, 0]], [[-3, 0]], [[-3, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250549
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 40, 'cyclotomic_n': 7, 'dim': 405, 'faithful': True, 'field': [2, -1, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.405a1', 'nt': [3780, 0], 'q_character': None, 'values': [[[405, 0]], [[-315, 0]], [[225, 0]], [[-135, 0]], [[45, 0]], [[-15, 0]], [[9, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-15, 0]], [[15, 0]], [[9, 0]], [[-9, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-1, 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]], [[0, 0]], [[-1, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1], [-2, 2], [-2, -3]], [[1, 0]], [[1, 0], [2, 1], [2, 2], [2, -3]], [[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: 7250550
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 41, 'cyclotomic_n': 7, 'dim': 405, 'faithful': True, 'field': [2, -1, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.405a2', 'nt': [3780, 2], 'q_character': None, 'values': [[[405, 0]], [[-315, 0]], [[225, 0]], [[-135, 0]], [[45, 0]], [[-15, 0]], [[9, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-15, 0]], [[15, 0]], [[9, 0]], [[-9, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-1, 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]], [[0, 0]], [[-1, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1], [2, 2], [2, -3]], [[1, 0]], [[-1, 0], [-2, 1], [-2, 2], [-2, -3]], [[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: 7250551
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 42, 'cyclotomic_n': 1, 'dim': 420, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.420a', 'nt': [1008, 0], 'q_character': None, 'values': [[[420, 0]], [[-140, 0]], [[0, 0]], [[40, 0]], [[-20, 0]], [[-20, 0]], [[20, 0]], [[4, 0]], [[-8, 0]], [[45, 0]], [[3, 0]], [[-3, 0]], [[40, 0]], [[-10, 0]], [[-16, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-35, 0]], [[-5, 0]], [[-5, 0]], [[13, 0]], [[-3, 0]], [[-5, 0]], [[-5, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-5, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250552
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 43, 'cyclotomic_n': 1, 'dim': 420, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.420b', 'nt': [1008, 0], 'q_character': None, 'values': [[[420, 0]], [[-140, 0]], [[0, 0]], [[40, 0]], [[-20, 0]], [[0, 0]], [[8, 0]], [[12, 0]], [[-4, 0]], [[-15, 0]], [[0, 0]], [[6, 0]], [[20, 0]], [[-10, 0]], [[-4, 0]], [[-2, 0]], [[-12, 0]], [[0, 0]], [[2, 0]], [[6, 0]], [[-6, 0]], [[0, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[25, 0]], [[-5, 0]], [[-5, 0]], [[1, 0]], [[9, 0]], [[-5, 0]], [[4, 0]], [[-2, 0]], [[5, 0]], [[-3, 0]], [[4, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-4, 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]], [[-3, 0]], [[5, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 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]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250553
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 44, 'cyclotomic_n': 1, 'dim': 420, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.420c', 'nt': [1008, 0], 'q_character': None, 'values': [[[420, 0]], [[-140, 0]], [[0, 0]], [[40, 0]], [[-20, 0]], [[20, 0]], [[-4, 0]], [[-12, 0]], [[0, 0]], [[-15, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[-10, 0]], [[8, 0]], [[-2, 0]], [[12, 0]], [[-4, 0]], [[2, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[25, 0]], [[-5, 0]], [[-5, 0]], [[1, 0]], [[9, 0]], [[-5, 0]], [[4, 0]], [[-2, 0]], [[-3, 0]], [[5, 0]], [[4, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[5, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 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]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250554
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 45, 'cyclotomic_n': 1, 'dim': 420, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.420d', 'nt': [1008, 0], 'q_character': None, 'values': [[[420, 0]], [[-140, 0]], [[0, 0]], [[40, 0]], [[-20, 0]], [[40, 0]], [[-16, 0]], [[-4, 0]], [[4, 0]], [[45, 0]], [[3, 0]], [[-3, 0]], [[-20, 0]], [[-10, 0]], [[20, 0]], [[-2, 0]], [[4, 0]], [[-8, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-35, 0]], [[-5, 0]], [[-5, 0]], [[13, 0]], [[-3, 0]], [[-5, 0]], [[-5, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-5, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-4, 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]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250555
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 46, 'cyclotomic_n': 1, 'dim': 504, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.504a', 'nt': [1008, 0], 'q_character': None, 'values': [[[504, 0]], [[280, 0]], [[112, 0]], [[0, 0]], [[-56, 0]], [[32, 0]], [[16, 0]], [[8, 0]], [[8, 0]], [[30, 0]], [[-3, 0]], [[0, 0]], [[8, 0]], [[20, 0]], [[-8, 0]], [[4, 0]], [[-8, 0]], [[-16, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[30, 0]], [[10, 0]], [[10, 0]], [[-2, 0]], [[-2, 0]], [[-6, 0]], [[-3, 0]], [[-3, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250556
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 47, 'cyclotomic_n': 1, 'dim': 504, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.504b', 'nt': [1152, 0], 'q_character': None, 'values': [[[504, 0]], [[56, 0]], [[-56, 0]], [[-24, 0]], [[24, 0]], [[44, 0]], [[12, 0]], [[0, 0]], [[-4, 0]], [[39, 0]], [[6, 0]], [[0, 0]], [[-36, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[12, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-9, 0]], [[11, 0]], [[-21, 0]], [[-9, 0]], [[7, 0]], [[3, 0]], [[-6, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[3, 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]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7250557
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 48, 'cyclotomic_n': 1, 'dim': 504, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.504c', 'nt': [1260, 0], 'q_character': None, 'values': [[[504, 0]], [[56, 0]], [[-56, 0]], [[-24, 0]], [[24, 0]], [[-36, 0]], [[-4, 0]], [[0, 0]], [[12, 0]], [[39, 0]], [[6, 0]], [[0, 0]], [[44, 0]], [[-4, 0]], [[12, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-9, 0]], [[11, 0]], [[-21, 0]], [[-9, 0]], [[7, 0]], [[3, 0]], [[-6, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[2, 0]], [[-2, 0]], [[-1, 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]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7250558
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 49, 'cyclotomic_n': 1, 'dim': 504, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.504d', 'nt': [1512, 0], 'q_character': None, 'values': [[[504, 0]], [[280, 0]], [[112, 0]], [[0, 0]], [[-56, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[-16, 0]], [[30, 0]], [[-3, 0]], [[0, 0]], [[32, 0]], [[20, 0]], [[16, 0]], [[4, 0]], [[8, 0]], [[8, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[30, 0]], [[10, 0]], [[10, 0]], [[-2, 0]], [[-2, 0]], [[-6, 0]], [[-3, 0]], [[-3, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250560
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 50, 'cyclotomic_n': 1, 'dim': 504, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.504e', 'nt': [1890, 0], 'q_character': None, 'values': [[[504, 0]], [[-392, 0]], [[280, 0]], [[-168, 0]], [[56, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[-24, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[24, 0]], [[16, 0]], [[-16, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 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]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 7250561
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 51, 'cyclotomic_n': 1, 'dim': 504, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.504f', 'nt': [2016, 0], 'q_character': None, 'values': [[[504, 0]], [[280, 0]], [[112, 0]], [[0, 0]], [[-56, 0]], [[12, 0]], [[-4, 0]], [[0, 0]], [[-12, 0]], [[-15, 0]], [[6, 0]], [[0, 0]], [[28, 0]], [[20, 0]], [[12, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-6, 0]], [[-15, 0]], [[-5, 0]], [[-5, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250562
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 52, 'cyclotomic_n': 1, 'dim': 504, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.504g', 'nt': [2016, 0], 'q_character': None, 'values': [[[504, 0]], [[280, 0]], [[112, 0]], [[0, 0]], [[-56, 0]], [[28, 0]], [[12, 0]], [[0, 0]], [[4, 0]], [[-15, 0]], [[6, 0]], [[0, 0]], [[12, 0]], [[20, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-12, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-6, 0]], [[-15, 0]], [[-5, 0]], [[-5, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[6, 0]], [[6, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[3, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250563
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 53, 'cyclotomic_n': 1, 'dim': 540, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.540a', 'nt': [1008, 0], 'q_character': None, 'values': [[[540, 0]], [[300, 0]], [[120, 0]], [[0, 0]], [[-60, 0]], [[0, 0]], [[8, 0]], [[-12, 0]], [[12, 0]], [[45, 0]], [[0, 0]], [[0, 0]], [[-20, 0]], [[-10, 0]], [[-12, 0]], [[-2, 0]], [[12, 0]], [[-8, 0]], [[2, 0]], [[6, 0]], [[-6, 0]], [[0, 0]], [[-4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[45, 0]], [[15, 0]], [[15, 0]], [[-3, 0]], [[-3, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-4, 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]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250564
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 54, 'cyclotomic_n': 1, 'dim': 540, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.540b', 'nt': [1512, 0], 'q_character': None, 'values': [[[540, 0]], [[300, 0]], [[120, 0]], [[0, 0]], [[-60, 0]], [[-20, 0]], [[-12, 0]], [[12, 0]], [[-8, 0]], [[45, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 0]], [[8, 0]], [[-2, 0]], [[-12, 0]], [[12, 0]], [[2, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[45, 0]], [[15, 0]], [[15, 0]], [[-3, 0]], [[-3, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250565
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 55, 'cyclotomic_n': 1, 'dim': 576, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.576a', 'nt': [3024, 0], 'q_character': None, 'values': [[[576, 0]], [[-448, 0]], [[320, 0]], [[-192, 0]], [[64, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[24, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[-24, 0]], [[-16, 0]], [[16, 0]], [[-8, 0]], [[8, 0]], [[0, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 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]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 7250566
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 56, 'cyclotomic_n': 1, 'dim': 630, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.630a', 'nt': [1512, 0], 'q_character': None, 'values': [[[630, 0]], [[70, 0]], [[-70, 0]], [[-30, 0]], [[30, 0]], [[-10, 0]], [[-2, 0]], [[6, 0]], [[10, 0]], [[15, 0]], [[-6, 0]], [[0, 0]], [[30, 0]], [[0, 0]], [[6, 0]], [[-8, 0]], [[6, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-45, 0]], [[25, 0]], [[-15, 0]], [[-9, 0]], [[11, 0]], [[-3, 0]], [[6, 0]], [[0, 0]], [[-5, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 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]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250567
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 57, 'cyclotomic_n': 1, 'dim': 630, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.630b', 'nt': [1512, 0], 'q_character': None, 'values': [[[630, 0]], [[70, 0]], [[-70, 0]], [[-30, 0]], [[30, 0]], [[30, 0]], [[6, 0]], [[6, 0]], [[2, 0]], [[15, 0]], [[-6, 0]], [[0, 0]], [[-10, 0]], [[0, 0]], [[-2, 0]], [[-8, 0]], [[6, 0]], [[10, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-45, 0]], [[25, 0]], [[-15, 0]], [[-9, 0]], [[11, 0]], [[-3, 0]], [[6, 0]], [[0, 0]], [[-1, 0]], [[3, 0]], [[-2, 0]], [[2, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-5, 0]], [[-1, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 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]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250568
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 58, 'cyclotomic_n': 1, 'dim': 630, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.630c', 'nt': [1890, 0], 'q_character': None, 'values': [[[630, 0]], [[-490, 0]], [[350, 0]], [[-210, 0]], [[70, 0]], [[10, 0]], [[-6, 0]], [[-2, 0]], [[2, 0]], [[-30, 0]], [[3, 0]], [[0, 0]], [[10, 0]], [[-10, 0]], [[-6, 0]], [[6, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[30, 0]], [[20, 0]], [[-20, 0]], [[10, 0]], [[-10, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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]]]}
  • id: 7250569
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 59, 'cyclotomic_n': 1, 'dim': 720, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.720a', 'nt': [2520, 0], 'q_character': None, 'values': [[[720, 0]], [[400, 0]], [[160, 0]], [[0, 0]], [[-80, 0]], [[-40, 0]], [[-8, 0]], [[0, 0]], [[8, 0]], [[30, 0]], [[6, 0]], [[0, 0]], [[-40, 0]], [[-40, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[30, 0]], [[10, 0]], [[10, 0]], [[-2, 0]], [[-2, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 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]]]}
  • id: 7250571
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 60, 'cyclotomic_n': 1, 'dim': 756, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.756a', 'nt': [1120, 0], 'q_character': None, 'values': [[[756, 0]], [[-252, 0]], [[0, 0]], [[72, 0]], [[-36, 0]], [[40, 0]], [[-16, 0]], [[12, 0]], [[4, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[-20, 0]], [[-10, 0]], [[20, 0]], [[-2, 0]], [[-12, 0]], [[-8, 0]], [[2, 0]], [[6, 0]], [[-6, 0]], [[0, 0]], [[-4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[9, 0]], [[-9, 0]], [[-9, 0]], [[9, 0]], [[9, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 7250572
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 61, 'cyclotomic_n': 1, 'dim': 756, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.756b', 'nt': [1680, 0], 'q_character': None, 'values': [[[756, 0]], [[-252, 0]], [[0, 0]], [[72, 0]], [[-36, 0]], [[-20, 0]], [[20, 0]], [[-12, 0]], [[-8, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[40, 0]], [[-10, 0]], [[-16, 0]], [[-2, 0]], [[12, 0]], [[4, 0]], [[2, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[2, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-4, 0]], [[9, 0]], [[-9, 0]], [[-9, 0]], [[9, 0]], [[9, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 7250573
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 62, 'cyclotomic_n': 1, 'dim': 756, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.756c', 'nt': [2016, 0], 'q_character': None, 'values': [[[756, 0]], [[420, 0]], [[168, 0]], [[0, 0]], [[-84, 0]], [[8, 0]], [[0, 0]], [[12, 0]], [[-4, 0]], [[-45, 0]], [[0, 0]], [[0, 0]], [[12, 0]], [[10, 0]], [[4, 0]], [[2, 0]], [[-12, 0]], [[0, 0]], [[-2, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[-4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-45, 0]], [[-15, 0]], [[-15, 0]], [[3, 0]], [[3, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250574
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 63, 'cyclotomic_n': 1, 'dim': 756, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.756d', 'nt': [2520, 0], 'q_character': None, 'values': [[[756, 0]], [[84, 0]], [[-84, 0]], [[-36, 0]], [[36, 0]], [[-4, 0]], [[12, 0]], [[-12, 0]], [[4, 0]], [[36, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-16, 0]], [[12, 0]], [[0, 0]], [[-12, 0]], [[4, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-36, 0]], [[24, 0]], [[-24, 0]], [[-12, 0]], [[12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7250575
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 64, 'cyclotomic_n': 1, 'dim': 756, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.756e', 'nt': [3024, 0], 'q_character': None, 'values': [[[756, 0]], [[420, 0]], [[168, 0]], [[0, 0]], [[-84, 0]], [[12, 0]], [[4, 0]], [[-12, 0]], [[0, 0]], [[-45, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[10, 0]], [[0, 0]], [[2, 0]], [[12, 0]], [[-4, 0]], [[-2, 0]], [[6, 0]], [[-6, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[6, 0]], [[-45, 0]], [[-15, 0]], [[-15, 0]], [[3, 0]], [[3, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250576
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 65, 'cyclotomic_n': 15, 'dim': 756, 'faithful': True, 'field': [4, -1, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.756f1', 'nt': [7560, 0], 'q_character': None, 'values': [[[756, 0]], [[84, 0]], [[-84, 0]], [[-36, 0]], [[36, 0]], [[-4, 0]], [[12, 0]], [[-12, 0]], [[4, 0]], [[-18, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-16, 0]], [[12, 0]], [[0, 0]], [[-12, 0]], [[4, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[18, 0]], [[-12, 0]], [[12, 0]], [[6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]]]}
  • id: 7250577
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 66, 'cyclotomic_n': 15, 'dim': 756, 'faithful': True, 'field': [4, -1, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.756f2', 'nt': [7560, 2], 'q_character': None, 'values': [[[756, 0]], [[84, 0]], [[-84, 0]], [[-36, 0]], [[36, 0]], [[-4, 0]], [[12, 0]], [[-12, 0]], [[4, 0]], [[-18, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-16, 0]], [[12, 0]], [[0, 0]], [[-12, 0]], [[4, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[18, 0]], [[-12, 0]], [[12, 0]], [[6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]]]}
  • id: 7250578
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 67, 'cyclotomic_n': 1, 'dim': 840, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.840a', 'nt': [2240, 0], 'q_character': None, 'values': [[[840, 0]], [[-280, 0]], [[0, 0]], [[80, 0]], [[-40, 0]], [[-40, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[30, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[20, 0]], [[-16, 0]], [[4, 0]], [[-8, 0]], [[8, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 0]], [[-10, 0]], [[-10, 0]], [[14, 0]], [[6, 0]], [[-10, 0]], [[-1, 0]], [[-1, 0]], [[-6, 0]], [[2, 0]], [[-1, 0]], [[3, 0]], [[2, 0]], [[-1, 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]], [[2, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 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]]]}
  • id: 7250579
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 68, 'cyclotomic_n': 1, 'dim': 840, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.840b', 'nt': [2240, 0], 'q_character': None, 'values': [[[840, 0]], [[-280, 0]], [[0, 0]], [[80, 0]], [[-40, 0]], [[0, 0]], [[-16, 0]], [[-8, 0]], [[8, 0]], [[30, 0]], [[3, 0]], [[3, 0]], [[-40, 0]], [[20, 0]], [[8, 0]], [[4, 0]], [[8, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 0]], [[-10, 0]], [[-10, 0]], [[14, 0]], [[6, 0]], [[-10, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-6, 0]], [[-1, 0]], [[3, 0]], [[2, 0]], [[-1, 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]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 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]]]}
  • id: 7250580
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 69, 'cyclotomic_n': 1, 'dim': 840, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.840c', 'nt': [3024, 0], 'q_character': None, 'values': [[[840, 0]], [[-280, 0]], [[0, 0]], [[80, 0]], [[-40, 0]], [[20, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-45, 0]], [[6, 0]], [[-6, 0]], [[20, 0]], [[-20, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[35, 0]], [[5, 0]], [[5, 0]], [[-13, 0]], [[3, 0]], [[5, 0]], [[2, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[6, 0]], [[1, 0]], [[-4, 0]], [[2, 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]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 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]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250582
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  • id: 7250583
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 71, 'cyclotomic_n': 1, 'dim': 1008, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.1008a', 'nt': [3780, 0], 'q_character': None, 'values': [[[1008, 0]], [[112, 0]], [[-112, 0]], [[-48, 0]], [[48, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[8, 0]], [[6, 0]], [[-6, 0]], [[0, 0]], [[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[54, 0]], [[-26, 0]], [[6, 0]], [[6, 0]], [[-10, 0]], [[6, 0]], [[6, 0]], [[0, 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]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7250584
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 72, 'cyclotomic_n': 1, 'dim': 1260, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.1260a', 'nt': [2160, 0], 'q_character': None, 'values': [[[1260, 0]], [[140, 0]], [[-140, 0]], [[-60, 0]], [[60, 0]], [[20, 0]], [[4, 0]], [[12, 0]], [[12, 0]], [[-60, 0]], [[6, 0]], [[0, 0]], [[20, 0]], [[0, 0]], [[4, 0]], [[-16, 0]], [[12, 0]], [[12, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-10, 0]], [[30, 0]], [[12, 0]], [[-8, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[-4, 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]], [[-4, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250585
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 73, 'cyclotomic_n': 1, 'dim': 1260, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.1260b', 'nt': [3360, 0], 'q_character': None, 'values': [[[1260, 0]], [[700, 0]], [[280, 0]], [[0, 0]], [[-140, 0]], [[0, 0]], [[8, 0]], [[4, 0]], [[12, 0]], [[-15, 0]], [[-3, 0]], [[0, 0]], [[-20, 0]], [[-10, 0]], [[-12, 0]], [[-2, 0]], [[-4, 0]], [[-8, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-15, 0]], [[-5, 0]], [[-5, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[4, 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]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250586
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 74, 'cyclotomic_n': 1, 'dim': 1260, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.1260c', 'nt': [5040, 0], 'q_character': None, 'values': [[[1260, 0]], [[700, 0]], [[280, 0]], [[0, 0]], [[-140, 0]], [[-20, 0]], [[-12, 0]], [[-4, 0]], [[-8, 0]], [[-15, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-10, 0]], [[8, 0]], [[-2, 0]], [[4, 0]], [[12, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-15, 0]], [[-5, 0]], [[-5, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250587
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 75, 'cyclotomic_n': 1, 'dim': 1344, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.1344a', 'nt': [6048, 0], 'q_character': None, 'values': [[[1344, 0]], [[-448, 0]], [[0, 0]], [[128, 0]], [[-64, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-24, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[56, 0]], [[-16, 0]], [[-16, 0]], [[8, 0]], [[24, 0]], [[-16, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-6, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 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]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 7250588
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 76, 'cyclotomic_n': 15, 'dim': 1344, 'faithful': True, 'field': [4, -1, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.1344b1', 'nt': [13440, 0], 'q_character': None, 'values': [[[1344, 0]], [[-448, 0]], [[0, 0]], [[128, 0]], [[-64, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-48, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[32, 0]], [[8, 0]], [[8, 0]], [[-16, 0]], [[0, 0]], [[8, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 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]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]]]}
  • id: 7250589
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 77, 'cyclotomic_n': 15, 'dim': 1344, 'faithful': True, 'field': [4, -1, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.1344b2', 'nt': [13440, 2], 'q_character': None, 'values': [[[1344, 0]], [[-448, 0]], [[0, 0]], [[128, 0]], [[-64, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-48, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[32, 0]], [[8, 0]], [[8, 0]], [[-16, 0]], [[0, 0]], [[8, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 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, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[-2, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[2, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]], [[-1, 0], [2, 1], [1, 2], [-1, 3], [2, 4], [-1, 5], [1, 7]], [[1, 0], [-2, 1], [-1, 2], [1, 3], [-2, 4], [1, 5], [-1, 7]]]}
  • id: 7250590
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 78, 'cyclotomic_n': 1, 'dim': 1512, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.1512a', 'nt': [3780, 0], 'q_character': None, 'values': [[[1512, 0]], [[168, 0]], [[-168, 0]], [[-72, 0]], [[72, 0]], [[-44, 0]], [[-12, 0]], [[0, 0]], [[4, 0]], [[45, 0]], [[0, 0]], [[0, 0]], [[36, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[-12, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-3, 0]], [[45, 0]], [[-15, 0]], [[-15, 0]], [[-3, 0]], [[-3, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-3, 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]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250591
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 79, 'cyclotomic_n': 1, 'dim': 1512, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.1512b', 'nt': [3780, 0], 'q_character': None, 'values': [[[1512, 0]], [[168, 0]], [[-168, 0]], [[-72, 0]], [[72, 0]], [[36, 0]], [[4, 0]], [[0, 0]], [[-12, 0]], [[45, 0]], [[0, 0]], [[0, 0]], [[-44, 0]], [[4, 0]], [[-12, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-3, 0]], [[45, 0]], [[-15, 0]], [[-15, 0]], [[-3, 0]], [[-3, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[1, 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]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250593
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 80, 'cyclotomic_n': 1, 'dim': 1512, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.1512c', 'nt': [5040, 0], 'q_character': None, 'values': [[[1512, 0]], [[-504, 0]], [[0, 0]], [[144, 0]], [[-72, 0]], [[20, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[20, 0]], [[-20, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-8, 0]], [[-9, 0]], [[9, 0]], [[9, 0]], [[-9, 0]], [[-9, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 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]], [[8, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 7250594
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 81, 'cyclotomic_n': 1, 'dim': 1680, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.1680a', 'nt': [7560, 0], 'q_character': None, 'values': [[[1680, 0]], [[-560, 0]], [[0, 0]], [[160, 0]], [[-80, 0]], [[-40, 0]], [[-8, 0]], [[0, 0]], [[8, 0]], [[30, 0]], [[0, 0]], [[-3, 0]], [[-40, 0]], [[40, 0]], [[-8, 0]], [[8, 0]], [[0, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-50, 0]], [[10, 0]], [[10, 0]], [[-2, 0]], [[-18, 0]], [[10, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[-2, 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]], [[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]], [[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: 7250595
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 82, 'cyclotomic_n': 1, 'dim': 1890, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.1890a', 'nt': [4536, 0], 'q_character': None, 'values': [[[1890, 0]], [[210, 0]], [[-210, 0]], [[-90, 0]], [[90, 0]], [[-10, 0]], [[-18, 0]], [[-6, 0]], [[2, 0]], [[-45, 0]], [[0, 0]], [[0, 0]], [[30, 0]], [[20, 0]], [[-10, 0]], [[-4, 0]], [[-6, 0]], [[-6, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-45, 0]], [[15, 0]], [[15, 0]], [[3, 0]], [[3, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250596
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 83, 'cyclotomic_n': 1, 'dim': 1890, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.1890b', 'nt': [4536, 0], 'q_character': None, 'values': [[[1890, 0]], [[210, 0]], [[-210, 0]], [[-90, 0]], [[90, 0]], [[30, 0]], [[-10, 0]], [[-6, 0]], [[-6, 0]], [[-45, 0]], [[0, 0]], [[0, 0]], [[-10, 0]], [[20, 0]], [[-18, 0]], [[-4, 0]], [[-6, 0]], [[2, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-45, 0]], [[15, 0]], [[15, 0]], [[3, 0]], [[3, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7250597
    {'center': None, 'center_index': 46448640, 'center_order': 1, 'counter': 84, 'cyclotomic_n': 1, 'dim': 2268, 'faithful': True, 'field': [0, 1], 'group': '46448640.a', 'group_counter': 1, 'group_order': 46448640, 'image': None, 'image_isoclass': '46448640.a', 'image_order': 46448640, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '46448640.a.2268a', 'nt': [7560, 0], 'q_character': None, 'values': [[[2268, 0]], [[252, 0]], [[-252, 0]], [[-108, 0]], [[108, 0]], [[-36, 0]], [[12, 0]], [[12, 0]], [[-12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-36, 0]], [[-24, 0]], [[12, 0]], [[24, 0]], [[12, 0]], [[-12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 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]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 66828907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 46448640, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 210, 'label': '46448640.a.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': True, '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': False, 'special_labels': ['D', 'PC', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '46448640.a', 'subgroup_hash': 3081077742121420989, 'subgroup_order': 46448640, 'subgroup_tex': 'C_2^8.A_9', 'supersolvable': False, 'sylow': 0}
  • id: 66829018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5160960.a', 'subgroup_hash': 3201394906273864445, 'subgroup_order': 5160960, 'subgroup_tex': 'C_2^8.A_8', 'supersolvable': False, 'sylow': 0}
  • id: 66829129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2580480.a', 'subgroup_hash': 798515376437568870, 'subgroup_order': 2580480, 'subgroup_tex': 'C_2^7.A_8', 'supersolvable': False, 'sylow': 0}
  • id: 66829240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.36.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1290240.a', 'subgroup_hash': 7900079499674502036, 'subgroup_order': 1290240, 'subgroup_tex': 'C_2^8.S_7', 'supersolvable': False, 'sylow': 0}
  • id: 66829351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.72.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '645120.b', 'subgroup_hash': 119322651117694341, 'subgroup_order': 645120, 'subgroup_tex': 'C_2^6.A_7:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.72.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '645120.a', 'subgroup_hash': 6421452807768585577, 'subgroup_order': 645120, 'subgroup_tex': 'C_2^7.S_7', 'supersolvable': False, 'sylow': 0}
  • id: 66829573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.72.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '645120.d', 'subgroup_hash': 1697214291272590847, 'subgroup_order': 645120, 'subgroup_tex': 'C_2^8.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 66829684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.84.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '552960.c', 'subgroup_hash': 6209228273935511000, 'subgroup_order': 552960, 'subgroup_tex': 'C_2\\wr A_6.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.120.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '387072.a', 'subgroup_hash': 854758701050314474, 'subgroup_order': 387072, 'subgroup_tex': 'C_2^8:{}^2G(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66828908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.126.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 126, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '368640.bn', 'subgroup_hash': 5855240649545087904, 'subgroup_order': 368640, 'subgroup_tex': 'C_2^8.A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.135.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '135.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 135, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '344064.a', 'subgroup_hash': 3841896127336423926, 'subgroup_order': 344064, 'subgroup_tex': 'C_2\\wr C_2^3.\\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 66828930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.144.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '322560.c', 'subgroup_hash': 7473853409580478337, 'subgroup_order': 322560, 'subgroup_tex': 'C_2^7.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 66828941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.144.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '322560.c', 'subgroup_hash': 7473853409580478337, 'subgroup_order': 322560, 'subgroup_tex': 'C_2^7.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 66828952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.144.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '322560.b', 'subgroup_hash': 5245026033693325185, 'subgroup_order': 322560, 'subgroup_tex': 'C_2^6.S_7', 'supersolvable': False, 'sylow': 0}
  • id: 66828963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.168.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '168.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '276480.g', 'subgroup_hash': 1630070221208410342, 'subgroup_order': 276480, 'subgroup_tex': '(A_4\\times C_2^5).S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66828974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.168.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '168.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '276480.f', 'subgroup_hash': 4938073266823018042, 'subgroup_order': 276480, 'subgroup_tex': '(A_4\\times C_2^5).S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66828985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.168.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '168.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '276480.a', 'subgroup_hash': 7336910258808137949, 'subgroup_order': 276480, 'subgroup_tex': 'A_4\\times C_2\\wr A_6', 'supersolvable': False, 'sylow': 0}
  • id: 66828996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.252.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '184320.s', 'subgroup_hash': 3239848635437980070, 'subgroup_order': 184320, 'subgroup_tex': 'C_2^7.A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.252.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '184320.t', 'subgroup_hash': 5753214928277638371, 'subgroup_order': 184320, 'subgroup_tex': 'C_2^7.A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.252.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '184320.n', 'subgroup_hash': 1413374001386277338, 'subgroup_order': 184320, 'subgroup_tex': 'C_2^8.(A_4\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.252.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6924123322918358032, 'subgroup_order': 184320, 'subgroup_tex': 'C_2^8.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.256.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '256.a1', 'outer_equivalence': True, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '181440.b', 'subgroup_hash': 4997447077356018806, 'subgroup_order': 181440, 'subgroup_tex': 'A_9', 'supersolvable': False, 'sylow': 0}
  • id: 66829052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.270.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '270.a1', 'outer_equivalence': True, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 270, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '172032.a', 'subgroup_hash': 704475650969766946, 'subgroup_order': 172032, 'subgroup_tex': 'C_2^4.C_2^6:\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.280.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '280.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '165888.s', 'subgroup_hash': 4945681733786468538, 'subgroup_order': 165888, 'subgroup_tex': 'A_4:S_4^2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.288.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.a1', 'outer_equivalence': True, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '161280.a', 'subgroup_hash': 129110959342635840, 'subgroup_order': 161280, 'subgroup_tex': 'C_2^6:A_7', 'supersolvable': False, 'sylow': 0}
  • id: 66829085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.315.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '315.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 315, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '147456.d', 'subgroup_hash': 6782731544248062846, 'subgroup_order': 147456, 'subgroup_tex': 'C_2^8.\\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66829096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.336.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '336.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '138240.b', 'subgroup_hash': 8192495761974458684, 'subgroup_order': 138240, 'subgroup_tex': 'A_4\\times C_2^5:A_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.336.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '336.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '138240.f', 'subgroup_hash': 4151300259947893395, 'subgroup_order': 138240, 'subgroup_tex': '(C_2^5\\times C_6).S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.360.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '360.a1', 'outer_equivalence': True, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '129024.a', 'subgroup_hash': 4838634085361710012, 'subgroup_order': 129024, 'subgroup_tex': 'C_2^8:\\SL(2,8)', 'supersolvable': False, 'sylow': 0}
  • id: 66829130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.378.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '378.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 378, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '122880.du', 'subgroup_hash': 1299153902950787894, 'subgroup_order': 122880, 'subgroup_tex': 'C_2^7.(D_4\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.504.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6578157567013372252, 'subgroup_order': 92160, 'subgroup_tex': 'C_2^7.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.504.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1389870213116286748, 'subgroup_order': 92160, 'subgroup_tex': 'C_2^7.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.504.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3542502706438687363, 'subgroup_order': 92160, 'subgroup_tex': 'C_2^7.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.504.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5629569621833167180, 'subgroup_order': 92160, 'subgroup_tex': 'C_2^7.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.504.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '92160.z', 'subgroup_hash': 1911803398183956592, 'subgroup_order': 92160, 'subgroup_tex': 'C_2^7.(A_4\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.504.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8569907469678054862, 'subgroup_order': 92160, 'subgroup_tex': 'C_2^7.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.504.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '92160.n', 'subgroup_hash': 3612679791692980922, 'subgroup_order': 92160, 'subgroup_tex': 'C_2^7.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.504.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '92160.u', 'subgroup_hash': 2774387197258807296, 'subgroup_order': 92160, 'subgroup_tex': 'C_2\\wr A_5.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.504.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2558532247189329262, 'subgroup_order': 92160, 'subgroup_tex': 'A_4.C_2^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.504.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4840903144970340169, 'subgroup_order': 92160, 'subgroup_tex': 'C_2^8.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.560.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '560.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5030185672578985635, 'subgroup_order': 82944, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66829263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.630.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '73728.j', 'subgroup_hash': 1268594035244738679, 'subgroup_order': 73728, 'subgroup_tex': 'C_2^7.\\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66829274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.630.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '73728.c', 'subgroup_hash': 3915720841632013404, 'subgroup_order': 73728, 'subgroup_tex': 'C_2^7.\\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66829285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.630.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '73728.g', 'subgroup_hash': 7241372923153751611, 'subgroup_order': 73728, 'subgroup_tex': 'C_2^7.\\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66829296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.630.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '73728.b', 'subgroup_hash': 408005904342246632, 'subgroup_order': 73728, 'subgroup_tex': 'C_2^8.A_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.630.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6624450764829320064, 'subgroup_order': 73728, 'subgroup_tex': 'C_2^4.C_2^6.C_3.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.672.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '672.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '69120.b', 'subgroup_hash': 2976015399253408174, 'subgroup_order': 69120, 'subgroup_tex': 'C_3\\times C_2\\wr A_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.672.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '672.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '69120.h', 'subgroup_hash': 5250131851667964361, 'subgroup_order': 69120, 'subgroup_tex': '(C_2^4\\times C_6).S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.672.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '672.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '69120.i', 'subgroup_hash': 8928107684695818664, 'subgroup_order': 69120, 'subgroup_tex': '(C_2^4\\times C_6):S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.756.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '756.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '61440.cp', 'subgroup_hash': 1226502690822624729, 'subgroup_order': 61440, 'subgroup_tex': 'C_2^7.C_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.756.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '756.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '61440.cn', 'subgroup_hash': 5380491902034601036, 'subgroup_order': 61440, 'subgroup_tex': 'D_4.C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.756.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '756.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '61440.co', 'subgroup_hash': 4380206460500721229, 'subgroup_order': 61440, 'subgroup_tex': 'C_2^7.(C_4\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.756.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '756.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '61440.ck', 'subgroup_hash': 4293276899850493281, 'subgroup_order': 61440, 'subgroup_tex': 'C_2^7.(C_2^2\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.756.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '756.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '61440.by', 'subgroup_hash': 1582215945228444997, 'subgroup_order': 61440, 'subgroup_tex': 'C_2^8.A_4:F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.756.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '756.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '61440.cc', 'subgroup_hash': 702713756464702303, 'subgroup_order': 61440, 'subgroup_tex': 'C_2^6:D_4.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.756.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '756.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '61440.cb', 'subgroup_hash': 2192564023963704543, 'subgroup_order': 61440, 'subgroup_tex': 'C_2^7.(D_4\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.756.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '756.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5216191913343142817, 'subgroup_order': 61440, 'subgroup_tex': 'C_2^7.C_2^2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.840.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.ec', 'subgroup_hash': 7479099307246707865, 'subgroup_order': 55296, 'subgroup_tex': 'A_4^3.C_2^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.840.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55296.i', 'subgroup_hash': 477120611309767317, 'subgroup_order': 55296, 'subgroup_tex': 'C_2^8:\\PU(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.945.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '945.aB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 945, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '49152.v', 'subgroup_hash': 5506504101016959869, 'subgroup_order': 49152, 'subgroup_tex': 'C_2\\wr C_2^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.945.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '945.aC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 945, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '49152.x', 'subgroup_hash': 4153172277624507931, 'subgroup_order': 49152, 'subgroup_tex': 'C_2\\wr C_2^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1848701879966363874, 'subgroup_order': 46080, 'subgroup_tex': 'C_2^6.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7927153708455755431, 'subgroup_order': 46080, 'subgroup_tex': 'C_2^6.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.w', 'subgroup_hash': 2466616002735433270, 'subgroup_order': 46080, 'subgroup_tex': 'C_2^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.u', 'subgroup_hash': 4349583354239411210, 'subgroup_order': 46080, 'subgroup_tex': 'C_2^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.ba', 'subgroup_hash': 2249993282813596786, 'subgroup_order': 46080, 'subgroup_tex': 'A_4.C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.ba', 'subgroup_hash': 2249993282813596786, 'subgroup_order': 46080, 'subgroup_tex': 'A_4.C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.v', 'subgroup_hash': 3232762982850208947, 'subgroup_order': 46080, 'subgroup_tex': 'C_2^7:A_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.bn', 'subgroup_hash': 9178914436023166300, 'subgroup_order': 46080, 'subgroup_tex': '(A_4\\times C_2^5):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.bo', 'subgroup_hash': 531283040595470153, 'subgroup_order': 46080, 'subgroup_tex': '(A_4\\times C_2^5).S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.ba', 'subgroup_hash': 2249993282813596786, 'subgroup_order': 46080, 'subgroup_tex': 'A_4.C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.ba', 'subgroup_hash': 2249993282813596786, 'subgroup_order': 46080, 'subgroup_tex': 'A_4.C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6022822258026183224, 'subgroup_order': 46080, 'subgroup_tex': 'C_2^7.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.bs', 'subgroup_hash': 2762313016417320399, 'subgroup_order': 46080, 'subgroup_tex': '(C_2^4\\times \\SL(2,3)):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.ba', 'subgroup_hash': 2249993282813596786, 'subgroup_order': 46080, 'subgroup_tex': 'A_4.C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.ba', 'subgroup_hash': 2249993282813596786, 'subgroup_order': 46080, 'subgroup_tex': 'A_4.C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.ba', 'subgroup_hash': 2249993282813596786, 'subgroup_order': 46080, 'subgroup_tex': 'A_4.C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.c', 'subgroup_hash': 1618601660954992192, 'subgroup_order': 46080, 'subgroup_tex': 'C_2^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.v', 'subgroup_hash': 3232762982850208947, 'subgroup_order': 46080, 'subgroup_tex': 'C_2^7:A_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.bg', 'subgroup_hash': 8549233805446394464, 'subgroup_order': 46080, 'subgroup_tex': 'C_2^8.\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4934244079609684430, 'subgroup_order': 46080, 'subgroup_tex': 'A_4.C_2^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1008.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46080.c', 'subgroup_hash': 1618601660954992192, 'subgroup_order': 46080, 'subgroup_tex': 'C_2^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1080.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1080.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '43008.bz', 'subgroup_hash': 6503243288825093839, 'subgroup_order': 43008, 'subgroup_tex': 'C_2^8.\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1080.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1080.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '43008.y', 'subgroup_hash': 4479900793081546041, 'subgroup_order': 43008, 'subgroup_tex': 'C_2^7.F_8:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1080.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1080.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '43008.bb', 'subgroup_hash': 7009079982153350141, 'subgroup_order': 43008, 'subgroup_tex': 'C_2^8.\\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 66829751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1120.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1120.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.r', 'subgroup_hash': 518986559053301305, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1120.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1120.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.j', 'subgroup_hash': 4961977302514827477, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1120.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1120.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41472.j', 'subgroup_hash': 4961977302514827477, 'subgroup_order': 41472, 'subgroup_tex': 'A_4^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1152.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1152.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1152, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40320.i', 'subgroup_hash': 4294857703306069094, 'subgroup_order': 40320, 'subgroup_tex': 'C_2\\times A_8', 'supersolvable': False, 'sylow': 0}
  • id: 66829796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1260.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1260.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1260, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36864.o', 'subgroup_hash': 3225701618151703163, 'subgroup_order': 36864, 'subgroup_tex': 'Q_8^2.\\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66829807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1260.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1260.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1260, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36864.n', 'subgroup_hash': 3315665836007802427, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^6.\\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66829818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1260.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1260.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1260, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36864.e', 'subgroup_hash': 2071123808751471438, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^7.A_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1260.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1260.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1260, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36864.d', 'subgroup_hash': 5559446233599964025, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^7.A_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1260.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1260.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1260, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5190905600968754884, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^4.C_2^6.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1260.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1260.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1260, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6989767172479737177, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^4.C_2^6.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1260.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1260.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1260, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6703504756005931627, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^4.C_2^6.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1260.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1260.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1260, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7276809471858034419, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^6.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1260.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1260.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1260, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1813382434215301558, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^6.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1260.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1260.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1260, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36864.mk', 'subgroup_hash': 4361451277907320274, 'subgroup_order': 36864, 'subgroup_tex': 'C_2^6.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66828909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1260.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1260.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1260, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8274932150085006933, 'subgroup_order': 36864, 'subgroup_tex': 'C_2.C_2^6.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66828910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1344.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1344.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1344, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '34560.d', 'subgroup_hash': 4431137512138728956, 'subgroup_order': 34560, 'subgroup_tex': 'C_3\\times C_2^5:A_6', 'supersolvable': False, 'sylow': 0}
  • id: 66828911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.do', 'subgroup_hash': 354516673360964148, 'subgroup_order': 30720, 'subgroup_tex': 'D_4:C_2^5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.dp', 'subgroup_hash': 7541820406808025224, 'subgroup_order': 30720, 'subgroup_tex': 'C_4.C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.cx', 'subgroup_hash': 9048903409950079939, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^7.(C_2\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66828914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.dq', 'subgroup_hash': 4248564882491756302, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^5.(D_4\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66828915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.cp', 'subgroup_hash': 837946527193887743, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^6:D_{10}.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.co', 'subgroup_hash': 1238305574894803985, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^6:D_{10}.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.cx', 'subgroup_hash': 9048903409950079939, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^7.(C_2\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66828918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.cw', 'subgroup_hash': 4300372366204642525, 'subgroup_order': 30720, 'subgroup_tex': '(D_4\\times C_2^5).S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.cs', 'subgroup_hash': 5052551530000449969, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^7.(C_4\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66828921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2363358685686713817, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^5.C_2^3.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.cu', 'subgroup_hash': 2371900985395098810, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^5.(C_2^4\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66828923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2936127596170348223, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^6.C_2^2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.dq', 'subgroup_hash': 4248564882491756302, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^5.(D_4\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66828925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8430289733593495468, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^7.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 207799051262734955, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^2.C_2^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.dw', 'subgroup_hash': 1697954878806517770, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^5.(D_4\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66828928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.dn', 'subgroup_hash': 8593577712807381797, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^5.(D_4\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66828929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.cn', 'subgroup_hash': 3403701925174882208, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^7.(A_4\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 66828931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1552098173217028462, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^8.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30720.dt', 'subgroup_hash': 5904411664066890837, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^6.(D_4\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66828933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1512.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1512.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3138427499108453286, 'subgroup_order': 30720, 'subgroup_tex': 'C_2^8.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1680.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1680.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27648.cw', 'subgroup_hash': 8109057461276421385, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times A_4^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1680.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1680.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27648.cx', 'subgroup_hash': 6096948281212796450, 'subgroup_order': 27648, 'subgroup_tex': '(C_2\\times A_4^3).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1680.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1680.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27648.cw', 'subgroup_hash': 8109057461276421385, 'subgroup_order': 27648, 'subgroup_tex': 'C_2\\times A_4^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1680.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1680.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27648.cx', 'subgroup_hash': 6096948281212796450, 'subgroup_order': 27648, 'subgroup_tex': '(C_2\\times A_4^3).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1680.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1680.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27648.cc', 'subgroup_hash': 7840524710185851732, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^2.(C_2\\times \\GL(2,\\mathbb{Z}/4))', 'supersolvable': False, 'sylow': 0}
  • id: 66828939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1680.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1680.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27648.bs', 'subgroup_hash': 7592617267082294268, 'subgroup_order': 27648, 'subgroup_tex': 'A_4^3:C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1680.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1680.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2075031860170035330, 'subgroup_order': 27648, 'subgroup_tex': 'C_2^6.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 66828942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1890.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1890.aB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1890, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.bm', 'subgroup_hash': 389395100497401276, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^7.Q_8:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1890.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1890.aC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1890, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.bi', 'subgroup_hash': 2898318352661464596, 'subgroup_order': 24576, 'subgroup_tex': 'C_4^2:C_2^4.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66828944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1890.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1890.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1890, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.bj', 'subgroup_hash': 284734046191768952, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^7.C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1890.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1890.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1890, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.be', 'subgroup_hash': 7010049617270329991, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^7.C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1890.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1890.dB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1890, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.bl', 'subgroup_hash': 8078430503714823265, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^4.C_2^6:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1890.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1890.dC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1890, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.bf', 'subgroup_hash': 7313712706507005866, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^4.C_2^6:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1890.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1890.eB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1890, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.bh', 'subgroup_hash': 3117495509022228432, 'subgroup_order': 24576, 'subgroup_tex': 'C_2\\wr Q_8.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1890.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1890.eC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1890, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.bd', 'subgroup_hash': 6403288932512310287, 'subgroup_order': 24576, 'subgroup_tex': 'C_2\\wr C_2^3.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1890.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1890.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1890, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24576.bk', 'subgroup_hash': 2996181492910769968, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^2\\wr C_2^2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1890.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1890.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1890, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7032090094184700143, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^4.(C_2^4\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66828953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.1890.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1890.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1890, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3667230914926409503, 'subgroup_order': 24576, 'subgroup_tex': 'C_2^4.C_2^6.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66828954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.v', 'subgroup_hash': 8672364091129316959, 'subgroup_order': 23040, 'subgroup_tex': 'C_2^6:A_6', 'supersolvable': False, 'sylow': 0}
  • id: 66828955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.bf', 'subgroup_hash': 6057451410065107310, 'subgroup_order': 23040, 'subgroup_tex': 'C_2^7:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 66828956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.bk', 'subgroup_hash': 2603336151739952259, 'subgroup_order': 23040, 'subgroup_tex': 'C_2^7:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 66828957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.bf', 'subgroup_hash': 6057451410065107310, 'subgroup_order': 23040, 'subgroup_tex': 'C_2^7:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 66828958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.bv', 'subgroup_hash': 3011617357421637874, 'subgroup_order': 23040, 'subgroup_tex': 'C_2\\wr A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.bs', 'subgroup_hash': 5386716324437753828, 'subgroup_order': 23040, 'subgroup_tex': 'C_2^4:A_5\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66828960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.bf', 'subgroup_hash': 6057451410065107310, 'subgroup_order': 23040, 'subgroup_tex': 'C_2^7:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 66828961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.bf', 'subgroup_hash': 6057451410065107310, 'subgroup_order': 23040, 'subgroup_tex': 'C_2^7:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 66828962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.bn', 'subgroup_hash': 3254328776932061489, 'subgroup_order': 23040, 'subgroup_tex': 'C_3:C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.dy', 'subgroup_hash': 4231623650859597282, 'subgroup_order': 23040, 'subgroup_tex': 'C_6:C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.p', 'subgroup_hash': 2091762261766804625, 'subgroup_order': 23040, 'subgroup_tex': 'C_2\\wr A_6', 'supersolvable': False, 'sylow': 0}
  • id: 66828966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.bg', 'subgroup_hash': 475636366206945435, 'subgroup_order': 23040, 'subgroup_tex': '(A_4\\times C_2^4):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.bg', 'subgroup_hash': 475636366206945435, 'subgroup_order': 23040, 'subgroup_tex': '(A_4\\times C_2^4):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.bg', 'subgroup_hash': 475636366206945435, 'subgroup_order': 23040, 'subgroup_tex': '(A_4\\times C_2^4):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.bg', 'subgroup_hash': 475636366206945435, 'subgroup_order': 23040, 'subgroup_tex': '(A_4\\times C_2^4):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.bg', 'subgroup_hash': 475636366206945435, 'subgroup_order': 23040, 'subgroup_tex': '(A_4\\times C_2^4):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.bg', 'subgroup_hash': 475636366206945435, 'subgroup_order': 23040, 'subgroup_tex': '(A_4\\times C_2^4):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66828972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.o', 'subgroup_hash': 5450417549721412542, 'subgroup_order': 23040, 'subgroup_tex': 'C_2^5.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66828973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.n', 'subgroup_hash': 5013196505738507484, 'subgroup_order': 23040, 'subgroup_tex': 'C_2^5:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66828975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2016.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23040.p', 'subgroup_hash': 2091762261766804625, 'subgroup_order': 23040, 'subgroup_tex': 'C_2\\wr A_6', 'supersolvable': False, 'sylow': 0}
  • id: 66828976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2160.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2160.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21504.t', 'subgroup_hash': 894598781295634951, 'subgroup_order': 21504, 'subgroup_tex': 'C_2^7.\\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 66828977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2160.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2160.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21504.u', 'subgroup_hash': 3190014064209402499, 'subgroup_order': 21504, 'subgroup_tex': 'C_2^7:F_8:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66828978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2160.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2160.c1', 'outer_equivalence': True, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21504.x', 'subgroup_hash': 366471881600492595, 'subgroup_order': 21504, 'subgroup_tex': 'C_2^7:\\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 66828979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2160.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2160.d1', 'outer_equivalence': True, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21504.y', 'subgroup_hash': 2095861522221326572, 'subgroup_order': 21504, 'subgroup_tex': 'C_2^4:C_2^3:\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66828980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2160.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2160.e1', 'outer_equivalence': True, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21504.z', 'subgroup_hash': 1225281111867364529, 'subgroup_order': 21504, 'subgroup_tex': 'C_2^4:C_2^3:\\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 66828981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2160.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2160.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21504.t', 'subgroup_hash': 894598781295634951, 'subgroup_order': 21504, 'subgroup_tex': 'C_2^7.\\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 66828982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2240.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2240.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.u', 'subgroup_hash': 7846712575540106752, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2240.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2240.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.r', 'subgroup_hash': 6793103466213069889, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2240.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2240.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.r', 'subgroup_hash': 6793103466213069889, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2240.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2240.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20736.r', 'subgroup_hash': 6793103466213069889, 'subgroup_order': 20736, 'subgroup_tex': 'A_4^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2268.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2268.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2268, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20480.dg', 'subgroup_hash': 3021518065446246983, 'subgroup_order': 20480, 'subgroup_tex': 'C_2^7.(D_4\\times F_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66828988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2304.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2304.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2304, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.i', 'subgroup_hash': 400301535558148305, 'subgroup_order': 20160, 'subgroup_tex': 'C_2^2:S_7', 'supersolvable': False, 'sylow': 0}
  • id: 66828989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2304.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2304.b1', 'outer_equivalence': True, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2304, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20160.a', 'subgroup_hash': 3764836782182912467, 'subgroup_order': 20160, 'subgroup_tex': 'A_8', 'supersolvable': False, 'sylow': 0}
  • id: 66828990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7150126536145229745, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^2.C_2^6.C_3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66828991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.p', 'subgroup_hash': 2130229453949857994, 'subgroup_order': 18432, 'subgroup_tex': 'Q_8^2.A_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66828992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5198219099667390649, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66828993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3376004066711642851, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66828994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1220508450110385499, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^4.C_2^6.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66828995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.jz', 'subgroup_hash': 8875263876982353469, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66828997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7192273216649939082, 'subgroup_order': 18432, 'subgroup_tex': 'C_2.C_2^6.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66828998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.jx', 'subgroup_hash': 4640434033119770631, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66828999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 880313296905118865, 'subgroup_order': 18432, 'subgroup_tex': 'C_2.C_2^6.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.jy', 'subgroup_hash': 2023095088386960333, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.jw', 'subgroup_hash': 789284326556712126, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3901652927785280196, 'subgroup_order': 18432, 'subgroup_tex': 'C_2.C_2^6.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2571005934406287078, 'subgroup_order': 18432, 'subgroup_tex': 'C_2.C_2^6.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4074237365150667012, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^6.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6813351336865415192, 'subgroup_order': 18432, 'subgroup_tex': 'Q_8.A_4^2.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1362250476693801906, 'subgroup_order': 18432, 'subgroup_tex': 'C_2.C_2^6.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3823502068767814515, 'subgroup_order': 18432, 'subgroup_tex': 'C_2.C_2^6.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3595443747352446732, 'subgroup_order': 18432, 'subgroup_tex': 'C_2.C_2^6.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6438741753760437711, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^3.A_4^2.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5218490661297805838, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.(C_6\\times S_4).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2566815144608933366, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.A_4.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.lr', 'subgroup_hash': 5250754937033373454, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.jc', 'subgroup_hash': 2940318798554682465, 'subgroup_order': 18432, 'subgroup_tex': 'C_2\\wr A_4.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5707837331113405602, 'subgroup_order': 18432, 'subgroup_tex': '(C_2^4\\times A_4).A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.iu', 'subgroup_hash': 6514702568530696066, 'subgroup_order': 18432, 'subgroup_tex': 'A_4\\times C_2\\wr S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5353444822003339003, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^3:A_4.(D_4\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.ir', 'subgroup_hash': 5901072977982171073, 'subgroup_order': 18432, 'subgroup_tex': 'C_2\\wr A_4.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5678519209930513344, 'subgroup_order': 18432, 'subgroup_tex': 'A_4^2.C_2^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4516455551823956582, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^5.(C_6\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2520.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2520.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18432.s', 'subgroup_hash': 4676254732137858275, 'subgroup_order': 18432, 'subgroup_tex': 'C_2^8.\\PSU(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.2688.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2688.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2688, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17280.j', 'subgroup_hash': 5227250358377646770, 'subgroup_order': 17280, 'subgroup_tex': 'C_2\\times A_4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '46448640.a.2835.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2835.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2835, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16384.ir', 'subgroup_hash': 8818796570770514665, 'subgroup_order': 16384, 'subgroup_tex': 'C_2^7.C_2\\wr D_4', 'supersolvable': True, 'sylow': 2}
  • id: 66829026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8715210792905001446, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1174527880844208798, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cn', 'subgroup_hash': 7323117051306785985, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cn', 'subgroup_hash': 7323117051306785985, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.e', 'subgroup_hash': 125128510490231947, 'subgroup_order': 15360, 'subgroup_tex': 'D_4\\times C_2^4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.e', 'subgroup_hash': 125128510490231947, 'subgroup_order': 15360, 'subgroup_tex': 'D_4\\times C_2^4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4420416694574372243, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4545948324662018036, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cn', 'subgroup_hash': 7323117051306785985, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cn', 'subgroup_hash': 7323117051306785985, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cv', 'subgroup_hash': 5844703762750991755, 'subgroup_order': 15360, 'subgroup_tex': '(Q_8\\times C_2^4):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.co', 'subgroup_hash': 2852567379519833748, 'subgroup_order': 15360, 'subgroup_tex': '(D_4\\times C_2^4):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cw', 'subgroup_hash': 1289821987183333867, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^5.(C_4\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cn', 'subgroup_hash': 7323117051306785985, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.ch', 'subgroup_hash': 6925731638671907078, 'subgroup_order': 15360, 'subgroup_tex': 'C_4.C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1776130090978567404, 'subgroup_order': 15360, 'subgroup_tex': '(C_2^5\\times C_4).S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 690572806565349348, 'subgroup_order': 15360, 'subgroup_tex': '(C_2^5\\times C_4).S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cw', 'subgroup_hash': 1289821987183333867, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^5.(C_4\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.ct', 'subgroup_hash': 8788349221291670805, 'subgroup_order': 15360, 'subgroup_tex': 'C_4:C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.ci', 'subgroup_hash': 28378592965558898, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.ci', 'subgroup_hash': 28378592965558898, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cd', 'subgroup_hash': 8583098158396727554, 'subgroup_order': 15360, 'subgroup_tex': 'D_4:C_2\\wr A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cn', 'subgroup_hash': 7323117051306785985, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.ce', 'subgroup_hash': 5728789823515816545, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^5.(D_4\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cw', 'subgroup_hash': 1289821987183333867, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^5.(C_4\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cs', 'subgroup_hash': 880170145602580511, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^5.(C_4\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.ct', 'subgroup_hash': 8788349221291670805, 'subgroup_order': 15360, 'subgroup_tex': 'C_4:C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cu', 'subgroup_hash': 3813169983333567852, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.bv', 'subgroup_hash': 2517809236178680960, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.(D_5\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.bw', 'subgroup_hash': 3888342323255152885, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.(D_5\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cc', 'subgroup_hash': 4260712408912204654, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^6:(C_4\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cn', 'subgroup_hash': 7323117051306785985, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.ce', 'subgroup_hash': 5728789823515816545, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^5.(D_4\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cn', 'subgroup_hash': 7323117051306785985, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.bb', 'subgroup_hash': 8448489991948604594, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cc', 'subgroup_hash': 4260712408912204654, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^6:(C_4\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5434535624603472666, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.ba', 'subgroup_hash': 9200598901900488110, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cn', 'subgroup_hash': 7323117051306785985, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.ce', 'subgroup_hash': 5728789823515816545, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^5.(D_4\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cn', 'subgroup_hash': 7323117051306785985, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.cu', 'subgroup_hash': 3813169983333567852, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.bn', 'subgroup_hash': 4277500576275028778, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^7.(C_{10}\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3531157328658740079, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^6.C_{15}.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4525343025605872920, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^8.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2679056774559618312, 'subgroup_order': 15360, 'subgroup_tex': 'C_2^8.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.e', 'subgroup_hash': 125128510490231947, 'subgroup_order': 15360, 'subgroup_tex': 'D_4\\times C_2^4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3024.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3024.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15360.e', 'subgroup_hash': 125128510490231947, 'subgroup_order': 15360, 'subgroup_tex': 'D_4\\times C_2^4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3240.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3240.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14336.l', 'subgroup_hash': 7301413267142190903, 'subgroup_order': 14336, 'subgroup_tex': 'C_2^8.F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66829080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.cm', 'subgroup_hash': 894163191325429908, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^3:C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.cl', 'subgroup_hash': 5824492119727887147, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^3:(C_2\\times C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.bw', 'subgroup_hash': 2172094909309691632, 'subgroup_order': 13824, 'subgroup_tex': 'C_2\\times A_4^3:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.bw', 'subgroup_hash': 2172094909309691632, 'subgroup_order': 13824, 'subgroup_tex': 'C_2\\times A_4^3:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.fq', 'subgroup_hash': 519320209499247253, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.fq', 'subgroup_hash': 519320209499247253, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.fq', 'subgroup_hash': 519320209499247253, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.cn', 'subgroup_hash': 3065341313176658627, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^2:\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.dl', 'subgroup_hash': 4717982951047219196, 'subgroup_order': 13824, 'subgroup_tex': '(C_2^2\\times A_4^2):D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66829090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2056737932071413318, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^2.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.bo', 'subgroup_hash': 3527205231616710277, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^2.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.s', 'subgroup_hash': 634197619334650966, 'subgroup_order': 13824, 'subgroup_tex': 'C_2^2:A_4^2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.u', 'subgroup_hash': 6467196478135172186, 'subgroup_order': 13824, 'subgroup_tex': 'C_2^2:A_4^2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.bd', 'subgroup_hash': 2768330288889134416, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.bd', 'subgroup_hash': 2768330288889134416, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.bd', 'subgroup_hash': 2768330288889134416, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3360.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3360.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.bd', 'subgroup_hash': 2768330288889134416, 'subgroup_order': 13824, 'subgroup_tex': 'A_4^3:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.cc', 'subgroup_hash': 4591384610159568050, 'subgroup_order': 12288, 'subgroup_tex': 'Q_8^2.C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.cd', 'subgroup_hash': 7233899905654193783, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^4.C_2^5:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1800924977262710494, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^4.(C_2^3\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.bu', 'subgroup_hash': 1446165263901023692, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^2.C_2^8:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66829103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.ce', 'subgroup_hash': 4097190721102872322, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^7.C_2^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.fB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.bv', 'subgroup_hash': 4757844985603585546, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^4.C_2^6:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.fC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.cf', 'subgroup_hash': 7650015468367562751, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^7:Q_8:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.cb', 'subgroup_hash': 2809804944775044984, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^4.C_2^5:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5823481907818782647, 'subgroup_order': 12288, 'subgroup_tex': 'Q_8:C_2^2.(C_6\\times D_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5632402129755212574, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^4.C_2^6.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5681686641211557254, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^4.(C_2^3\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 351698228275748668, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^4.(C_2^3\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1146521048448598163, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^6.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7379565038322010507, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^3:A_4.(C_2\\times D_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5538997604311720170, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^4.(C_2^3\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 618971836262536504, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^3:A_4.C_2^2.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8291566892220154406, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^4.(C_2^3\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2955899744030810929, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^6.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8309683767993219271, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^3:A_4.C_2^3.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3014611801133058548, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^4.(C_2^3\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4042972289078904818, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^3:A_4.C_2^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 66829122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1576961020583725893, 'subgroup_order': 12288, 'subgroup_tex': 'Q_8:C_2^2.(C_6\\times D_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7275862480975735104, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^6.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7831964392633346360, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^3:A_4.C_2^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4424151393733740972, 'subgroup_order': 12288, 'subgroup_tex': 'C_2.C_2^6.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 66829126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4039004106576440554, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^4.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12288.bx', 'subgroup_hash': 155160094694216126, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^6.(D_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1769888637594446976, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^5.A_4.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 435316513046477813, 'subgroup_order': 12288, 'subgroup_tex': '(C_2\\times A_4).C_2^4.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 66829132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.3780.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3780.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1700341185371328223, 'subgroup_order': 12288, 'subgroup_tex': 'C_2^3:A_4.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.bo', 'subgroup_hash': 2370935594652064057, 'subgroup_order': 11520, 'subgroup_tex': '(C_2^4\\times C_6):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.bo', 'subgroup_hash': 2370935594652064057, 'subgroup_order': 11520, 'subgroup_tex': '(C_2^4\\times C_6):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.by', 'subgroup_hash': 3742289275886160339, 'subgroup_order': 11520, 'subgroup_tex': 'A_5\\times C_2\\wr A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.bo', 'subgroup_hash': 2370935594652064057, 'subgroup_order': 11520, 'subgroup_tex': '(C_2^4\\times C_6):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.bo', 'subgroup_hash': 2370935594652064057, 'subgroup_order': 11520, 'subgroup_tex': '(C_2^4\\times C_6):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.br', 'subgroup_hash': 3279011229795192728, 'subgroup_order': 11520, 'subgroup_tex': 'C_2^6:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.fs', 'subgroup_hash': 7244057283948381006, 'subgroup_order': 11520, 'subgroup_tex': 'C_2^6:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.cd', 'subgroup_hash': 1438698561638772231, 'subgroup_order': 11520, 'subgroup_tex': '(Q_8\\times A_5):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.ce', 'subgroup_hash': 9154186124429741496, 'subgroup_order': 11520, 'subgroup_tex': '(C_2^3\\times A_5):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.bl', 'subgroup_hash': 401751161326916337, 'subgroup_order': 11520, 'subgroup_tex': 'C_2^6:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.bl', 'subgroup_hash': 401751161326916337, 'subgroup_order': 11520, 'subgroup_tex': 'C_2^6:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.bo', 'subgroup_hash': 2370935594652064057, 'subgroup_order': 11520, 'subgroup_tex': '(C_2^4\\times C_6):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.bw', 'subgroup_hash': 7849958432972903288, 'subgroup_order': 11520, 'subgroup_tex': '(C_2^4\\times C_6):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.bx', 'subgroup_hash': 1422215618480279047, 'subgroup_order': 11520, 'subgroup_tex': '(C_2^4\\times C_6).S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.bo', 'subgroup_hash': 2370935594652064057, 'subgroup_order': 11520, 'subgroup_tex': '(C_2^4\\times C_6):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4032.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.p1', 'outer_equivalence': True, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11520.bf', 'subgroup_hash': 5815605803100430160, 'subgroup_order': 11520, 'subgroup_tex': 'C_2^5:A_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4320.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4320.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10752.n', 'subgroup_hash': 505667083962326603, 'subgroup_order': 10752, 'subgroup_tex': 'C_2^8.F_7', 'supersolvable': False, 'sylow': 0}
  • id: 66829151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4320.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4320.b1', 'outer_equivalence': True, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10752.k', 'subgroup_hash': 1800381974125081345, 'subgroup_order': 10752, 'subgroup_tex': 'C_2^6:\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4480.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4480.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10368.bf', 'subgroup_hash': 3747823491789984767, 'subgroup_order': 10368, 'subgroup_tex': 'A_4^3:S_3', 'supersolvable': False, 'sylow': 0}
  • id: 66829154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4536.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4536.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10240.ey', 'subgroup_hash': 2543337431628736205, 'subgroup_order': 10240, 'subgroup_tex': 'C_2^7:C_{20}:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4536.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4536.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10240.fa', 'subgroup_hash': 8155648639000887770, 'subgroup_order': 10240, 'subgroup_tex': 'C_2^7.(C_4\\times F_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4536.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4536.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10240.fb', 'subgroup_hash': 9191288062364811656, 'subgroup_order': 10240, 'subgroup_tex': 'C_2^7.D_{10}:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4536.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4536.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10240.ch', 'subgroup_hash': 3108137458162571654, 'subgroup_order': 10240, 'subgroup_tex': 'C_2^7.(C_2^2\\times F_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4536.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4536.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5830674012707070061, 'subgroup_order': 10240, 'subgroup_tex': 'C_2^4:C_5.C_2^5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4536.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4536.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10240.cc', 'subgroup_hash': 4751705580849480256, 'subgroup_order': 10240, 'subgroup_tex': 'C_2^8.(C_2\\times F_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4536.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4536.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10240.ca', 'subgroup_hash': 5162845121971836354, 'subgroup_order': 10240, 'subgroup_tex': 'C_2^6.(D_4\\times D_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 66829161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4608.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4608.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4608, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.n', 'subgroup_hash': 3434028034273258019, 'subgroup_order': 10080, 'subgroup_tex': 'C_2^2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 66829162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4608.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4608.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4608, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.m', 'subgroup_hash': 6551921141103180725, 'subgroup_order': 10080, 'subgroup_tex': 'A_7:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.4608.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4608.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4608, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10080.l', 'subgroup_hash': 3593093372306498606, 'subgroup_order': 10080, 'subgroup_tex': 'C_2\\times S_7', 'supersolvable': False, 'sylow': 0}
  • id: 66829165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7830968878042427989, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^4.C_2^6.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kp', 'subgroup_hash': 1546043157365402325, 'subgroup_order': 9216, 'subgroup_tex': '(A_4\\times C_2^5).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5152920756996538218, 'subgroup_order': 9216, 'subgroup_tex': 'A_4^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3261846788790107673, 'subgroup_order': 9216, 'subgroup_tex': 'A_4^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5152920756996538218, 'subgroup_order': 9216, 'subgroup_tex': 'A_4^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3261846788790107673, 'subgroup_order': 9216, 'subgroup_tex': 'A_4^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kp', 'subgroup_hash': 1546043157365402325, 'subgroup_order': 9216, 'subgroup_tex': '(A_4\\times C_2^5).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.iq', 'subgroup_hash': 3435155640273129441, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^4.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.hb', 'subgroup_hash': 8712781872954588648, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^4.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4149088456885206754, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^5.D_6:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5891005529645763336, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^5.A_4.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1246866607894977963, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^5.C_3:(C_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5082193277680745344, 'subgroup_order': 9216, 'subgroup_tex': 'Q_8.A_4^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2434335943927745095, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^5.D_6:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5810800638643590979, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^3.A_4^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2063562323468070946, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^5.D_6:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4679548852946350212, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^5.D_6:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kb', 'subgroup_hash': 7826895958865290924, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^4.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5546655922351430346, 'subgroup_order': 9216, 'subgroup_tex': 'C_2.C_2^6.C_3.D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66829186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7511505211087953360, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^5.A_4.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kq', 'subgroup_hash': 2581684043056353271, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^4.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2850476683874425240, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^5.A_4.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4214051132727617966, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^5.A_4.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kr', 'subgroup_hash': 829387257674450181, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^4.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.ks', 'subgroup_hash': 2680327893552371364, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^4.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.id', 'subgroup_hash': 7297389567037345949, 'subgroup_order': 9216, 'subgroup_tex': '(A_4\\times C_2^5):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.ie', 'subgroup_hash': 6483707525414329078, 'subgroup_order': 9216, 'subgroup_tex': '(A_4\\times C_2^5).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5197815914004811832, 'subgroup_order': 9216, 'subgroup_tex': '(C_2^4\\times A_4).A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.hj', 'subgroup_hash': 2481230083356510476, 'subgroup_order': 9216, 'subgroup_tex': 'A_4\\times C_2^5:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7810818081312184663, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^3:A_4.(D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.hw', 'subgroup_hash': 3240492228762933439, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^5.(A_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kp', 'subgroup_hash': 1546043157365402325, 'subgroup_order': 9216, 'subgroup_tex': '(A_4\\times C_2^5).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9010556959862275747, 'subgroup_order': 9216, 'subgroup_tex': '(C_2^4\\times A_4).A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.hj', 'subgroup_hash': 2481230083356510476, 'subgroup_order': 9216, 'subgroup_tex': 'A_4\\times C_2^5:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4543801287547460078, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^3:A_4.(D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kg', 'subgroup_hash': 4161141353422009956, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^7:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7630534903735755005, 'subgroup_order': 9216, 'subgroup_tex': 'A_4^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.hu', 'subgroup_hash': 3181280851912289007, 'subgroup_order': 9216, 'subgroup_tex': '(C_2^3\\times A_4).C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kg', 'subgroup_hash': 4161141353422009956, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^7:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7630534903735755005, 'subgroup_order': 9216, 'subgroup_tex': 'A_4^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kp', 'subgroup_hash': 1546043157365402325, 'subgroup_order': 9216, 'subgroup_tex': '(A_4\\times C_2^5).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.dr', 'subgroup_hash': 5098832045972898184, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^4.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.dr', 'subgroup_hash': 5098832045972898184, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^4.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4969973113771774799, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^2.C_2^6.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kp', 'subgroup_hash': 1546043157365402325, 'subgroup_order': 9216, 'subgroup_tex': '(A_4\\times C_2^5).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3794035400119451112, 'subgroup_order': 9216, 'subgroup_tex': '(C_2^3\\times A_4).(D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7126622958251364095, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^3:A_4.(D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kp', 'subgroup_hash': 1546043157365402325, 'subgroup_order': 9216, 'subgroup_tex': '(A_4\\times C_2^5).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6599422067084019415, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^3.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8307040206549265789, 'subgroup_order': 9216, 'subgroup_tex': '(C_2^4\\times A_4).A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1599045207210466251, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^3:A_4.(D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kp', 'subgroup_hash': 1546043157365402325, 'subgroup_order': 9216, 'subgroup_tex': '(A_4\\times C_2^5).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2613552893055329296, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^3.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.ir', 'subgroup_hash': 7826940648741973098, 'subgroup_order': 9216, 'subgroup_tex': 'C_2\\wr S_4.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 66829224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kt', 'subgroup_hash': 4400983185688898281, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^5.(D_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6370442580214747132, 'subgroup_order': 9216, 'subgroup_tex': '(C_2^3\\times A_4).A_4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4058484475557592860, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^3.A_4^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kp', 'subgroup_hash': 1546043157365402325, 'subgroup_order': 9216, 'subgroup_tex': '(A_4\\times C_2^5).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kc', 'subgroup_hash': 3484361185051339003, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^5:A_4\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2394193112935602611, 'subgroup_order': 9216, 'subgroup_tex': 'A_4^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6880258509599005539, 'subgroup_order': 9216, 'subgroup_tex': 'A_4^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.ko', 'subgroup_hash': 817268252550911200, 'subgroup_order': 9216, 'subgroup_tex': 'A_4\\times C_2^5:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.eq', 'subgroup_hash': 3451632122187324806, 'subgroup_order': 9216, 'subgroup_tex': 'C_2\\times S_4^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.ep', 'subgroup_hash': 8498118792173249125, 'subgroup_order': 9216, 'subgroup_tex': '(C_2\\times S_4^2).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.kp', 'subgroup_hash': 1546043157365402325, 'subgroup_order': 9216, 'subgroup_tex': '(A_4\\times C_2^5).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.gm', 'subgroup_hash': 7453771470260773558, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^4.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.gd', 'subgroup_hash': 3387168774183922810, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^6.A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7390310437254784119, 'subgroup_order': 9216, 'subgroup_tex': 'C_2.C_2^6.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.em', 'subgroup_hash': 8111829663533188174, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^6.D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9139928343996922068, 'subgroup_order': 9216, 'subgroup_tex': 'A_4^2.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5889962002033394146, 'subgroup_order': 9216, 'subgroup_tex': 'A_4^2.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.z', 'subgroup_hash': 3148298666966447927, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^4.A_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.dr', 'subgroup_hash': 5098832045972898184, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^4.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5040.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5040.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9216.dr', 'subgroup_hash': 5098832045972898184, 'subgroup_order': 9216, 'subgroup_tex': 'C_2^4.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5376.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5376.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5376, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.s', 'subgroup_hash': 2232959167010698757, 'subgroup_order': 8640, 'subgroup_tex': 'C_2\\times A_4\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5376.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5376.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5376, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.o', 'subgroup_hash': 4264718342516776942, 'subgroup_order': 8640, 'subgroup_tex': 'A_4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5376.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5376.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5376, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8640.o', 'subgroup_hash': 4264718342516776942, 'subgroup_order': 8640, 'subgroup_tex': 'A_4:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5670.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5670.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5670, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.wq', 'subgroup_hash': 8792888774451043240, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^6.C_2\\wr D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5670.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5670.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5670, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.vt', 'subgroup_hash': 7108311546681494802, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5670.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5670.cB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5670, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.wn', 'subgroup_hash': 1122889960510187689, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^6.C_2\\wr D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5670.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5670.cC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5670, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.vw', 'subgroup_hash': 4271978371041003773, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5670.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5670.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5670, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.wi', 'subgroup_hash': 1514081722425733609, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5670.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5670.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5670, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.vp', 'subgroup_hash': 9214474225007834313, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^7.C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5670.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5670.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5670, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.vn', 'subgroup_hash': 5700161649216200189, 'subgroup_order': 8192, 'subgroup_tex': 'C_2\\wr C_2^3.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5670.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5670.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5670, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.we', 'subgroup_hash': 1514684268903497378, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^2\\wr C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5670.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5670.hB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5670, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.vl', 'subgroup_hash': 6633062251642525386, 'subgroup_order': 8192, 'subgroup_tex': 'C_2\\wr D_4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5670.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5670.hC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5670, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8192.wd', 'subgroup_hash': 5225291297301428454, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^2\\wr C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.5670.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5670.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5670, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4616936387675209215, 'subgroup_order': 8192, 'subgroup_tex': 'C_2^6.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.cf', 'subgroup_hash': 8571416341364406891, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.df', 'subgroup_hash': 4875474377978326119, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.df', 'subgroup_hash': 4875474377978326119, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.ce', 'subgroup_hash': 1691642986770797575, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.cd', 'subgroup_hash': 3574622754419282681, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.ce', 'subgroup_hash': 1691642986770797575, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.u', 'subgroup_hash': 115355524876004261, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.u', 'subgroup_hash': 115355524876004261, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.ci', 'subgroup_hash': 5420193849106041756, 'subgroup_order': 7680, 'subgroup_tex': 'A_4:C_2\\wr F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.ci', 'subgroup_hash': 5420193849106041756, 'subgroup_order': 7680, 'subgroup_tex': 'A_4:C_2\\wr F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.da', 'subgroup_hash': 8051019176794781192, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^7:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.cc', 'subgroup_hash': 5083523318444215887, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^7:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.w', 'subgroup_hash': 3880232408571684104, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.w', 'subgroup_hash': 3880232408571684104, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.bb', 'subgroup_hash': 2255914927381544304, 'subgroup_order': 7680, 'subgroup_tex': 'D_4\\times C_2^4:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.u', 'subgroup_hash': 115355524876004261, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.w', 'subgroup_hash': 3880232408571684104, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.ci', 'subgroup_hash': 5420193849106041756, 'subgroup_order': 7680, 'subgroup_tex': 'A_4:C_2\\wr F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.ci', 'subgroup_hash': 5420193849106041756, 'subgroup_order': 7680, 'subgroup_tex': 'A_4:C_2\\wr F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.da', 'subgroup_hash': 8051019176794781192, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^7:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1078903499662865150, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^7.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.dm', 'subgroup_hash': 5220055783298181821, 'subgroup_order': 7680, 'subgroup_tex': '(C_2^3\\times S_5):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.cw', 'subgroup_hash': 6011647986995535969, 'subgroup_order': 7680, 'subgroup_tex': '(C_2^4\\times \\SL(2,3)):F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.ci', 'subgroup_hash': 5420193849106041756, 'subgroup_order': 7680, 'subgroup_tex': 'A_4:C_2\\wr F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.de', 'subgroup_hash': 1657588984152247471, 'subgroup_order': 7680, 'subgroup_tex': '(C_2^4\\times C_4).S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.cz', 'subgroup_hash': 8842327942319601444, 'subgroup_order': 7680, 'subgroup_tex': 'Q_8\\times C_2^4:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.bd', 'subgroup_hash': 446152616304657994, 'subgroup_order': 7680, 'subgroup_tex': '(C_2^4\\times C_4):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.df', 'subgroup_hash': 4875474377978326119, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.cy', 'subgroup_hash': 7524282061367737759, 'subgroup_order': 7680, 'subgroup_tex': 'C_2\\wr A_5\\times C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.bb', 'subgroup_hash': 2255914927381544304, 'subgroup_order': 7680, 'subgroup_tex': 'D_4\\times C_2^4:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.da', 'subgroup_hash': 8051019176794781192, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^7:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.u', 'subgroup_hash': 115355524876004261, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.df', 'subgroup_hash': 4875474377978326119, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.cy', 'subgroup_hash': 7524282061367737759, 'subgroup_order': 7680, 'subgroup_tex': 'C_2\\wr A_5\\times C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.cy', 'subgroup_hash': 7524282061367737759, 'subgroup_order': 7680, 'subgroup_tex': 'C_2\\wr A_5\\times C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.df', 'subgroup_hash': 4875474377978326119, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.u', 'subgroup_hash': 115355524876004261, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.bb', 'subgroup_hash': 2255914927381544304, 'subgroup_order': 7680, 'subgroup_tex': 'D_4\\times C_2^4:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.da', 'subgroup_hash': 8051019176794781192, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^7:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.u', 'subgroup_hash': 115355524876004261, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.ct', 'subgroup_hash': 583050546963778989, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^7.(C_5\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.ci', 'subgroup_hash': 5420193849106041756, 'subgroup_order': 7680, 'subgroup_tex': 'A_4:C_2\\wr F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.ci', 'subgroup_hash': 5420193849106041756, 'subgroup_order': 7680, 'subgroup_tex': 'A_4:C_2\\wr F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.da', 'subgroup_hash': 8051019176794781192, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^7:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.t', 'subgroup_hash': 7737212856949243205, 'subgroup_order': 7680, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.u', 'subgroup_hash': 115355524876004261, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.da', 'subgroup_hash': 8051019176794781192, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^7:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.cc', 'subgroup_hash': 5083523318444215887, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^7:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7026324821379722921, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^4:C_5.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.w', 'subgroup_hash': 3880232408571684104, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.w', 'subgroup_hash': 3880232408571684104, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.bd', 'subgroup_hash': 446152616304657994, 'subgroup_order': 7680, 'subgroup_tex': '(C_2^4\\times C_4):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.w', 'subgroup_hash': 3880232408571684104, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.w', 'subgroup_hash': 3880232408571684104, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.y', 'subgroup_hash': 8877059625442872600, 'subgroup_order': 7680, 'subgroup_tex': 'C_4\\times C_2^4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.y', 'subgroup_hash': 8877059625442872600, 'subgroup_order': 7680, 'subgroup_tex': 'C_4\\times C_2^4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.u', 'subgroup_hash': 115355524876004261, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.bd', 'subgroup_hash': 446152616304657994, 'subgroup_order': 7680, 'subgroup_tex': '(C_2^4\\times C_4):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.u', 'subgroup_hash': 115355524876004261, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.w', 'subgroup_hash': 3880232408571684104, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.w', 'subgroup_hash': 3880232408571684104, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.w', 'subgroup_hash': 3880232408571684104, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.w', 'subgroup_hash': 3880232408571684104, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.w', 'subgroup_hash': 3880232408571684104, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.w', 'subgroup_hash': 3880232408571684104, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.t', 'subgroup_hash': 7737212856949243205, 'subgroup_order': 7680, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.bb', 'subgroup_hash': 2255914927381544304, 'subgroup_order': 7680, 'subgroup_tex': 'D_4\\times C_2^4:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.u', 'subgroup_hash': 115355524876004261, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6048.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6048.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7680.w', 'subgroup_hash': 3880232408571684104, 'subgroup_order': 7680, 'subgroup_tex': 'C_2^6:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6480.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6480.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7168.s', 'subgroup_hash': 2653580329567171725, 'subgroup_order': 7168, 'subgroup_tex': 'C_2^7:F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66829339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.jv', 'subgroup_hash': 1846922640680782192, 'subgroup_order': 6912, 'subgroup_tex': 'A_4^3:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.jv', 'subgroup_hash': 1846922640680782192, 'subgroup_order': 6912, 'subgroup_tex': 'A_4^3:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.jv', 'subgroup_hash': 1846922640680782192, 'subgroup_order': 6912, 'subgroup_tex': 'A_4^3:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.jv', 'subgroup_hash': 1846922640680782192, 'subgroup_order': 6912, 'subgroup_tex': 'A_4^3:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.ch', 'subgroup_hash': 5629731248063355870, 'subgroup_order': 6912, 'subgroup_tex': 'A_4^3:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.ci', 'subgroup_hash': 1420902088592084771, 'subgroup_order': 6912, 'subgroup_tex': 'A_4^3:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.cz', 'subgroup_hash': 4070313432913129288, 'subgroup_order': 6912, 'subgroup_tex': '(C_2^2\\times A_4^2):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.co', 'subgroup_hash': 1298466305851890782, 'subgroup_order': 6912, 'subgroup_tex': '(C_2^2\\times A_4^2):C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66829348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.gp', 'subgroup_hash': 7770796995158282721, 'subgroup_order': 6912, 'subgroup_tex': 'C_2\\times C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829349
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3784596316326333896, 'subgroup_order': 6912, 'subgroup_tex': 'C_2^6.C_3^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5192336459963078177, 'subgroup_order': 6912, 'subgroup_tex': 'C_2^6.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66829353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.bm', 'subgroup_hash': 4604747260633303901, 'subgroup_order': 6912, 'subgroup_tex': 'C_2^8.\\He_3', 'supersolvable': False, 'sylow': 0}
  • id: 66829354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.jj', 'subgroup_hash': 1721632380221528255, 'subgroup_order': 6912, 'subgroup_tex': 'A_4:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.jj', 'subgroup_hash': 1721632380221528255, 'subgroup_order': 6912, 'subgroup_tex': 'A_4:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.bv', 'subgroup_hash': 1636999586910985895, 'subgroup_order': 6912, 'subgroup_tex': 'A_4^3:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.bx', 'subgroup_hash': 4800235133998595762, 'subgroup_order': 6912, 'subgroup_tex': 'A_4^3:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.jj', 'subgroup_hash': 1721632380221528255, 'subgroup_order': 6912, 'subgroup_tex': 'A_4:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.bv', 'subgroup_hash': 1636999586910985895, 'subgroup_order': 6912, 'subgroup_tex': 'A_4^3:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.bx', 'subgroup_hash': 4800235133998595762, 'subgroup_order': 6912, 'subgroup_tex': 'A_4^3:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.jj', 'subgroup_hash': 1721632380221528255, 'subgroup_order': 6912, 'subgroup_tex': 'A_4:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.jj', 'subgroup_hash': 1721632380221528255, 'subgroup_order': 6912, 'subgroup_tex': 'A_4:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.jj', 'subgroup_hash': 1721632380221528255, 'subgroup_order': 6912, 'subgroup_tex': 'A_4:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.ex', 'subgroup_hash': 7677651402582658269, 'subgroup_order': 6912, 'subgroup_tex': 'C_2\\times A_4^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66829366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.ey', 'subgroup_hash': 5146547824910726462, 'subgroup_order': 6912, 'subgroup_tex': '(C_2\\times A_4^2).D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66829367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.ex', 'subgroup_hash': 7677651402582658269, 'subgroup_order': 6912, 'subgroup_tex': 'C_2\\times A_4^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66829368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.6720.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6720.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.ey', 'subgroup_hash': 5146547824910726462, 'subgroup_order': 6912, 'subgroup_tex': '(C_2\\times A_4^2).D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66829369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.cu', 'subgroup_hash': 3942854215731823997, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^3.(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.dk', 'subgroup_hash': 6391376442197138182, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^7:\\GL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66829371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.cq', 'subgroup_hash': 5804707569511297626, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^7.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.dm', 'subgroup_hash': 3294003071322537832, 'subgroup_order': 6144, 'subgroup_tex': '(C_2\\times C_4^3):\\GL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66829373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6111932116796406667, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7743635103373756919, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3483854714494494876, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3403934024389467759, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 673599638136539329, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9154237026261194568, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2796863899561264400, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2107145842570680006, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9015362567177599629, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2679768770376002701, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2946656016598043228, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7298408562561971782, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3483854714494494876, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3912587048378167292, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6417212389675173425, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^2.C_2^6.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.cz', 'subgroup_hash': 4947411371494218822, 'subgroup_order': 6144, 'subgroup_tex': 'Q_8^2.C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.dl', 'subgroup_hash': 6419428854773712151, 'subgroup_order': 6144, 'subgroup_tex': 'C_4^2:C_2^4.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.vB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2707686374897679033, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.vC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7380317131598893073, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2263359408808641574, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^4.C_2^6.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 66829395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4364579101963608585, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1123047949914483353, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3403934024389467759, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3697238776047524324, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 354730236613921167, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^4.C_2^6.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 66829401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3775300605182437029, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.(D_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3366071010722042793, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6583383826563307392, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3651792159388832141, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1372845814366090915, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.cs', 'subgroup_hash': 2147483185641250259, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^6.(C_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4414429431307879030, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 995248275355551892, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^4.C_2^6.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.cq', 'subgroup_hash': 5804707569511297626, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^7.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5681476835698322967, 'subgroup_order': 6144, 'subgroup_tex': 'C_2.C_4^2:A_4.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3479341089977535889, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.(D_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5272425038453569131, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3932720160564994349, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.(D_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5136811523528688205, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.df', 'subgroup_hash': 8156651583557204881, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^6.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.dd', 'subgroup_hash': 3855341783628099539, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^7.(C_2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7694038683274375150, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.(D_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2216303291984948033, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4241176168067135886, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5234949081850149974, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6391468348191951546, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7551436853073880534, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.(D_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1237004297394217765, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6120732015541600899, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^3\\times A_4).D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4669107602051066907, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8657444261029417717, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 920251342110265233, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.(D_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5388305054892613048, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3118985322480104173, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^3\\times A_4).D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 188598704738120899, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.(D_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8076057774488362361, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9155667015173611744, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1141464261283769194, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_4\\wr C_2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3499237002000260608, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 66829438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5969830255514478190, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7032526377422310788, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7775111904775644841, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5969830255514478190, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9113883324799095504, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.(C_2^3.C_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 649678502474277263, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.A_4.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2958855862964289584, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9107112678047682458, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3689759263559350421, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 611027178388146875, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^3\\times A_4).C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1277362833837023599, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2260010633213740273, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1476347257853689925, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^3\\times A_4).D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5605775052252921713, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^4.(C_2^4\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6945399793028559424, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3821465235734664441, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^4.C_2^6.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 306137234012060419, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^3\\times A_4).C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6198478668009971868, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6527346776491003681, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6975639088024905522, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6037157625087954689, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8472235958205586232, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 398435324627461618, 'subgroup_order': 6144, 'subgroup_tex': 'A_4.C_2^5.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 66829465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7032526377422310788, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6366999693473687057, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6114779797222481312, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.A_4.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5187977361287388569, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7251217174987823315, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5280679398900904106, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1412311875604197927, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.biw', 'subgroup_hash': 37462749170998397, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^6.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8442182667767730824, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6668513048165457415, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1774968870417281460, 'subgroup_order': 6144, 'subgroup_tex': '(C_2\\times A_4).C_2^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 66829477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2149543062926685188, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2938498873427539420, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.A_4.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6873092426354143137, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.bix', 'subgroup_hash': 135292790766159705, 'subgroup_order': 6144, 'subgroup_tex': 'D_4^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5468099455809999176, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.bjd', 'subgroup_hash': 1498329699124160014, 'subgroup_order': 6144, 'subgroup_tex': 'D_4^2.(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.bje', 'subgroup_hash': 4070218607806203510, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.(D_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7311411416537193574, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1614941909327854228, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3.C_2^4.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.go', 'subgroup_hash': 1053785490866961523, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^8.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3183536720879272274, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4273984472225873967, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 66829490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6725017473149083028, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^6.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 66829491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6107987074442722321, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.cv', 'subgroup_hash': 8396057180038852359, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^8.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.eh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2639395719462175920, 'subgroup_order': 6144, 'subgroup_tex': 'A_4.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ei1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4533668945025115684, 'subgroup_order': 6144, 'subgroup_tex': '(C_2^4\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ej1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5448316694362373088, 'subgroup_order': 6144, 'subgroup_tex': '(C_2\\times D_4\\times A_4).C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 66829497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ek1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6958352499383226731, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^3:A_4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.elB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8044733917641898434, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^5.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 66829499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.elC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6878884635418925294, 'subgroup_order': 6144, 'subgroup_tex': 'C_2.C_4^2:A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 66829500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.em1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8251622111921155842, 'subgroup_order': 6144, 'subgroup_tex': 'A_4.C_2^6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.en1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.cy', 'subgroup_hash': 7817898591968862192, 'subgroup_order': 6144, 'subgroup_tex': 'C_2\\wr \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66829502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.eo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.co', 'subgroup_hash': 219397413953994763, 'subgroup_order': 6144, 'subgroup_tex': 'C_2\\wr C_2^3:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66829503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.7560.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7560.ep1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.de', 'subgroup_hash': 4635938697988762613, 'subgroup_order': 6144, 'subgroup_tex': 'C_2^6.\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8064.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.ck', 'subgroup_hash': 8340293194231385707, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^5:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8064.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.eg', 'subgroup_hash': 2152045664676150822, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^3:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8064.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.ej', 'subgroup_hash': 1274306375725671728, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^2\\times A_4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8064.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.ck', 'subgroup_hash': 8340293194231385707, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^5:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8064.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.cr', 'subgroup_hash': 3574282817328901339, 'subgroup_order': 5760, 'subgroup_tex': 'A_5\\times Q_8:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8064.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.fB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.cm', 'subgroup_hash': 1038578515691662154, 'subgroup_order': 5760, 'subgroup_tex': '(C_2^3\\times C_6):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8064.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.fC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.cm', 'subgroup_hash': 1038578515691662154, 'subgroup_order': 5760, 'subgroup_tex': '(C_2^3\\times C_6):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8064.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.cm', 'subgroup_hash': 1038578515691662154, 'subgroup_order': 5760, 'subgroup_tex': '(C_2^3\\times C_6):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8064.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.cm', 'subgroup_hash': 1038578515691662154, 'subgroup_order': 5760, 'subgroup_tex': '(C_2^3\\times C_6):S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8064.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.cp', 'subgroup_hash': 3676493485777925419, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^5:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8064.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5760.ck', 'subgroup_hash': 8340293194231385707, 'subgroup_order': 5760, 'subgroup_tex': 'C_2^5:\\GL(2,4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8640.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8640.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5376.bx', 'subgroup_hash': 2822916461223089928, 'subgroup_order': 5376, 'subgroup_tex': 'C_2^5:\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8640.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8640.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5376.bw', 'subgroup_hash': 1556642348719288798, 'subgroup_order': 5376, 'subgroup_tex': 'C_2^5.\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8640.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8640.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5376.bi', 'subgroup_hash': 651681584992391079, 'subgroup_order': 5376, 'subgroup_tex': 'C_2\\wr F_7', 'supersolvable': False, 'sylow': 0}
  • id: 66829520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8640.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8640.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5376.bj', 'subgroup_hash': 7476376236243798853, 'subgroup_order': 5376, 'subgroup_tex': 'C_2^7.F_7', 'supersolvable': False, 'sylow': 0}
  • id: 66829521
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8640.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8640.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5376.by', 'subgroup_hash': 4527304666117197337, 'subgroup_order': 5376, 'subgroup_tex': 'C_2\\wr C_7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.8960.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8960.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5184.by', 'subgroup_hash': 9206493545085606647, 'subgroup_order': 5184, 'subgroup_tex': 'A_4\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66829523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.fu', 'subgroup_hash': 1749927035038993468, 'subgroup_order': 5120, 'subgroup_tex': 'D_4:C_2\\wr F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.fv', 'subgroup_hash': 6074263228022417691, 'subgroup_order': 5120, 'subgroup_tex': 'D_4:C_2\\wr F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.fw', 'subgroup_hash': 4665093916667680326, 'subgroup_order': 5120, 'subgroup_tex': 'C_2\\wr F_5:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.bp', 'subgroup_hash': 1670266594984163961, 'subgroup_order': 5120, 'subgroup_tex': '(D_4\\times C_2^5):F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.bn', 'subgroup_hash': 3957387804749004350, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^4:C_5.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.bj', 'subgroup_hash': 6405718703673710807, 'subgroup_order': 5120, 'subgroup_tex': '(D_4\\times C_2^5).D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 66829530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1411256447206013163, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^4.C_2^2:C_4:F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5869991716157354885, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^4:C_5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.fw', 'subgroup_hash': 4665093916667680326, 'subgroup_order': 5120, 'subgroup_tex': 'C_2\\wr F_5:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.bp', 'subgroup_hash': 1670266594984163961, 'subgroup_order': 5120, 'subgroup_tex': '(D_4\\times C_2^5):F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.bo', 'subgroup_hash': 6916229945647239335, 'subgroup_order': 5120, 'subgroup_tex': '(D_4\\times C_2^5).F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.bg', 'subgroup_hash': 1793189160235403119, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^7:(C_4\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.bm', 'subgroup_hash': 860979575915131035, 'subgroup_order': 5120, 'subgroup_tex': '(D_4\\times C_2^5).D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 66829537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.bq', 'subgroup_hash': 3526351352446004126, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^7.(C_2\\times F_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.fz', 'subgroup_hash': 744339416922014674, 'subgroup_order': 5120, 'subgroup_tex': 'C_2\\wr D_5:C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.ft', 'subgroup_hash': 7296822117963928914, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^5.(D_4\\times F_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.ca', 'subgroup_hash': 8978186148625431981, 'subgroup_order': 5120, 'subgroup_tex': 'C_2\\wr F_5\\times D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.fw', 'subgroup_hash': 4665093916667680326, 'subgroup_order': 5120, 'subgroup_tex': 'C_2\\wr F_5:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.bd', 'subgroup_hash': 5683066094179815797, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^8.D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 66829544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.ba', 'subgroup_hash': 5235630772488038061, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^6.(D_4\\times C_{10})', 'supersolvable': False, 'sylow': 0}
  • id: 66829545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6587074984423341889, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^4:C_5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.ge', 'subgroup_hash': 6421777189920741526, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^8.D_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 66829547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9072.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9072.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5120.be', 'subgroup_hash': 3006813635742690909, 'subgroup_order': 5120, 'subgroup_tex': 'C_2^8.F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9216.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9216.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5040.v', 'subgroup_hash': 4764235641843610755, 'subgroup_order': 5040, 'subgroup_tex': 'C_2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 66829549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9216.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9216.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5040.v', 'subgroup_hash': 4764235641843610755, 'subgroup_order': 5040, 'subgroup_tex': 'C_2\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 66829550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.9216.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9216.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5040.w', 'subgroup_hash': 6283920599749723413, 'subgroup_order': 5040, 'subgroup_tex': 'S_7', 'supersolvable': False, 'sylow': 0}
  • id: 66829552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 612375423027015175, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6310116057965616011, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mu', 'subgroup_hash': 1569795611262131636, 'subgroup_order': 4608, 'subgroup_tex': '(A_4\\times C_2^4).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mz', 'subgroup_hash': 9135415666990110932, 'subgroup_order': 4608, 'subgroup_tex': 'C_2.C_2^6.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mu', 'subgroup_hash': 1569795611262131636, 'subgroup_order': 4608, 'subgroup_tex': '(A_4\\times C_2^4).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mz', 'subgroup_hash': 9135415666990110932, 'subgroup_order': 4608, 'subgroup_tex': 'C_2.C_2^6.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mu', 'subgroup_hash': 1569795611262131636, 'subgroup_order': 4608, 'subgroup_tex': '(A_4\\times C_2^4).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mz', 'subgroup_hash': 9135415666990110932, 'subgroup_order': 4608, 'subgroup_tex': 'C_2.C_2^6.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ns', 'subgroup_hash': 3568688790527294856, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6.\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ns', 'subgroup_hash': 3568688790527294856, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6.\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2567360876055033140, 'subgroup_order': 4608, 'subgroup_tex': 'A_4^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2567360876055033140, 'subgroup_order': 4608, 'subgroup_tex': 'A_4^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.nt', 'subgroup_hash': 5153886046005558348, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6.\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2567360876055033140, 'subgroup_order': 4608, 'subgroup_tex': 'A_4^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2567360876055033140, 'subgroup_order': 4608, 'subgroup_tex': 'A_4^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.nt', 'subgroup_hash': 5153886046005558348, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6.\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fk', 'subgroup_hash': 3393841205906426202, 'subgroup_order': 4608, 'subgroup_tex': 'S_4^2:C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fj', 'subgroup_hash': 5642249128396607778, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\times S_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fj', 'subgroup_hash': 5642249128396607778, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\times S_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fj', 'subgroup_hash': 5642249128396607778, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\times S_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fk', 'subgroup_hash': 3393841205906426202, 'subgroup_order': 4608, 'subgroup_tex': 'S_4^2:C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fj', 'subgroup_hash': 5642249128396607778, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\times S_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fj', 'subgroup_hash': 5642249128396607778, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\times S_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fj', 'subgroup_hash': 5642249128396607778, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\times S_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ms', 'subgroup_hash': 5328642036449166667, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^5:A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fn', 'subgroup_hash': 5037445876189848261, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^7:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fl', 'subgroup_hash': 7592075435992980965, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^7.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fo', 'subgroup_hash': 3810775846832067592, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:(A_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fo', 'subgroup_hash': 3810775846832067592, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:(A_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fm', 'subgroup_hash': 5656411641660729082, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^7.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ly', 'subgroup_hash': 3590853321366810562, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4.(D_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.qp', 'subgroup_hash': 167223369698594942, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4.(D_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.vk', 'subgroup_hash': 2232589325573488248, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4.(D_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.qg', 'subgroup_hash': 806092348713821598, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^5:(S_3\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.dj', 'subgroup_hash': 4396618847284036731, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.dj', 'subgroup_hash': 4396618847284036731, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.dj', 'subgroup_hash': 4396618847284036731, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.dj', 'subgroup_hash': 4396618847284036731, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.jy', 'subgroup_hash': 50470654980263659, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.jx', 'subgroup_hash': 1167813792748481256, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.hf', 'subgroup_hash': 8453131497944440440, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.hs', 'subgroup_hash': 326316674195489528, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ho', 'subgroup_hash': 5026495741871563802, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.hp', 'subgroup_hash': 7280893922721631955, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ka', 'subgroup_hash': 2766544826312237394, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.jz', 'subgroup_hash': 8082611072338661707, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.hu', 'subgroup_hash': 929621021223774219, 'subgroup_order': 4608, 'subgroup_tex': '(A_4\\times C_2^4):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.iw', 'subgroup_hash': 1993336212197324961, 'subgroup_order': 4608, 'subgroup_tex': 'A_4\\times C_2^4.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.gm', 'subgroup_hash': 6555492668761279470, 'subgroup_order': 4608, 'subgroup_tex': 'A_4\\times C_2^4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.gq', 'subgroup_hash': 3122981906130815379, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4:(A_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.is', 'subgroup_hash': 8935268429885752707, 'subgroup_order': 4608, 'subgroup_tex': 'C_4^2:(C_3\\times \\GL(2,\\mathbb{Z}/4))', 'supersolvable': False, 'sylow': 0}
  • id: 66829612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.jd', 'subgroup_hash': 1155457535833562093, 'subgroup_order': 4608, 'subgroup_tex': '(C_2^2\\times A_4).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.it', 'subgroup_hash': 3626051097449266204, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4.(A_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 791664385130530601, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.A_4^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5162504277011367507, 'subgroup_order': 4608, 'subgroup_tex': '(C_2^3\\times A_4).A_4.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1875964487555488468, 'subgroup_order': 4608, 'subgroup_tex': '(C_2^3\\times A_4).A_4.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1386994093106320312, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.A_4^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mu', 'subgroup_hash': 1569795611262131636, 'subgroup_order': 4608, 'subgroup_tex': '(A_4\\times C_2^4).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mt', 'subgroup_hash': 3460353321758558326, 'subgroup_order': 4608, 'subgroup_tex': '(C_2^4\\times S_4):A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mq', 'subgroup_hash': 4296040374304549337, 'subgroup_order': 4608, 'subgroup_tex': 'A_4\\times C_2^4.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mz', 'subgroup_hash': 9135415666990110932, 'subgroup_order': 4608, 'subgroup_tex': 'C_2.C_2^6.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mu', 'subgroup_hash': 1569795611262131636, 'subgroup_order': 4608, 'subgroup_tex': '(A_4\\times C_2^4).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mr', 'subgroup_hash': 259574681002372163, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4:A_4\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.my', 'subgroup_hash': 5623062005485025750, 'subgroup_order': 4608, 'subgroup_tex': 'A_4\\times C_2^4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mz', 'subgroup_hash': 9135415666990110932, 'subgroup_order': 4608, 'subgroup_tex': 'C_2.C_2^6.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.hg', 'subgroup_hash': 4274973821947423801, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.hs', 'subgroup_hash': 326316674195489528, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.gx', 'subgroup_hash': 5551225815426300240, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^5:A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ms', 'subgroup_hash': 5328642036449166667, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^5:A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fn', 'subgroup_hash': 5037445876189848261, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^7:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fl', 'subgroup_hash': 7592075435992980965, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^7.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.li', 'subgroup_hash': 8573247768867104807, 'subgroup_order': 4608, 'subgroup_tex': 'A_4^2:C_4\\times C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.li', 'subgroup_hash': 8573247768867104807, 'subgroup_order': 4608, 'subgroup_tex': 'A_4^2:C_4\\times C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.hr', 'subgroup_hash': 4675303775543297566, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.hf', 'subgroup_hash': 8453131497944440440, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fm', 'subgroup_hash': 5656411641660729082, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^7.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.el', 'subgroup_hash': 1317113821011610769, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.el', 'subgroup_hash': 1317113821011610769, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ul', 'subgroup_hash': 7756731686069551676, 'subgroup_order': 4608, 'subgroup_tex': '(C_2^3\\times C_6):\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.nd', 'subgroup_hash': 5607480134308526001, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4.(D_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.nf', 'subgroup_hash': 4922638735160276603, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4.(D_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.bv', 'subgroup_hash': 4794971283562439968, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr S_4\\times D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.el', 'subgroup_hash': 1317113821011610769, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.el', 'subgroup_hash': 1317113821011610769, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ek', 'subgroup_hash': 8571586339696458052, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ej', 'subgroup_hash': 5844966144888185066, 'subgroup_order': 4608, 'subgroup_tex': 'A_4\\times C_2\\wr S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.el', 'subgroup_hash': 1317113821011610769, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 210548309980128666, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^2.C_2^6.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5560227652135352937, 'subgroup_order': 4608, 'subgroup_tex': 'Q_8.(C_6\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ms', 'subgroup_hash': 5328642036449166667, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^5:A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ms', 'subgroup_hash': 5328642036449166667, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^5:A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4255219957560353922, 'subgroup_order': 4608, 'subgroup_tex': 'C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mw', 'subgroup_hash': 9101874980685576613, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.jc', 'subgroup_hash': 4538913222751102227, 'subgroup_order': 4608, 'subgroup_tex': 'C_3:C_2\\wr S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ma', 'subgroup_hash': 3983403938475125258, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6:(S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.iu', 'subgroup_hash': 8107406217781629582, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_3', 'supersolvable': False, 'sylow': 0}
  • id: 66829674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.iv', 'subgroup_hash': 4669525895312033012, 'subgroup_order': 4608, 'subgroup_tex': 'C_3\\times C_2\\wr S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.eh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.qk', 'subgroup_hash': 1346325536819227297, 'subgroup_order': 4608, 'subgroup_tex': 'C_3\\times C_2^4:\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ei1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.bs', 'subgroup_hash': 3000911920882418164, 'subgroup_order': 4608, 'subgroup_tex': 'S_4^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ej1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.bs', 'subgroup_hash': 3000911920882418164, 'subgroup_order': 4608, 'subgroup_tex': 'S_4^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ek1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.lk', 'subgroup_hash': 7658872533956138795, 'subgroup_order': 4608, 'subgroup_tex': '(C_2^5\\times C_6):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.el1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ms', 'subgroup_hash': 5328642036449166667, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^5:A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.em1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8000657065953339766, 'subgroup_order': 4608, 'subgroup_tex': 'A_4^2.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.en1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fn', 'subgroup_hash': 5037445876189848261, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^7:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.eo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fl', 'subgroup_hash': 7592075435992980965, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^7.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ep1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fo', 'subgroup_hash': 3810775846832067592, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:(A_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.eq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fo', 'subgroup_hash': 3810775846832067592, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:(A_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.er1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2440745314370596042, 'subgroup_order': 4608, 'subgroup_tex': 'A_4^2.C_2^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.es1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.mm', 'subgroup_hash': 8222869096381403812, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.et1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fm', 'subgroup_hash': 5656411641660729082, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^7.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.eu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.jp', 'subgroup_hash': 8661178357563601566, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4.(A_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ev1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2768040921594199803, 'subgroup_order': 4608, 'subgroup_tex': '(C_2\\times A_4^2).C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 66829692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ew1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4852657592192129495, 'subgroup_order': 4608, 'subgroup_tex': 'A_4^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 66829693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ex1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.gf', 'subgroup_hash': 8179258098846976261, 'subgroup_order': 4608, 'subgroup_tex': '(C_2^2\\times \\GL(2,\\mathbb{Z}/4)):A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ey1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.fe', 'subgroup_hash': 3373277324533126806, 'subgroup_order': 4608, 'subgroup_tex': '(C_2^2\\times A_4)\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ez1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.gc', 'subgroup_hash': 6261664987800180341, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.gh', 'subgroup_hash': 2025349111908410733, 'subgroup_order': 4608, 'subgroup_tex': '(C_2^2\\times A_4):\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.cg', 'subgroup_hash': 5767124530281132021, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^8.D_9', 'supersolvable': False, 'sylow': 0}
  • id: 66829699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.cf', 'subgroup_hash': 2295650226389755884, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4.\\PSOPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66829700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.en', 'subgroup_hash': 1977604718134798659, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fe1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.eq', 'subgroup_hash': 3525827752256388888, 'subgroup_order': 4608, 'subgroup_tex': 'Q_8:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ff1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.eq', 'subgroup_hash': 3525827752256388888, 'subgroup_order': 4608, 'subgroup_tex': 'Q_8:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.er', 'subgroup_hash': 9222534304684676498, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.er', 'subgroup_hash': 9222534304684676498, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ep', 'subgroup_hash': 1118038067027121682, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.en', 'subgroup_hash': 1977604718134798659, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ep', 'subgroup_hash': 1118038067027121682, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.dj', 'subgroup_hash': 4396618847284036731, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.dj', 'subgroup_hash': 4396618847284036731, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.dj', 'subgroup_hash': 4396618847284036731, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.dj', 'subgroup_hash': 4396618847284036731, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 66829713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.el', 'subgroup_hash': 1317113821011610769, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.el', 'subgroup_hash': 1317113821011610769, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.el', 'subgroup_hash': 1317113821011610769, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.el', 'subgroup_hash': 1317113821011610769, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ft1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.el', 'subgroup_hash': 1317113821011610769, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.el', 'subgroup_hash': 1317113821011610769, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.jw', 'subgroup_hash': 5238652545610127992, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^5.(S_3\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ut', 'subgroup_hash': 7354730834957570863, 'subgroup_order': 4608, 'subgroup_tex': 'D_6:C_2\\wr S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.jv', 'subgroup_hash': 8497658917055868142, 'subgroup_order': 4608, 'subgroup_tex': '(D_6\\times C_2^4):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ju', 'subgroup_hash': 5105422268350873792, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^5.(S_3\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.fz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.uw', 'subgroup_hash': 6071803754031315912, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4.(D_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ga1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ne', 'subgroup_hash': 2063357420616860295, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^4.(D_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.gb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.jt', 'subgroup_hash': 4081559653727688791, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^5:(S_3\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.gc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ur', 'subgroup_hash': 1875393407381238932, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^5:(S_3\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66829728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.gd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.el', 'subgroup_hash': 1317113821011610769, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.ge1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.el', 'subgroup_hash': 1317113821011610769, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.gf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ek', 'subgroup_hash': 8571586339696458052, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.gg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.ej', 'subgroup_hash': 5844966144888185066, 'subgroup_order': 4608, 'subgroup_tex': 'A_4\\times C_2\\wr S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.gh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.bs', 'subgroup_hash': 3000911920882418164, 'subgroup_order': 4608, 'subgroup_tex': 'S_4^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.gi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.bs', 'subgroup_hash': 3000911920882418164, 'subgroup_order': 4608, 'subgroup_tex': 'S_4^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10080.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10080.gj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.el', 'subgroup_hash': 1317113821011610769, 'subgroup_order': 4608, 'subgroup_tex': 'C_2\\wr A_4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10752.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10752.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bh', 'subgroup_hash': 8888903546687000962, 'subgroup_order': 4320, 'subgroup_tex': 'A_4\\times A_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.10752.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10752.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4320.bv', 'subgroup_hash': 3755218601515265701, 'subgroup_order': 4320, 'subgroup_tex': 'C_6:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqj', 'subgroup_hash': 4357977519545004590, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bpr', 'subgroup_hash': 6957117402033815605, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bou', 'subgroup_hash': 1515441860173897586, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqc', 'subgroup_hash': 2624112156222153876, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^7:C_4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66829743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bph', 'subgroup_hash': 6089021123439717052, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqa', 'subgroup_hash': 6178060589137610885, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^2.C_2^2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bqe', 'subgroup_hash': 8012164767002238944, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bpq', 'subgroup_hash': 2557723460290847521, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^2.C_2^2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bpw', 'subgroup_hash': 2451331487209765843, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bpx', 'subgroup_hash': 7972335700584246177, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.boz', 'subgroup_hash': 7153896839657926671, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bph', 'subgroup_hash': 6089021123439717052, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.mB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bpp', 'subgroup_hash': 3697371119964931517, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2\\wr D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.mC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bop', 'subgroup_hash': 6628523544377200312, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bpk', 'subgroup_hash': 5728706255710322955, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.oB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bpo', 'subgroup_hash': 1803392180508422316, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.oC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.boo', 'subgroup_hash': 7462710718403426940, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2\\wr D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8302824726039956018, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66829758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1268571122759433606, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66829759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.boi', 'subgroup_hash': 8338695361436366116, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bpe', 'subgroup_hash': 2934824473896239560, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^5.C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bpt', 'subgroup_hash': 6368288628280063021, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bow', 'subgroup_hash': 2172856193976610970, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^2.C_2^2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.vB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.boh', 'subgroup_hash': 7282668615247213970, 'subgroup_order': 4096, 'subgroup_tex': '(C_2^2\\times D_4^2).C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66829765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.vC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bpq', 'subgroup_hash': 2557723460290847521, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^2.C_2^2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4245824546997012863, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 984815507599374408, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66829768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 216532369531219583, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66829769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4447062355033960407, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66829770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5964512838990442675, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1160929830380964392, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5233961565714923872, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66829774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7985177340092142157, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66829775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8732708977198034958, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^4.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5639929202210505412, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66829777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1032275067499192935, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3771610569432736049, 'subgroup_order': 4096, 'subgroup_tex': 'C_2.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66829779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2977986727883006010, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^4.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.bjB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bor', 'subgroup_hash': 3496713241828191941, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^2\\wr C_2^2.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66829781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.bjC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.box', 'subgroup_hash': 4366851501038883164, 'subgroup_order': 4096, 'subgroup_tex': 'C_2\\wr D_4.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66829782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4096.bom', 'subgroup_hash': 877766064664844708, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66829783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1551996247547612289, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66829785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7434341471984925386, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^6.C_2^5.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66829786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4689805220438113051, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66829787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.11340.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11340.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 11340, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3757121230790128649, 'subgroup_order': 4096, 'subgroup_tex': 'C_2^3.C_2^6.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66829788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': 1791013378809057980, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': 1791013378809057980, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ck', 'subgroup_hash': 46357228566650616, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^6:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.db', 'subgroup_hash': 3401868981410631517, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.dd', 'subgroup_hash': 8268841603088063295, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\times C_2^4:D_5\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.dd', 'subgroup_hash': 8268841603088063295, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\times C_2^4:D_5\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ck', 'subgroup_hash': 46357228566650616, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^6:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.dd', 'subgroup_hash': 8268841603088063295, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\times C_2^4:D_5\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.dd', 'subgroup_hash': 8268841603088063295, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\times C_2^4:D_5\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.du', 'subgroup_hash': 5209562129478761074, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr A_4:F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.dx', 'subgroup_hash': 350438082260745922, 'subgroup_order': 3840, 'subgroup_tex': '(C_2^4\\times A_5):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.dw', 'subgroup_hash': 2389363079572439299, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^3.(D_4\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.gz', 'subgroup_hash': 1124909378792601457, 'subgroup_order': 3840, 'subgroup_tex': 'A_5.D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.dt', 'subgroup_hash': 5196681012526375807, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^4:D_5\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66829804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.dd', 'subgroup_hash': 8268841603088063295, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\times C_2^4:D_5\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.cs', 'subgroup_hash': 7461554751685223797, 'subgroup_order': 3840, 'subgroup_tex': 'C_4\\times C_2^4:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': 1791013378809057980, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ck', 'subgroup_hash': 46357228566650616, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^6:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': 1791013378809057980, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ck', 'subgroup_hash': 46357228566650616, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^6:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.dd', 'subgroup_hash': 8268841603088063295, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\times C_2^4:D_5\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.dd', 'subgroup_hash': 8268841603088063295, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\times C_2^4:D_5\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ie', 'subgroup_hash': 889662381466562153, 'subgroup_order': 3840, 'subgroup_tex': 'C_6:C_2\\wr F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ck', 'subgroup_hash': 46357228566650616, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^6:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.cl', 'subgroup_hash': 7589697000374818709, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829816
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4267649552060312568, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^6.C_{30}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66829817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ek', 'subgroup_hash': 8854880237512788236, 'subgroup_order': 3840, 'subgroup_tex': '(C_2^3\\times A_5).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ej', 'subgroup_hash': 1315259392270561639, 'subgroup_order': 3840, 'subgroup_tex': '(D_4\\times A_5):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ei', 'subgroup_hash': 8297321017464140205, 'subgroup_order': 3840, 'subgroup_tex': '(C_2^3\\times S_5):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ee', 'subgroup_hash': 8346155233938445263, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^3.(C_2^2\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 66829822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.de', 'subgroup_hash': 6096515307828804053, 'subgroup_order': 3840, 'subgroup_tex': '(A_4\\times C_2^4):F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.de', 'subgroup_hash': 6096515307828804053, 'subgroup_order': 3840, 'subgroup_tex': '(A_4\\times C_2^4):F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.cp', 'subgroup_hash': 5820261372762104313, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': 1791013378809057980, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ck', 'subgroup_hash': 46357228566650616, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^6:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': 1791013378809057980, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': 1791013378809057980, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.blB', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': 1791013378809057980, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.blC', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': 1791013378809057980, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': 1791013378809057980, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.cs', 'subgroup_hash': 7461554751685223797, 'subgroup_order': 3840, 'subgroup_tex': 'C_4\\times C_2^4:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.cp', 'subgroup_hash': 5820261372762104313, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.cp', 'subgroup_hash': 5820261372762104313, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.cp', 'subgroup_hash': 5820261372762104313, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ck', 'subgroup_hash': 46357228566650616, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^6:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': 1791013378809057980, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': 1791013378809057980, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.de', 'subgroup_hash': 6096515307828804053, 'subgroup_order': 3840, 'subgroup_tex': '(A_4\\times C_2^4):F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.de', 'subgroup_hash': 6096515307828804053, 'subgroup_order': 3840, 'subgroup_tex': '(A_4\\times C_2^4):F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.de', 'subgroup_hash': 6096515307828804053, 'subgroup_order': 3840, 'subgroup_tex': '(A_4\\times C_2^4):F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.de', 'subgroup_hash': 6096515307828804053, 'subgroup_order': 3840, 'subgroup_tex': '(A_4\\times C_2^4):F_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ck', 'subgroup_hash': 46357228566650616, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^6:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': 1791013378809057980, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.cj', 'subgroup_hash': 1305591164062151476, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^5:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ci', 'subgroup_hash': 3734790609461412482, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ch', 'subgroup_hash': 1791013378809057980, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr S_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.ck', 'subgroup_hash': 46357228566650616, 'subgroup_order': 3840, 'subgroup_tex': 'C_2^6:A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12096.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12096.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3840.cl', 'subgroup_hash': 7589697000374818709, 'subgroup_order': 3840, 'subgroup_tex': 'C_2\\wr A_5', 'supersolvable': False, 'sylow': 0}
  • id: 66829853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 256, 'counter': 951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.12960.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12960.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3584.ba', 'subgroup_hash': 6192049866890733466, 'subgroup_order': 3584, 'subgroup_tex': 'C_2^8:D_7', 'supersolvable': False, 'sylow': 0}
  • id: 66829854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.hh', 'subgroup_hash': 3126656316174363664, 'subgroup_order': 3456, 'subgroup_tex': '(A_4\\times C_6^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': 8386965880276848801, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': 8386965880276848801, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': 8386965880276848801, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': 8386965880276848801, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829859
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.ny', 'subgroup_hash': 2245094974551824345, 'subgroup_order': 3456, 'subgroup_tex': 'C_2\\times A_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 66829860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jl', 'subgroup_hash': 8386182637788778458, 'subgroup_order': 3456, 'subgroup_tex': 'C_2\\times A_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.no', 'subgroup_hash': 560915072711603192, 'subgroup_order': 3456, 'subgroup_tex': 'A_4^2:C_2^2\\times C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.dx', 'subgroup_hash': 316299168455120176, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.cy', 'subgroup_hash': 6539009158369359883, 'subgroup_order': 3456, 'subgroup_tex': 'A_4^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66829865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.cy', 'subgroup_hash': 6539009158369359883, 'subgroup_order': 3456, 'subgroup_tex': 'A_4^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66829866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.cy', 'subgroup_hash': 6539009158369359883, 'subgroup_order': 3456, 'subgroup_tex': 'A_4^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66829867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.cy', 'subgroup_hash': 6539009158369359883, 'subgroup_order': 3456, 'subgroup_tex': 'A_4^2:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66829868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.lt', 'subgroup_hash': 578755742215574034, 'subgroup_order': 3456, 'subgroup_tex': 'A_4^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.lt', 'subgroup_hash': 578755742215574034, 'subgroup_order': 3456, 'subgroup_tex': 'A_4^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.lt', 'subgroup_hash': 578755742215574034, 'subgroup_order': 3456, 'subgroup_tex': 'A_4^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.dl', 'subgroup_hash': 2840123893090723606, 'subgroup_order': 3456, 'subgroup_tex': 'A_4^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.cf', 'subgroup_hash': 7586031096738035486, 'subgroup_order': 3456, 'subgroup_tex': 'C_2^6:C_9:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.cd', 'subgroup_hash': 4289168174303799358, 'subgroup_order': 3456, 'subgroup_tex': 'C_2^2:A_4^2:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 971, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': 8386965880276848801, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': 8386965880276848801, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 973, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.fr', 'subgroup_hash': 1856119702887357537, 'subgroup_order': 3456, 'subgroup_tex': 'C_2\\times A_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 974, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.fq', 'subgroup_hash': 4265802668929192951, 'subgroup_order': 3456, 'subgroup_tex': 'C_6.\\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66829879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 975, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.en', 'subgroup_hash': 677914573557495570, 'subgroup_order': 3456, 'subgroup_tex': 'A_4^2:C_4\\times C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 976, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.en', 'subgroup_hash': 677914573557495570, 'subgroup_order': 3456, 'subgroup_tex': 'A_4^2:C_4\\times C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66829881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 977, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.jm', 'subgroup_hash': 8386965880276848801, 'subgroup_order': 3456, 'subgroup_tex': 'C_6:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66829882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 978, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.13440.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13440.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.fs', 'subgroup_hash': 5534163309877246665, 'subgroup_order': 3456, 'subgroup_tex': '(C_3\\times A_4^2):D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66829883
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 256, 'counter': 979, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '46448640.a.181440.A', 'maximal': False, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '181440.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '181440.b', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4997447077356018806, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 181440, 'quotient_simple': True, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'A_9', 'simple': False, 'solvable': True, 'special_labels': ['F', 'R', 'S', 'C1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 66829885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 980, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '46448640.a.573440.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '573440.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 573440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.7', 'subgroup_hash': 7, 'subgroup_order': 81, 'subgroup_tex': 'C_3\\wr C_3', 'supersolvable': True, 'sylow': 3}
  • id: 66829886
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 981, 'cyclic': True, 'direct': None, 'hall': 7, 'label': '46448640.a.6635520.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6635520.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6635520, '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': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
  • id: 66829887
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 982, 'cyclic': True, 'direct': None, 'hall': 5, 'label': '46448640.a.9289728.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9289728.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9289728, '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: 66829888
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '46448640.a', 'ambient_counter': 1, 'ambient_order': 46448640, 'ambient_tex': 'C_2^8.A_9', 'central': True, 'central_factor': False, 'centralizer_order': 46448640, 'characteristic': True, 'core_order': 1, 'counter': 983, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '46448640.a.46448640.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '46448640.a1.N', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '46448640.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3081077742121420989, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 46448640, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^8.A_9', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'Phi', 'U0', 'C2'], '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: 66828989
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2304.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1152, 'diagramx': [75, -1, 1668, -1], 'generators': [3015752182744912, 13502373257], 'label': '46448640.a.2304.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1152.a1', 'old_label': '2304.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2304.B', 'subgroup_fusion': None, 'weyl_group': '20160.a'}
  • id: 66829145
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [359, -1, 3068, -1], 'generators': [5160, 1313941310640, 6266937600, 357001369406760, 6227020920, 6227400383, 3780077620399927, 356995145618328], 'label': '46448640.a.4032.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '4032.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.L', 'subgroup_fusion': None, 'weyl_group': '5760.cm'}
  • id: 66829146
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [292, -1, 3056, -1], 'generators': [5646316798120015, 6227020806, 357001369401600, 39916806, 126, 1209184, 1313941305720, 1524560067111601], 'label': '46448640.a.4032.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.I', 'old_label': '4032.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829147
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [761, -1, 3138, -1], 'generators': [6227020806, 5290629370386895, 357001369401600, 39916806, 1523252393106481, 126, 357001370242864, 1313941305720], 'label': '46448640.a.4032.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.I', 'old_label': '4032.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829148
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [694, -1, 3126, -1], 'generators': [5160, 1313941322183, 1313941310640, 4135771315065720, 6266937600, 357001369406760, 6227020920, 1313944906009], 'label': '46448640.a.4032.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '4032.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.O', 'subgroup_fusion': None, 'weyl_group': '5760.cm'}
  • id: 66829149
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [178, -1, 3036, -1], 'generators': [367920, 355687428101040, 355687428096001, 2618151895716054, 362886, 5275346647294679, 40279680], 'label': '46448640.a.4032.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '4032.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.P', 'subgroup_fusion': None, 'weyl_group': '23040.x'}
  • id: 66829330
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2210, -1, 4674, -1], 'generators': [5160, 365444905162030, 1313901756720, 357001329489847, 126, 357001329489966, 8415793578103, 6227020806], 'label': '46448640.a.6048.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '6048.cj1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829331
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2171, -1, 4667, -1], 'generators': [5160, 6227020806, 357001329489966, 8455989444185, 126, 357001329489847, 1313901756720, 365404628736702], 'label': '46448640.a.6048.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '6048.ck1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829332
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2057, -1, 4647, -1], 'generators': [5160, 6227020806, 121, 9723467946102, 362886, 9763703728985, 1313901393846, 363000], 'label': '46448640.a.6048.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '6048.cl1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829333
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1905, -1, 4621, -1], 'generators': [365404668653503, 5160, 363000, 1313901393846, 362886, 365444905162030, 121, 6227020806], 'label': '46448640.a.6048.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '6048.cm1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CM', 'subgroup_fusion': None, 'weyl_group': '7680.u'}
  • id: 66829334
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1129, -1, 4486, -1], 'generators': [6227020806, 367920, 364056846894415, 12513260793743, 357001329489847, 362886, 357001329484806, 1313901393846], 'label': '46448640.a.6048.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BI', 'old_label': '6048.cn1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CN', 'subgroup_fusion': None, 'weyl_group': '3840.cn'}
  • id: 66829335
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1356, -1, 4525, -1], 'generators': [6227383680, 363000, 6576566976, 356995102469041, 5160, 1870503730467241, 356995102469160, 1307674373040, 4143931107241], 'label': '46448640.a.6048.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '6048.co1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829336
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2514, -1, 4727, -1], 'generators': [8455989444185, 364096954368703, 355687428096120, 126, 355687428096001, 39916806, 5160, 6227020806], 'label': '46448640.a.6048.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '6048.cp1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829337
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1944, -1, 4627, -1], 'generators': [5160, 6227020806, 121, 8455989444185, 8415753661302, 362886, 1313901393846, 363000], 'label': '46448640.a.6048.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '6048.cq1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CQ', 'subgroup_fusion': None, 'weyl_group': '7680.u'}
  • id: 66829511
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8064.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': None, 'generators': [6227020806, 355687428458880, 355687428096001, 357001546371408, 362886, 355687643013241, 3017046361225553], 'label': '46448640.a.8064.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '8064.fC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.G', 'subgroup_fusion': None, 'weyl_group': '5760.cm'}
  • id: 66829512
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8064.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [313, -1, 6613, -1], 'generators': [6227020806, 355687428458880, 355687428096001, 355687643018161, 3372733829238353, 362886, 357001506449694], 'label': '46448640.a.8064.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '8064.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829513
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8064.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [380, -1, 6625, -1], 'generators': [6227020806, 355687603101481, 3015744913883518, 355687428458880, 355687428096001, 176601888, 362886], 'label': '46448640.a.8064.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '8064.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.I', 'subgroup_fusion': None, 'weyl_group': '5760.cm'}
  • id: 66829514
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8064.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [247, -1, 6601, -1], 'generators': [367920, 6227383680, 1864924235976544, 356995102464000, 355687730472535, 1871891965819745, 356995102469041, 1307674373040], 'label': '46448640.a.8064.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.I', 'old_label': '8064.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.J', 'subgroup_fusion': None, 'weyl_group': '5760.eh'}
  • id: 66829828
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1076, -1, 9394, -1], 'generators': [5160, 1510538254859944, 6227020920, 1110262091932096, 1307674373040, 356995454083176, 356995102469160], 'label': '46448640.a.12096.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.D', 'old_label': '12096.bk1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828917
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [721, -1, 1101, -1], 'generators': [359791162174086, 365391082453975, 5640743566869823, 357001369769646, 1313941673526, 40279680, 357001369769527, 6227383806, 5160, 6227383680], 'label': '46448640.a.1512.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '1512.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.G', 'subgroup_fusion': None, 'weyl_group': '61440.cg'}
  • id: 66828918
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [832, -1, 1120, -1], 'generators': [359791162174086, 5285056138410943, 365391082811815, 357001369769646, 1313941673526, 40279680, 357001369769527, 6227383806, 5160, 6227383680], 'label': '46448640.a.1512.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '1512.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.H', 'subgroup_fusion': None, 'weyl_group': '61440.cg'}
  • id: 66828919
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '135.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 270, 'diagramx': [58, -1, 95, -1], 'generators': [40279680, 363000, 6227020806, 2630631802590863, 357001369769646, 362886, 3784181488819488, 5628250160870088, 4540185403470862, 1313941673526, 5160, 357001369769527, 6042535209849185], 'label': '46448640.a.135.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '135.a1', 'old_label': '135.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '135.a1', 'subgroup_fusion': None, 'weyl_group': '172032.bn'}
  • id: 66828907
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [39, 6967, 3, 1895], 'generators': [6038310931839217, 756016368670080, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '46448640.a'}
  • id: 66828908
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '126.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 126, 'diagramx': [52, -1, 81, -1], 'generators': [2795975861465, 357001594370062, 363000, 364070046429790, 5160, 357001369769527, 362886, 4886195951738166, 19568348363950, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.126.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.a1', 'old_label': '126.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828909
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1260.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1260, 'diagramx': [177, -1, 873, -1], 'generators': [357008514537174, 2262457280523007, 363000, 1307674391617, 5160, 357001369769527, 362886, 40279680, 13962069256336, 357001369769646, 370963356036478, 364076270208718, 1313941673526, 6227020806], 'label': '46448640.a.1260.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '1260.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1260.K', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66828910
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1344.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [48, -1, 972, -1], 'generators': [40307766, 1118665127837105, 1307714284800, 2262484064695680, 6227383680, 356995142743680, 40279680, 356995142380801], 'label': '46448640.a.1344.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.B', 'old_label': '1344.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1344.a1', 'subgroup_fusion': None, 'weyl_group': '23040.x'}
  • id: 66828911
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [202, -1, 1010, -1], 'generators': [358483447889286, 357001416962329, 126, 5631033812164537, 364083495511800, 5160, 357001369769527, 40279680, 357001369769646, 1313941673526], 'label': '46448640.a.1512.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.B', 'old_label': '1512.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.A', 'subgroup_fusion': None, 'weyl_group': '15360.cn'}
  • id: 66828912
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [564, -1, 1073, -1], 'generators': [358483447889286, 126, 5631039999268537, 364083495511800, 5160, 357001369769527, 40279680, 357001369769646, 1313941673526, 356995229858329], 'label': '46448640.a.1512.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.B', 'old_label': '1512.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.B', 'subgroup_fusion': None, 'weyl_group': '30720.dk'}
  • id: 66828913
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [777, -1, 1110, -1], 'generators': [356995189946569, 126, 359791162174086, 364083495511800, 5275352611089337, 5160, 357001369769527, 40279680, 357001369769646, 1313941673526], 'label': '46448640.a.1512.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.D', 'old_label': '1512.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.C', 'subgroup_fusion': None, 'weyl_group': '30720.dk'}
  • id: 66828914
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [457, -1, 1054, -1], 'generators': [126, 5275346344151737, 359791162174086, 364083495511800, 5160, 357001369769527, 40279680, 357001369769646, 357001456884169, 1313941673526], 'label': '46448640.a.1512.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.D', 'old_label': '1512.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.D', 'subgroup_fusion': None, 'weyl_group': '15360.cn'}
  • id: 66828915
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [890, -1, 1130, -1], 'generators': [6227383806, 5636626594945625, 6227383680, 1307801774143, 359791162174086, 364083495511800, 5160, 357001369776022, 357001369769527, 40279680, 357001369769646, 5592950052606, 1313941673526], 'label': '46448640.a.1512.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.E', 'old_label': '1512.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828916
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [39, -1, 982, -1], 'generators': [1314028794823, 6227383806, 5636626594945625, 6227383680, 359791162174086, 364083495511800, 5160, 357001369776022, 357001369769527, 40279680, 357001369769646, 5592950052606, 1313941673526], 'label': '46448640.a.1512.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.E', 'old_label': '1512.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828920
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [666, -1, 1091, -1], 'generators': [4124592813196936, 6227383806, 6227383680, 364083455595006, 358483487806080, 5160, 357001369769527, 40279680, 357001369769646, 4523433495811488, 1313941673526], 'label': '46448640.a.1512.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '1512.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.I', 'subgroup_fusion': None, 'weyl_group': '61440.cg'}
  • id: 66828921
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [613, -1, 1082, -1], 'generators': [357001369769646, 6227383806, 6227025966, 357001369769527, 1314291658009, 362886, 1876076955619919, 40279680, 358483361609527, 1313941673526], 'label': '46448640.a.1512.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '1512.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.J', 'subgroup_fusion': None, 'weyl_group': '30720.dq'}
  • id: 66828922
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [953, -1, 1141, -1], 'generators': [4124592813196936, 6227383806, 6227383680, 359791162174086, 364083495511800, 5160, 357001369769527, 40279680, 357001369769646, 4523433495811488, 1313941673526], 'label': '46448640.a.1512.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.a1', 'old_label': '1512.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828923
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1066, -1, 1161, -1], 'generators': [359791035977521, 1520389527523913, 357001369769646, 1313941673526, 357001369769527, 1308024720409, 6227383806, 40279680, 6227025966, 362886], 'label': '46448640.a.1512.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '1512.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.L', 'subgroup_fusion': None, 'weyl_group': '15360.cu'}
  • id: 66828924
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [401, -1, 1045, -1], 'generators': [357001369769646, 1520389527523913, 6227383806, 6227025966, 357001369769527, 1314291658009, 362886, 40279680, 359791035977521, 1313941673526], 'label': '46448640.a.1512.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '1512.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.M', 'subgroup_fusion': None, 'weyl_group': '30720.dq'}
  • id: 66828925
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1114, -1, 1169, -1], 'generators': [358483361609527, 1520389527523913, 357001369769646, 363000, 1313941673526, 357001369769527, 1308024720409, 6267300486, 5160, 6227383680], 'label': '46448640.a.1512.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '1512.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.N', 'subgroup_fusion': None, 'weyl_group': '15360.cu'}
  • id: 66828926
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1014, -1, 1152, -1], 'generators': [359791035977521, 1876076955619919, 357001369769646, 6267300486, 363000, 1313941673526, 1314291658009, 357001369769527, 5160, 6227383680], 'label': '46448640.a.1512.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '1512.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.O', 'subgroup_fusion': None, 'weyl_group': '15360.cu'}
  • id: 66828927
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [512, -1, 1064, -1], 'generators': [358483361609527, 1520389527523913, 357001369769646, 6267300486, 363000, 1313941673526, 1314291658009, 357001369769527, 5160, 6227383680], 'label': '46448640.a.1512.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '1512.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.P', 'subgroup_fusion': None, 'weyl_group': '15360.cu'}
  • id: 66828928
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [90, -1, 991, -1], 'generators': [359791035977521, 1876076955619919, 357001369769646, 6267300486, 363000, 1313941673526, 357001369769527, 1308024720409, 5160, 6227383680], 'label': '46448640.a.1512.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '1512.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.Q', 'subgroup_fusion': None, 'weyl_group': '15360.cu'}
  • id: 66828929
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 756, 'diagramx': [282, -1, 1024, -1], 'generators': [5599177073400, 364083455595006, 5276660198722417, 363000, 358483487806080, 5160, 357001369769527, 362886, 40279680, 4887503491852488, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.1512.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.E', 'old_label': '1512.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828930
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '144.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [73, -1, 112, -1], 'generators': [6227020806, 1314250934710, 367920, 361293705561463, 357001369769527, 362886, 40279680, 357001369764486, 1313941673526], 'label': '46448640.a.144.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.C', 'old_label': '144.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.A', 'subgroup_fusion': None, 'weyl_group': '161280.a'}
  • id: 66828931
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1512, 'diagramx': [1158, -1, 1177, -1], 'generators': [1510625212191343, 357001369769646, 363000, 1313941673526, 40279680, 362886, 6028620605268185, 357001369769527, 5160, 6227020806], 'label': '46448640.a.1512.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '1512.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.S', 'subgroup_fusion': None, 'weyl_group': '7680.cm'}
  • id: 66828932
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 378, 'diagramx': [147, -1, 1000, -1], 'generators': [4523420123325366, 1308024720409, 363000, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1108988464159150, 1313941673526, 6227020806], 'label': '46448640.a.1512.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '1512.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.T', 'subgroup_fusion': None, 'weyl_group': '30720.dq'}
  • id: 66828933
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1512.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 756, 'diagramx': [353, -1, 1037, -1], 'generators': [5631107060303976, 4523500905229463, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.1512.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '1512.u1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.U', 'subgroup_fusion': None, 'weyl_group': '7680.u'}
  • id: 66828934
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1680.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [110, -1, 1197, -1], 'generators': [262091808, 6227383806, 4125900487967710, 356995142748840, 6227383680, 6227025966, 6267300486, 6384260737233233, 6038257022755510, 753301346140799, 357001369769527, 358504084879927, 1313941673526], 'label': '46448640.a.1680.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '1680.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1680.A', 'subgroup_fusion': None, 'weyl_group': '27648.cw'}
  • id: 66828935
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1680.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [405, -1, 1248, -1], 'generators': [262091808, 6227383806, 4125900487967710, 356995142748840, 6227383680, 6227025966, 6267300486, 6384260737233233, 6038257022755510, 357001369769527, 358504084879927, 1110296488879312, 1313941673526], 'label': '46448640.a.1680.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '1680.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1680.B', 'subgroup_fusion': None, 'weyl_group': '27648.cw'}
  • id: 66828936
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1680.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [176, -1, 1208, -1], 'generators': [262091808, 6227383806, 4125900487967710, 356995142748840, 6227383680, 6227025966, 6267300486, 753301346140799, 6038257022755510, 357001369769527, 358504084879927, 6385562145031678, 1313941673526], 'label': '46448640.a.1680.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '1680.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1680.C', 'subgroup_fusion': None, 'weyl_group': '27648.cw'}
  • id: 66828937
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1680.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [471, -1, 1260, -1], 'generators': [262091808, 6227383806, 4125900487967710, 356995142748840, 6227383680, 6227025966, 6267300486, 6038257022755510, 357001369769527, 358504084879927, 1110296488879312, 6385562145031678, 1313941673526], 'label': '46448640.a.1680.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '1680.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1680.D', 'subgroup_fusion': None, 'weyl_group': '27648.cw'}
  • id: 66828938
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1680.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 840, 'diagramx': [332, -1, 1235, -1], 'generators': [357001631861454, 363000, 3768911652078305, 6038257022755510, 753301346140799, 5160, 357001369769527, 362886, 40279680, 357001369769646, 4130517888121, 1313941673526, 6227020806], 'label': '46448640.a.1680.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '1680.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1680.E', 'subgroup_fusion': None, 'weyl_group': '27648.cw'}
  • id: 66828939
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1680.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 840, 'diagramx': [251, -1, 1221, -1], 'generators': [357001631861454, 365383945750326, 3389464922019430, 6029860955707745, 363000, 5160, 357001369769527, 362886, 40279680, 1510538252428927, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.1680.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '1680.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1680.F', 'subgroup_fusion': None, 'weyl_group': '27648.cw'}
  • id: 66828940
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1680.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 280, 'diagramx': [46, -1, 1186, -1], 'generators': [357001631861454, 363000, 6384260737233233, 6038257022755510, 3768911652078305, 5160, 357001369769527, 362886, 40279680, 357001369769646, 4130517888121, 1313941673526, 6227020806], 'label': '46448640.a.1680.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '280.a1', 'old_label': '1680.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1680.G', 'subgroup_fusion': None, 'weyl_group': '41472.j'}
  • id: 66828941
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '144.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [35, -1, 106, -1], 'generators': [357001369769646, 6227020806, 357001369764607, 367920, 6920138574577, 362886, 40279680, 1313941673526, 355687817200991], 'label': '46448640.a.144.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '144.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.B', 'subgroup_fusion': None, 'weyl_group': '322560.b'}
  • id: 66828942
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1890.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 945, 'diagramx': None, 'generators': [364089682655879, 9717415118663, 363000, 5625915689536, 2796411335633, 20868751423433, 5160, 8436564495768, 362886, 40279680, 16744934304414, 121, 1313941673526, 6227020806], 'label': '46448640.a.1890.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.B', 'old_label': '1890.aB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1890.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828943
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1890.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': None, 'generators': [19608712698958, 54123943368, 372479700067615, 15302966491576, 363000, 9737101018822, 5160, 15303013688887, 362886, 40279680, 121, 1313941673526, 2790143233631, 6227020806], 'label': '46448640.a.1890.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '1890.aC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1890.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828944
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1890.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [120, -1, 1284, -1], 'generators': [54123943368, 375302327540993, 15302966491576, 363000, 9737101018822, 5160, 15303013688887, 18106133448528, 362886, 40279680, 121, 1313941673526, 2790143233631, 6227020806], 'label': '46448640.a.1890.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '1890.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1890.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828945
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1890.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [278, -1, 1311, -1], 'generators': [54123943368, 372479700067615, 375302327540993, 15302966491576, 363000, 9737101018822, 5160, 15303013688887, 362886, 40279680, 121, 1313941673526, 2790143233631, 6227020806], 'label': '46448640.a.1890.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '1890.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1890.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828946
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1890.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 945, 'diagramx': None, 'generators': [9717415118663, 363000, 5625915689536, 2796411335633, 20868751423433, 5160, 8436564495768, 362886, 40279680, 16744934304414, 121, 9703741461112, 1313941673526, 6227020806], 'label': '46448640.a.1890.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.B', 'old_label': '1890.dB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1890.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828947
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1890.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': None, 'generators': [18059446512703, 19639872120, 363000, 2796411335633, 20868751423433, 5160, 20882202945862, 8436564495768, 362886, 5579888831999, 40279680, 121, 1313941673526, 6227020806], 'label': '46448640.a.1890.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '1890.dC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1890.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828948
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1890.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 945, 'diagramx': None, 'generators': [373733810115409, 9717415118663, 363000, 5625915689536, 2796411335633, 5160, 365437854426535, 357001369769527, 362886, 40279680, 357001369769646, 376549992783238, 1313941673526, 6227020806], 'label': '46448640.a.1890.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.B', 'old_label': '1890.eB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1890.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828949
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1890.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1890, 'diagramx': None, 'generators': [19608712698958, 369676452913937, 54123943368, 363000, 9737101018822, 359791473076144, 5160, 15303013688887, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.1890.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '1890.eC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1890.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828950
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1890.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 630, 'diagramx': [345, -1, 1323, -1], 'generators': [369676452913937, 54123943368, 363000, 9737101018822, 359791473076144, 5160, 15303013688887, 18106133448528, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.1890.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '1890.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1890.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828951
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1890.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1890, 'diagramx': [199, -1, 1297, -1], 'generators': [20862563512745, 363000, 2796408535265, 6267749334, 355687430906568, 5160, 1314379204145, 1394414755625, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.1890.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '1890.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1890.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828952
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '144.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [116, -1, 120, -1], 'generators': [5160, 1313941310640, 6266937600, 357001369406760, 6227020920, 2259701546844118, 357001369406641, 355687644982734], 'label': '46448640.a.144.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.B', 'old_label': '144.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.C', 'subgroup_fusion': None, 'weyl_group': '322560.b'}
  • id: 66828953
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1890.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1890, 'diagramx': [51, -1, 1272, -1], 'generators': [358531082807470, 369676452913937, 54123943368, 363000, 9737101018822, 359791473076144, 5160, 15303013688887, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.1890.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '1890.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1890.K', 'subgroup_fusion': None, 'weyl_group': '12288.bw'}
  • id: 66828954
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [1076, -1, 1514, -1], 'generators': [8382789285120, 357001369769646, 363000, 40279680, 1307714652720, 15269964180168, 5160, 362886], 'label': '46448640.a.2016.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '2016.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.A', 'subgroup_fusion': None, 'weyl_group': '2916.ed'}
  • id: 66828955
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [875, -1, 1479, -1], 'generators': [8382744541734, 19615114697039, 1307889653161, 5160, 363000, 1313941673526, 40279680, 362886, 121, 6227020806], 'label': '46448640.a.2016.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '2016.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.B', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66828956
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [827, -1, 1470, -1], 'generators': [6038249797451657, 2795975861465, 356995142748721, 363000, 356995142748840, 1307714652720, 349539415, 6267300486, 6227025966, 6227383680], 'label': '46448640.a.2016.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.H', 'old_label': '2016.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828957
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [924, -1, 1487, -1], 'generators': [19615114697039, 365384034477768, 5160, 1313941673526, 362886, 39916920, 357001369769527, 355693830117127, 357001329489966, 6227020806], 'label': '46448640.a.2016.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '2016.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.D', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66828958
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [370, -1, 1391, -1], 'generators': [754528110336294, 356995102504193, 357001369769527, 126, 1307674368120, 5631074270450502, 5632341359512320, 356995102464000, 4893089217395881], 'label': '46448640.a.2016.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.E', 'old_label': '2016.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.E', 'subgroup_fusion': None, 'weyl_group': '11520.cq'}
  • id: 66828959
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [110, -1, 1345, -1], 'generators': [357001369769646, 357001369764607, 367920, 6227383680, 4522158960451488, 5632408682634382, 5275352484432000, 40279680, 4891775315644086, 1108914131007049], 'label': '46448640.a.2016.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.M', 'old_label': '2016.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.F', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66828960
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [1020, -1, 1504, -1], 'generators': [4522158960451488, 5632408682634382, 357001369769646, 5275352484432000, 4891775276085241, 1110215578354128, 367920, 357001369764607, 40279680, 6227383680], 'label': '46448640.a.2016.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.N', 'old_label': '2016.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.G', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66828961
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [972, -1, 1495, -1], 'generators': [364076360109648, 19615114697039, 355693830480127, 357001369769646, 1313941673526, 39916920, 357001329489847, 5160, 362886, 6227020806], 'label': '46448640.a.2016.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '2016.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.H', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66828962
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [48, -1, 1334, -1], 'generators': [357001369769646, 6267305646, 6382825864933990, 357001369769527, 6227383680, 3383906146789702, 356995451635609, 1313941673526, 363000], 'label': '46448640.a.2016.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.I', 'old_label': '2016.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828963
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '168.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [153, -1, 148, -1], 'generators': [356995277492705, 1870564690690128, 357001369769646, 40284840, 363000, 1313941673526, 357055240562047, 362886, 357001369764607, 6227020806], 'label': '46448640.a.168.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '168.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828988
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2304.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [39, -1, 1661, -1], 'generators': [357001369406767, 362886, 6395413206078737, 2822263], 'label': '46448640.a.2304.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.A', 'old_label': '2304.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2304.A', 'subgroup_fusion': None, 'weyl_group': '6048.w'}
  • id: 66828964
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [1141, -1, 1525, -1], 'generators': [357001369769646, 40284840, 1313941310766, 1307674742416, 362886, 355693830117127, 357001369406767, 18133042228134, 6227020806], 'label': '46448640.a.2016.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '2016.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828965
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [262, -1, 1372, -1], 'generators': [5160, 357001369769527, 15269964180168, 362886, 1307714652720, 40279680, 8382789285120, 363000], 'label': '46448640.a.2016.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '2016.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.K', 'subgroup_fusion': None, 'weyl_group': '2916.ed'}
  • id: 66828966
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [769, -1, 1460, -1], 'generators': [5632388172202302, 357001329887999, 4537401788936887, 5275352484432000, 5041, 1110215578354128, 367920, 40279680, 6227383680], 'label': '46448640.a.2016.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.N', 'old_label': '2016.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.L', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66828967
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [703, -1, 1449, -1], 'generators': [5631033685144326, 5631074270450502, 6267340798, 4537401788936887, 40279680, 753226663352094, 5041, 367920, 6227383680], 'label': '46448640.a.2016.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.N', 'old_label': '2016.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.M', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66828968
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [435, -1, 1402, -1], 'generators': [355693695045263, 372506608489369, 40279801, 1313941673526, 1307889648120, 39916920, 5160, 362886, 6227020806], 'label': '46448640.a.2016.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '2016.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.N', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66828969
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [568, -1, 1425, -1], 'generators': [18126815212374, 1307674747462, 1313941673526, 1307889648120, 39916920, 5160, 40279801, 362886, 6227020806], 'label': '46448640.a.2016.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '2016.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.O', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66828970
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [502, -1, 1414, -1], 'generators': [355693695050297, 372512795593369, 40279801, 1313941673526, 1307889648120, 362886, 39916920, 5160, 6227020806], 'label': '46448640.a.2016.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '2016.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.P', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66828971
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [635, -1, 1437, -1], 'generators': [18133082149974, 40279801, 1313941673526, 1307889648120, 1307674742416, 39916920, 5160, 362886, 6227020806], 'label': '46448640.a.2016.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '2016.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.Q', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66828972
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [163, -1, 1354, -1], 'generators': [5160, 355693695045263, 6227383680, 9703655953920, 1307714652720, 40279680, 363000], 'label': '46448640.a.2016.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.G', 'old_label': '2016.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.R', 'subgroup_fusion': None, 'weyl_group': '2916.ed'}
  • id: 66828973
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [212, -1, 1363, -1], 'generators': [5160, 6227383680, 9703655953920, 1307674742416, 1307714652720, 40279680, 363000], 'label': '46448640.a.2016.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.G', 'old_label': '2016.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.S', 'subgroup_fusion': None, 'weyl_group': '23040.x'}
  • id: 66828974
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '168.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [94, -1, 138, -1], 'generators': [356995277492705, 1870564690690128, 357001369769646, 40284840, 363000, 1313941673526, 362886, 357049053458047, 357001369764607, 6227020806], 'label': '46448640.a.168.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '168.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828975
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2016.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [313, -1, 1381, -1], 'generators': [5160, 121, 15269964180168, 362886, 1307714652720, 40279680, 8382789285120, 363000], 'label': '46448640.a.2016.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '2016.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.T', 'subgroup_fusion': None, 'weyl_group': '23040.x'}
  • id: 66828976
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2160.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2160, 'diagramx': [240, -1, 1570, -1], 'generators': [5160, 1125659857996806, 356995142748721, 6028566868010591, 362886, 1307714652720, 40279680, 356995142748840, 363000], 'label': '46448640.a.2160.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1080.A', 'old_label': '2160.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2160.A', 'subgroup_fusion': None, 'weyl_group': '10752.k'}
  • id: 66828977
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2160.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2160, 'diagramx': [39, -1, 1535, -1], 'generators': [4139862816908142, 6392636823658192, 356995142748840, 1307714652720, 6028566993751991, 363000, 5160, 362886, 40279680, 3033744615417473, 4522125994831313, 356995142748721], 'label': '46448640.a.2160.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1080.B', 'old_label': '2160.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2160.B', 'subgroup_fusion': None, 'weyl_group': '21504.cf'}
  • id: 66828978
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2160.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1080, 'diagramx': [96, -1, 1545, -1], 'generators': [5160, 4883406246041023, 356995142748721, 2634903498943432, 362886, 1307714652720, 40279680, 356995142748840, 363000], 'label': '46448640.a.2160.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1080.C', 'old_label': '2160.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2160.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828979
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2160.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4320, 'diagramx': [168, -1, 1558, -1], 'generators': [1307714647686, 1110215754512056, 3775805923680576, 3784175038046032, 6046626226636798, 356995142385840, 356995142748847, 4527718817944903, 40284840], 'label': '46448640.a.2160.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2160.D', 'old_label': '2160.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2160.D', 'subgroup_fusion': None, 'weyl_group': '10752.bq'}
  • id: 66828980
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2160.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4320, 'diagramx': [377, -1, 1594, -1], 'generators': [2279216112767992, 39921966, 356995142380920, 4139862776991222, 5272556467063254, 1307714652720, 356995142748847, 3389432043508433, 6393944498026193], 'label': '46448640.a.2160.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2160.E', 'old_label': '2160.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2160.E', 'subgroup_fusion': None, 'weyl_group': '10752.k'}
  • id: 66828981
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2160.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1080, 'diagramx': [306, -1, 1582, -1], 'generators': [6028566868010591, 357001369769646, 6267300486, 1313941673526, 771286371574440, 357001369769527, 6227383806, 5160, 6227383680], 'label': '46448640.a.2160.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1080.A', 'old_label': '2160.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2160.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828982
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2240.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1120, 'diagramx': [214, -1, 1636, -1], 'generators': [357001369804096, 365383986928975, 3766162531587534, 363000, 2618138441318401, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.2240.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1120.A', 'old_label': '2240.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2240.A', 'subgroup_fusion': None, 'weyl_group': '41472.r'}
  • id: 66828983
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2240.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1120, 'diagramx': [42, -1, 1606, -1], 'generators': [2618158080752638, 397583, 356995142748840, 3766162531587534, 6267300486, 1307676804462, 1313941310766, 5160, 362886, 9690292253088, 2263764954533166, 356995142748721], 'label': '46448640.a.2240.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1120.B', 'old_label': '2240.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2240.B', 'subgroup_fusion': None, 'weyl_group': '41472.j'}
  • id: 66828984
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2240.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2240, 'diagramx': [154, -1, 1625, -1], 'generators': [397583, 356995142748840, 3766162531587534, 6267300486, 1313941310766, 5160, 362886, 355693697827783, 9690292253088, 2263772139552592, 2263764954533166, 356995142748721], 'label': '46448640.a.2240.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2240.C', 'old_label': '2240.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2240.C', 'subgroup_fusion': None, 'weyl_group': '20736.r'}
  • id: 66828985
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '168.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 84, 'diagramx': [40, -1, 128, -1], 'generators': [3015725311480447, 356995317409625, 363000, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 767236237269408, 6227020806], 'label': '46448640.a.168.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '168.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828986
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2240.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1120, 'diagramx': [98, -1, 1615, -1], 'generators': [397583, 356995142748840, 2263772139915473, 3766162531587534, 6267300486, 1313941310766, 5160, 362886, 1307676804457, 9690292253088, 2263764954533166, 356995142748721], 'label': '46448640.a.2240.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1120.C', 'old_label': '2240.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2240.D', 'subgroup_fusion': None, 'weyl_group': '41472.j'}
  • id: 66828987
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2268.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2268, 'diagramx': [61, -1, 1649, -1], 'generators': [351181864, 359784849323640, 13988937726841, 363000, 5275352699366279, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 1307889636502, 6227020806], 'label': '46448640.a.2268.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '2268.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2268.a1', 'subgroup_fusion': None, 'weyl_group': '10240.cg'}
  • id: 66828990
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 315, 'diagramx': [1285, -1, 1891, -1], 'generators': [2789706492727, 6227383806, 6227383680, 6227025966, 1308111004942, 6267300486, 33139370880, 41086679, 9723428028720, 1308111005392, 121, 6529392017, 1313941673526], 'label': '46448640.a.2520.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '2520.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.A', 'subgroup_fusion': None, 'weyl_group': '77120.g'}
  • id: 66828991
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1741, -1, 1971, -1], 'generators': [2789706492727, 6227383806, 6227383680, 6227025966, 1308111004942, 6267300486, 33139370880, 9723428028720, 1308111005392, 121, 18078961017168, 1313941673526, 6529392017], 'label': '46448640.a.2520.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '630.C', 'old_label': '2520.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828992
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [371, -1, 1732, -1], 'generators': [2789706492727, 6227383806, 6227383680, 6227025966, 1308111004942, 6267300486, 33139370880, 9723428028720, 1308111005392, 356995103276159, 121, 6529392017, 1313941673526], 'label': '46448640.a.2520.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '630.E', 'old_label': '2520.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828993
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 315, 'diagramx': [831, -1, 1812, -1], 'generators': [2789706492727, 6227383806, 6268107473, 6227383680, 6227025966, 1308111004942, 6267300486, 33139370880, 9723428028720, 1308111005392, 121, 6529392017, 1313941673526], 'label': '46448640.a.2520.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '2520.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.D', 'subgroup_fusion': None, 'weyl_group': '77120.g'}
  • id: 66828994
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 315, 'diagramx': [936, -1, 1830, -1], 'generators': [2789706492727, 1308111004942, 262454422, 363000, 5160, 362886, 40279680, 1308111005392, 121, 33139375926, 1313941673526, 9723428028841, 6227020806], 'label': '46448640.a.2520.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '2520.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.E', 'subgroup_fusion': None, 'weyl_group': '77120.g'}
  • id: 66828995
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1676, -1, 1959, -1], 'generators': [11172322027560, 357081931204144, 5631039953711568, 363000, 357001369406760, 357001418563326, 357001369769527, 40279680, 1864924232734102, 1113011470806049, 1313941673526, 368046, 6227020806], 'label': '46448640.a.2520.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '2520.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828996
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '252.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [230, -1, 190, -1], 'generators': [8388844548055, 4097382122574, 16784870066335, 39916920, 1313903825263, 5160, 357001369769527, 362886, 4531822598839103, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.252.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.a1', 'old_label': '252.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828997
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [430, -1, 1742, -1], 'generators': [12479995986785, 356995142748840, 1307716300217, 2619452343075121, 372445387009903, 363000, 6267300486, 366865976332942, 5160, 362886, 1327355337726, 1313941673526, 356995142748721], 'label': '46448640.a.2520.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.G', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66828998
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1902, -1, 1999, -1], 'generators': [11172322027560, 357081931204144, 5631039953711568, 363000, 357001369406760, 357001418563326, 357001369769527, 40279680, 1113011470806049, 1313941673526, 1510538291544383, 368046, 6227020806], 'label': '46448640.a.2520.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '2520.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66828999
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [714, -1, 1792, -1], 'generators': [355693656769222, 12479995986785, 356995142748840, 2619452343075121, 355700841770160, 372445387009903, 363000, 6267300486, 366865976332942, 5160, 362886, 1313941673526, 356995142748721], 'label': '46448640.a.2520.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.I', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829000
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [883, -1, 1821, -1], 'generators': [86789191391, 5276653933403934, 363000, 357001369406760, 357001418563326, 368173691786886, 357001369769527, 40279680, 1864924232734102, 1113011470806049, 1313941673526, 368046, 6227020806], 'label': '46448640.a.2520.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '2520.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829001
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [484, -1, 1752, -1], 'generators': [86789191391, 5276653933403934, 363000, 357001369406760, 357001418563326, 368173691786886, 357001369769527, 40279680, 1113011470806049, 1313941673526, 1510538291544383, 368046, 6227020806], 'label': '46448640.a.2520.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '2520.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829002
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1119, -1, 1862, -1], 'generators': [12479995986785, 356995142748840, 1307716300217, 2619452343075121, 355700841770160, 372445387009903, 363000, 6267300486, 366865976332942, 5160, 362886, 1313941673526, 356995142748721], 'label': '46448640.a.2520.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.L', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829003
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [773, -1, 1802, -1], 'generators': [355693656769222, 12479995986785, 356995142748840, 2619452343075121, 372445387009903, 363000, 6267300486, 366865976332942, 5160, 362886, 1327355337726, 1313941673526, 356995142748721], 'label': '46448640.a.2520.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.M', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829004
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [595, -1, 1771, -1], 'generators': [2789706492727, 6227383806, 6227383680, 6227025966, 1308111004942, 6267300486, 33139370880, 357001369769527, 1308111005392, 356995404477502, 357001369769646, 364096994284807, 1313941673526], 'label': '46448640.a.2520.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '630.E', 'old_label': '2520.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829005
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [251, -1, 1711, -1], 'generators': [356995142748840, 6227383680, 1307716300217, 1307714652720, 2262451053139327, 6227025966, 363000, 18059446540656, 366866016289630, 357001369769527, 40279680, 1327355337726, 12480035868743], 'label': '46448640.a.2520.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.O', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829006
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [44, -1, 1675, -1], 'generators': [355693656769222, 356995142748840, 6227383680, 1307714652720, 2262451053139327, 6227025966, 355700841770160, 363000, 18059446540656, 366866016289630, 357001369769527, 40279680, 12480035868743], 'label': '46448640.a.2520.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.P', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829007
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '252.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [98, -1, 167, -1], 'generators': [8388844548055, 4097382122574, 16784870066335, 39916920, 1313943742057, 5160, 357001369769527, 362886, 357001369769646, 1313941673526, 4530514924466063, 6227020806], 'label': '46448640.a.252.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.a1', 'old_label': '252.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829008
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [654, -1, 1781, -1], 'generators': [356995142748840, 6227383680, 1307716300217, 1307714652720, 2262451053139327, 6227025966, 355700841770160, 363000, 18059446540656, 366866016289630, 357001369769527, 40279680, 12480035868743], 'label': '46448640.a.2520.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.Q', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829009
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [538, -1, 1761, -1], 'generators': [355693656769222, 356995142748840, 6227383680, 1307714652720, 2262451053139327, 6227025966, 363000, 18059446540656, 366866016289630, 357001369769527, 40279680, 1327355337726, 12480035868743], 'label': '46448640.a.2520.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.R', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829010
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [185, -1, 1700, -1], 'generators': [1307716300103, 357001369406641, 355700841770160, 363000, 366865976695823, 1313941310640, 39916806, 2262451053502201, 357001369769646, 12479995623911, 16751771809776, 368046, 6227020806], 'label': '46448640.a.2520.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.S', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829011
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [111, -1, 1687, -1], 'generators': [1307716300217, 355700841770286, 357001369406641, 363000, 366865976695823, 1313941310640, 39916806, 2262451053502201, 357001369769646, 12479995623911, 16751771809776, 368046, 6227020806], 'label': '46448640.a.2520.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.T', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829012
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1351, -1, 1903, -1], 'generators': [1307716300103, 355700841770286, 357001369406641, 363000, 366865976695823, 1313941310640, 39916806, 2262451053502201, 357001369769646, 12479995623911, 16751771809776, 368046, 6227020806], 'label': '46448640.a.2520.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.u1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.U', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829013
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1615, -1, 1949, -1], 'generators': [1307716300217, 357001369406641, 355700841770160, 363000, 366865976695823, 1313941310640, 39916806, 2262451053502201, 357001369769646, 12479995623911, 16751771809776, 368046, 6227020806], 'label': '46448640.a.2520.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.v1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.V', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829014
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1260, 'diagramx': [1500, -1, 1929, -1], 'generators': [753220476271134, 3782927415819462, 363000, 80600481353, 357001418563326, 5160, 6031402949755729, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.2520.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '2520.w1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829015
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1260, 'diagramx': [1427, -1, 1916, -1], 'generators': [12479995986785, 2262451053139327, 355700841770160, 363000, 366865976332942, 18059446540656, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.2520.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.x1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.X', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829016
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1260, 'diagramx': [312, -1, 1722, -1], 'generators': [366926897801825, 5276727306933702, 363000, 1524546869131870, 357001418563326, 5160, 357001369769527, 362886, 40279680, 6385635170634838, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.2520.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '2520.y1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829017
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1260, 'diagramx': [1201, -1, 1877, -1], 'generators': [12479995986785, 1307716300217, 2262451053139327, 363000, 366865976332942, 18059446540656, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.2520.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.z1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.Z', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829018
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 9, 'diagramx': [37, -1, 9, -1], 'generators': [5632408810828783, 355707415901224, 357001369769646, 363000, 1313941673526, 40279680, 357001369769527, 5160, 362886, 6227020806], 'label': '46448640.a.9.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '9.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829019
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '252.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 126, 'diagramx': [165, -1, 179, -1], 'generators': [4097382122574, 16784870066335, 9696558832855, 363000, 6392643140217472, 5160, 357001369769527, 362886, 4139868740336767, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.252.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.a1', 'old_label': '252.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829020
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1260, 'diagramx': [1823, -1, 1985, -1], 'generators': [357081931204144, 5631039953711568, 363000, 357001418563326, 368173691786886, 5160, 357001369769527, 362886, 40279680, 756010181601054, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.2520.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '2520.ba1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829021
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2520, 'diagramx': [995, -1, 1841, -1], 'generators': [357062552973649, 67190849263, 359851955915929, 363000, 357001504490167, 5160, 369696181857840, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.2520.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '2520.bb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.BB', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829022
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1260, 'diagramx': [1058, -1, 1852, -1], 'generators': [357048878469414, 5599225059247, 363000, 364076310125215, 368167551055921, 5160, 357001369769527, 362886, 40279680, 8382742099201, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.2520.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '2520.bc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.BC', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829023
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2520.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 840, 'diagramx': [1560, -1, 1939, -1], 'generators': [2618219042605750, 4125940900680366, 1509237242991953, 363000, 3786991569078055, 5160, 4536107699978879, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.2520.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.B', 'old_label': '2520.bd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2520.BD', 'subgroup_fusion': None, 'weyl_group': '55296.i'}
  • id: 66829024
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2688.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2688, 'diagramx': [49, -1, 2010, -1], 'generators': [357001369764607, 60138465960, 367920, 174550320, 1527363398563193, 40279680], 'label': '46448640.a.2688.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2688.a1', 'old_label': '2688.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2688.a1', 'subgroup_fusion': None, 'weyl_group': '2592.iy'}
  • id: 66829025
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '2835.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2835, 'diagramx': [46, -1, 2022, -1], 'generators': [6393950898889672, 754528415149576, 4121803237340574, 363000, 5160, 357001369769527, 362886, 5640730462921656, 40279680, 5643520210558063, 357001369769646, 3378272913428992, 1313941673526, 6227020806], 'label': '46448640.a.2835.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '2835.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2835.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829026
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [854, -1, 2174, -1], 'generators': [5631107236094023, 355687428096120, 363000, 40279680, 1864985329283783, 355687428096001, 5160, 362886, 6227020806], 'label': '46448640.a.3024.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '3024.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.A', 'subgroup_fusion': None, 'weyl_group': '7680.cm'}
  • id: 66829027
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2280, -1, 2422, -1], 'generators': [355687428096120, 5160, 6227020806, 5276727522650856, 355687428096001, 1510611842851342, 362886, 40279680, 363000], 'label': '46448640.a.3024.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '3024.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.B', 'subgroup_fusion': None, 'weyl_group': '7680.cm'}
  • id: 66829028
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1836, -1, 2345, -1], 'generators': [6227020806, 357001369764607, 6384327584987398, 1313941668606, 362886, 40279680, 357001369764486, 3015738683613654, 363000], 'label': '46448640.a.3024.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '3024.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.C', 'subgroup_fusion': None, 'weyl_group': '3840.ch'}
  • id: 66829029
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1798, -1, 2338, -1], 'generators': [3372740053373208, 6227020806, 357001369764607, 6385629072609353, 1313941668606, 362886, 40279680, 357001369764486, 363000], 'label': '46448640.a.3024.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '3024.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829030
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '252.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 252, 'diagramx': [41, -1, 157, -1], 'generators': [6270543358, 2618178805658448, 357001369769646, 363000, 1313941673526, 40279680, 357001369769527, 5160, 362886, 6227020806], 'label': '46448640.a.252.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '252.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.D', 'subgroup_fusion': None, 'weyl_group': '46080.y'}
  • id: 66829031
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [39, -1, 2032, -1], 'generators': [5160, 6227020806, 357001329489966, 358483400731567, 40279806, 357001369769527, 1525968897090769, 1313941673526, 127382521], 'label': '46448640.a.3024.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '3024.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.E', 'subgroup_fusion': None, 'weyl_group': '7680.u'}
  • id: 66829032
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [185, -1, 2057, -1], 'generators': [5160, 6227020806, 357001329489966, 40279806, 357001369769527, 358483400726521, 1525968897085728, 1313941673526, 127382521], 'label': '46448640.a.3024.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '3024.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.F', 'subgroup_fusion': None, 'weyl_group': '7680.u'}
  • id: 66829033
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [949, -1, 2190, -1], 'generators': [1510611842851342, 5631107236094023, 357001369764607, 40284840, 363000, 357001369764486, 1313941668606, 362886, 6227020806], 'label': '46448640.a.3024.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '3024.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.G', 'subgroup_fusion': None, 'weyl_group': '7680.cm'}
  • id: 66829034
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2242, -1, 2416, -1], 'generators': [5276727522650856, 357001369764607, 40284840, 363000, 357001369764486, 1313941668606, 1864985329283783, 362886, 6227020806], 'label': '46448640.a.3024.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '3024.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.H', 'subgroup_fusion': None, 'weyl_group': '7680.cm'}
  • id: 66829035
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1722, -1, 2325, -1], 'generators': [5160, 6227020806, 1313941310640, 6385629072609353, 357001369406760, 357001369406641, 40279680, 3015738683613654, 363000], 'label': '46448640.a.3024.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '3024.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829036
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1760, -1, 2332, -1], 'generators': [3372740053373208, 5160, 6227020806, 1313941310640, 6384327584987398, 357001369406760, 357001369406641, 40279680, 363000], 'label': '46448640.a.3024.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '3024.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829037
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1240, -1, 2241, -1], 'generators': [367920, 357001369764607, 1313941668606, 3371378777660167, 6489923760, 362886, 15283153243447, 2796234352566, 357001369769646], 'label': '46448640.a.3024.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.B', 'old_label': '3024.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.K', 'subgroup_fusion': None, 'weyl_group': '15360.cn'}
  • id: 66829038
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [318, -1, 2081, -1], 'generators': [367920, 357001369764607, 4097681694720, 1313941668606, 3371378777660167, 6489923760, 15289379896447, 362886, 357001369769646], 'label': '46448640.a.3024.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.B', 'old_label': '3024.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.L', 'subgroup_fusion': None, 'weyl_group': '15360.cn'}
  • id: 66829039
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [510, -1, 2114, -1], 'generators': [357001369769646, 262902966, 357001369764607, 367920, 2790007689726, 3371372550639366, 1313941668606, 362886, 15283153243447], 'label': '46448640.a.3024.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.D', 'old_label': '3024.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829040
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1873, -1, 2352, -1], 'generators': [4103909083560, 262902966, 15289379896447, 357001369769646, 1313941668606, 3371372550639366, 367920, 357001369764607, 362886], 'label': '46448640.a.3024.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.D', 'old_label': '3024.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.N', 'subgroup_fusion': None, 'weyl_group': '7680.u'}
  • id: 66829041
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '256.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 256, 'diagramx': [28, -1, 198, -1], 'generators': [756010141286400, 2629384265531095], 'label': '46448640.a.256.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '256.a1', 'old_label': '256.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.a1', 'subgroup_fusion': None, 'weyl_group': '181440.b'}
  • id: 66829042
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2333, -1, 2432, -1], 'generators': [370976681795881, 4097681694720, 3383871923214121, 357001369769646, 40284840, 1313941668606, 367920, 357001369764607, 362886], 'label': '46448640.a.3024.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.B', 'old_label': '3024.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.O', 'subgroup_fusion': None, 'weyl_group': '15360.cn'}
  • id: 66829043
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2086, -1, 2389, -1], 'generators': [1882970266850335, 357001456504320, 358483400726521, 357001369769646, 40279680, 357001369769641, 1313941673640, 5160, 6227020806], 'label': '46448640.a.3024.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '3024.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.P', 'subgroup_fusion': None, 'weyl_group': '15360.cu'}
  • id: 66829044
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1077, -1, 2213, -1], 'generators': [357001369769641, 87465727, 5160, 1313941673640, 40279680, 357001369769646, 358483400726521, 1882970266850335, 6227020806], 'label': '46448640.a.3024.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '3024.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.Q', 'subgroup_fusion': None, 'weyl_group': '15360.e'}
  • id: 66829045
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [376, -1, 2091, -1], 'generators': [358483400363647, 357001456504320, 1882970266487454, 357001369769646, 40279680, 357001369769641, 1313941673640, 5160, 6227020806], 'label': '46448640.a.3024.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '3024.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.R', 'subgroup_fusion': None, 'weyl_group': '15360.cu'}
  • id: 66829046
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1298, -1, 2251, -1], 'generators': [4097380060800, 1525968897448609, 87465727, 357001369769646, 40279680, 357001369769641, 1313941673640, 5160, 6227020806], 'label': '46448640.a.3024.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '3024.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.S', 'subgroup_fusion': None, 'weyl_group': '30720.dq'}
  • id: 66829047
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1024, -1, 2204, -1], 'generators': [357001369769646, 357001369764607, 367920, 370976681795767, 1313941668606, 362886, 359791337179561, 3383871923214000, 40284840], 'label': '46448640.a.3024.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.D', 'old_label': '3024.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.T', 'subgroup_fusion': None, 'weyl_group': '15360.cn'}
  • id: 66829048
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [986, -1, 2197, -1], 'generators': [358483400363647, 357001416587526, 1882970266487454, 357001369769646, 40279680, 357001369769641, 1313941673640, 5160, 6227020806], 'label': '46448640.a.3024.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '3024.u1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.U', 'subgroup_fusion': None, 'weyl_group': '30720.dq'}
  • id: 66829049
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [902, -1, 2182, -1], 'generators': [6028566692215265, 4124592815172775, 4097681694720, 15289379896447, 357001369769646, 40284840, 1313941668606, 367920, 357001369764607, 362886], 'label': '46448640.a.3024.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.B', 'old_label': '3024.v1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.V', 'subgroup_fusion': None, 'weyl_group': '15360.cn'}
  • id: 66829050
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1684, -1, 2318, -1], 'generators': [4097380060800, 1525968897448609, 357001416587526, 357001369769646, 40279680, 357001369769641, 1313941673640, 5160, 6227020806], 'label': '46448640.a.3024.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '3024.w1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.W', 'subgroup_fusion': None, 'weyl_group': '15360.cu'}
  • id: 66829051
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1977, -1, 2369, -1], 'generators': [357001369769646, 357001369764607, 367920, 6028566692215265, 4124592815172775, 1313941668606, 362886, 359791337179561, 15289379896447, 40284840], 'label': '46448640.a.3024.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.D', 'old_label': '3024.x1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.X', 'subgroup_fusion': None, 'weyl_group': '15360.cn'}
  • id: 66829052
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '270.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 270, 'diagramx': [58, -1, 208, -1], 'generators': [9683057663400, 19588203947831, 363000, 12547270719238, 5160, 5659924447313, 362886, 40279680, 15303140691982, 121, 1313941673526, 6227020806], 'label': '46448640.a.270.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '135.a1', 'old_label': '270.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '270.a1', 'subgroup_fusion': None, 'weyl_group': '172032.bn'}
  • id: 66829053
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [443, -1, 2102, -1], 'generators': [4097379697926, 87465727, 1525968897085728, 357001369769646, 40279680, 357001369769641, 1313941673640, 5160, 6227020806], 'label': '46448640.a.3024.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '3024.y1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.Y', 'subgroup_fusion': None, 'weyl_group': '15360.cu'}
  • id: 66829054
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1144, -1, 2224, -1], 'generators': [357001456504320, 4097379697926, 1525968897085728, 357001369769646, 40279680, 357001369769641, 1313941673640, 5160, 6227020806], 'label': '46448640.a.3024.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '3024.z1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.Z', 'subgroup_fusion': None, 'weyl_group': '115680.s'}
  • id: 66829055
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1365, -1, 2263, -1], 'generators': [4097380060800, 1525968897448609, 357001456504320, 357001369769646, 40279680, 357001369769641, 1313941673640, 5160, 6227020806], 'label': '46448640.a.3024.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '3024.ba1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BA', 'subgroup_fusion': None, 'weyl_group': '15360.cu'}
  • id: 66829056
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [753, -1, 2156, -1], 'generators': [4097379697926, 357001416587526, 1525968897085728, 357001369769646, 40279680, 357001369769641, 1313941673640, 5160, 6227020806], 'label': '46448640.a.3024.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '3024.bb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BB', 'subgroup_fusion': None, 'weyl_group': '15360.e'}
  • id: 66829057
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [586, -1, 2127, -1], 'generators': [6227383806, 4097681694720, 1307714652720, 5599312156921, 6227025966, 6267300486, 15289379896447, 6042534897812401, 362886, 357001369769646, 3371372376785417, 356995142748721], 'label': '46448640.a.3024.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.E', 'old_label': '3024.bc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829058
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [252, -1, 2069, -1], 'generators': [6227383806, 4097681694720, 1307714652720, 3371378603806216, 5599312156921, 6227025966, 6267300486, 15289379896447, 6042534897812401, 362886, 357001369769646, 356995142748721], 'label': '46448640.a.3024.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.E', 'old_label': '3024.bd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829059
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [657, -1, 2139, -1], 'generators': [6384246936451624, 753287584464408, 127382521, 357001369769646, 363000, 40279680, 357001369406641, 1313941310640, 5160, 6227020806], 'label': '46448640.a.3024.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '3024.be1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BE', 'subgroup_fusion': None, 'weyl_group': '30720.dq'}
  • id: 66829060
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1531, -1, 2292, -1], 'generators': [357001369769646, 6227020806, 6385629072609353, 3371432338730454, 357001369769527, 40279680, 368046, 1313941673526, 363000], 'label': '46448640.a.3024.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '3024.bf1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BF', 'subgroup_fusion': None, 'weyl_group': '7680.u'}
  • id: 66829061
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1920, -1, 2360, -1], 'generators': [6384246936451624, 753287584464408, 87465727, 357001369769646, 363000, 40279680, 357001369406641, 1313941310640, 5160, 6227020806], 'label': '46448640.a.3024.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '3024.bg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BG', 'subgroup_fusion': None, 'weyl_group': '30720.dq'}
  • id: 66829062
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1569, -1, 2298, -1], 'generators': [6385635259713353, 3015738683613654, 357001369769646, 363000, 1313941673526, 40279680, 357001369769527, 368046, 6227020806], 'label': '46448640.a.3024.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '3024.bh1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829063
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '280.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 280, 'diagramx': [53, -1, 221, -1], 'generators': [363000, 3015691175387111, 3015677803582086, 5160, 361280640245328, 357001369769527, 362886, 6266977343, 40279680, 357001369769646, 349574382, 1313941673526, 4875090605722823, 4125947080175585, 6227020806], 'label': '46448640.a.280.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '280.a1', 'old_label': '280.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280.a1', 'subgroup_fusion': None, 'weyl_group': '165888.s'}
  • id: 66829064
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2423, -1, 2447, -1], 'generators': [1510611802571662, 5631107236094023, 357001369769646, 40284840, 363000, 1313941673526, 362886, 357001369769527, 6227020806], 'label': '46448640.a.3024.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '3024.bi1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BI', 'subgroup_fusion': None, 'weyl_group': '7680.cm'}
  • id: 66829065
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [709, -1, 2149, -1], 'generators': [753293811122328, 87465727, 357001369769646, 1313941673526, 357001369769527, 6384246936088750, 126, 40279680, 5160, 6227020806], 'label': '46448640.a.3024.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '3024.bj1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BJ', 'subgroup_fusion': None, 'weyl_group': '15360.cu'}
  • id: 66829066
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1493, -1, 2285, -1], 'generators': [6385635259713353, 3015738683613654, 357001369769646, 363000, 1313941673526, 40279680, 357001369769527, 5160, 6227020806], 'label': '46448640.a.3024.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '3024.bk1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BK', 'subgroup_fusion': None, 'weyl_group': '115680.s'}
  • id: 66829067
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2385, -1, 2441, -1], 'generators': [5631107276373703, 1510611842851342, 357001369769646, 40284840, 363000, 1313941673526, 362886, 357001369769527, 6227020806], 'label': '46448640.a.3024.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '3024.bl1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BL', 'subgroup_fusion': None, 'weyl_group': '7680.cm'}
  • id: 66829068
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1607, -1, 2305, -1], 'generators': [357001369769646, 6227020806, 6385629072609353, 357001369769527, 362886, 40279680, 1313941673526, 3015738683613654, 363000], 'label': '46448640.a.3024.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '3024.bm1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BM', 'subgroup_fusion': None, 'weyl_group': '7680.u'}
  • id: 66829069
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2029, -1, 2379, -1], 'generators': [753293811122328, 127382521, 357001369769646, 1313941673526, 357001369769527, 6384246936088750, 126, 40279680, 5160, 6227020806], 'label': '46448640.a.3024.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '3024.bn1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BN', 'subgroup_fusion': None, 'weyl_group': '15360.cu'}
  • id: 66829070
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1645, -1, 2312, -1], 'generators': [357001369769646, 6227020806, 3015738683608734, 6385629072251513, 357001369769527, 362886, 40279680, 1313941673526, 363000], 'label': '46448640.a.3024.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '3024.bo1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BO', 'subgroup_fusion': None, 'weyl_group': '7680.u'}
  • id: 66829071
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [803, -1, 2165, -1], 'generators': [357001369769646, 5160, 6227020806, 6385629072609353, 3371432338730454, 357001369769527, 40279680, 1313941673526, 363000], 'label': '46448640.a.3024.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '3024.bp1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BP', 'subgroup_fusion': None, 'weyl_group': '115680.s'}
  • id: 66829072
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 756, 'diagramx': [2152, -1, 2400, -1], 'generators': [4097681694720, 5599312156921, 6042528670786561, 15289339979641, 363000, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.3024.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.E', 'old_label': '3024.bq1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829073
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 3024, 'diagramx': [1437, -1, 2275, -1], 'generators': [1510558369291456, 2263772139591905, 363000, 6028566869168231, 5160, 357001369769527, 362886, 40279680, 357001369769646, 357001371031368, 1313941673526, 6227020806], 'label': '46448640.a.3024.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '3024.br1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BR', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829074
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '288.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [35, -1, 231, -1], 'generators': [4891775189800446, 5160, 362886, 1307714652720, 40279680, 356995317749160, 356995142748840, 363000], 'label': '46448640.a.288.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '288.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.a1', 'subgroup_fusion': None, 'weyl_group': '322560.b'}
  • id: 66829075
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 126, 'diagramx': [2205, -1, 2409, -1], 'generators': [355687817201137, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 355687430527144, 5160, 6227020806], 'label': '46448640.a.3024.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.a1', 'old_label': '3024.bs1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BS', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829076
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 504, 'diagramx': [1197, -1, 2234, -1], 'generators': [1340989557697, 60352208777, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.3024.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.H', 'old_label': '3024.bt1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829077
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [136, -1, 2049, -1], 'generators': [1882970266850335, 127382521, 358483400726521, 357001329489966, 1313901393846, 357001329489847, 126, 5160, 6227020806], 'label': '46448640.a.3024.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '3024.bu1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BU', 'subgroup_fusion': None, 'weyl_group': '115680.s'}
  • id: 66829078
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3024.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [87, -1, 2040, -1], 'generators': [4097379697926, 127382521, 1525968897085728, 5160, 1313901393846, 357001329489847, 126, 357001329489966, 6227020806], 'label': '46448640.a.3024.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '3024.bv1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.BV', 'subgroup_fusion': None, 'weyl_group': '115680.s'}
  • id: 66829079
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3240.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2160, 'diagramx': [39, -1, 2455, -1], 'generators': [357048794160713, 2263825789718982, 363000, 5632361040136008, 5160, 357001369769527, 362886, 40279680, 357001369769646, 6029907719708584, 1313941673526, 6227020806], 'label': '46448640.a.3240.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1080.B', 'old_label': '3240.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3240.a1', 'subgroup_fusion': None, 'weyl_group': '21504.cf'}
  • id: 66829080
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [178, -1, 2488, -1], 'generators': [369649454642518, 5276646786314455, 126, 357001369406641, 357001369406760, 1313941310640, 6401203201, 6388357902809039, 40279680, 20916299964113, 368046, 6227020806], 'label': '46448640.a.3360.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '3360.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.A', 'subgroup_fusion': None, 'weyl_group': '27648.cw'}
  • id: 66829081
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [242, -1, 2499, -1], 'generators': [369649454642518, 5276646786314455, 6387044041704832, 126, 357001369406641, 357001369406760, 1313941310640, 6401203201, 40279680, 20916299964113, 368046, 6227020806], 'label': '46448640.a.3360.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '3360.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.B', 'subgroup_fusion': None, 'weyl_group': '27648.cw'}
  • id: 66829082
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [113, -1, 2476, -1], 'generators': [126, 754528110336408, 357001369406641, 1381049889966, 357001369406760, 4893136686184008, 1313941310640, 6401203201, 40279680, 772761873151024, 368046, 6227020806], 'label': '46448640.a.3360.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '3360.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.C', 'subgroup_fusion': None, 'weyl_group': '27648.cw'}
  • id: 66829083
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [47, -1, 2465, -1], 'generators': [126, 754528110336408, 357001369406641, 1381049889966, 357001369406760, 1313941310640, 6401203201, 40279680, 4536141623994535, 772761873151024, 368046, 6227020806], 'label': '46448640.a.3360.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '3360.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.D', 'subgroup_fusion': None, 'weyl_group': '27648.cw'}
  • id: 66829084
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [501, -1, 2544, -1], 'generators': [369649454642518, 5276646786314455, 357001369406641, 363000, 357001369406760, 5160, 356995316931247, 40279680, 19547879114465, 1313941673526, 20916299964113, 6227020806], 'label': '46448640.a.3360.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.G', 'old_label': '3360.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.E', 'subgroup_fusion': None, 'weyl_group': '6912.jj'}
  • id: 66829085
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '315.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 315, 'diagramx': [50, -1, 240, -1], 'generators': [355694004686017, 1864918047254401, 363000, 357001329887574, 5160, 357001369769527, 362886, 40279680, 3372686319720247, 357001369769646, 355687864756432, 3770226426315592, 1307716277182, 1313941673526, 4522152732629040, 6227020806], 'label': '46448640.a.315.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '315.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '315.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829086
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [438, -1, 2533, -1], 'generators': [369649454642518, 5276646786314455, 357001369406641, 363000, 357001369406760, 375229040630830, 5160, 356995316931247, 376609914806398, 40279680, 1313941673526, 6227020806], 'label': '46448640.a.3360.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '3360.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.F', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829087
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [375, -1, 2522, -1], 'generators': [369649454642518, 5276646786314455, 357001369406641, 363000, 357001369406760, 375229040630830, 5160, 356995316931247, 40279680, 20916299964113, 1313941673526, 6227020806], 'label': '46448640.a.3360.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '3360.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.G', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829088
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [839, -1, 2603, -1], 'generators': [369649454642518, 5276646786314455, 126, 357001369406641, 357001369406760, 1313941310640, 6401203201, 6388357902809039, 376609914806398, 40279680, 368046, 6227020806], 'label': '46448640.a.3360.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.E', 'old_label': '3360.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.H', 'subgroup_fusion': None, 'weyl_group': '13824.cm'}
  • id: 66829089
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [898, -1, 2613, -1], 'generators': [40284840, 6401208247, 126, 20916299969273, 15275968220033, 6387044041342072, 357001369769527, 357001369769646, 5632334214773335, 19547879114465, 1313941673526, 6227020806], 'label': '46448640.a.3360.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '3360.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.I', 'subgroup_fusion': None, 'weyl_group': '6912.ex'}
  • id: 66829090
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 840, 'diagramx': [1003, -1, 2632, -1], 'generators': [5276646786314455, 363000, 15275968220033, 5160, 6401203201, 357001369769527, 362886, 40279680, 357001369769646, 19547879114465, 1313941673526, 6227020806], 'label': '46448640.a.3360.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '3360.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.J', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829091
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1680, 'diagramx': [574, -1, 2557, -1], 'generators': [5276646786314455, 6387044041704832, 363000, 15275968220033, 5160, 6401203201, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.3360.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.E', 'old_label': '3360.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.K', 'subgroup_fusion': None, 'weyl_group': '13824.cm'}
  • id: 66829092
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 6720, 'diagramx': [952, -1, 2622, -1], 'generators': [2277740527735969, 363000, 758860070181247, 5160, 357001369769527, 362886, 2268090562757737, 40279680, 4533325265969278, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.3360.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.L', 'old_label': '3360.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.L', 'subgroup_fusion': None, 'weyl_group': '13824.s'}
  • id: 66829093
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 3360, 'diagramx': [309, -1, 2511, -1], 'generators': [3028165244697017, 765773759883305, 363000, 5160, 357001369769527, 362886, 40279680, 357001369769646, 86742455465, 4887490253615993, 1313941673526, 6227020806], 'label': '46448640.a.3360.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.M', 'old_label': '3360.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.M', 'subgroup_fusion': None, 'weyl_group': '13824.u'}
  • id: 66829094
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [787, -1, 2594, -1], 'generators': [367920, 5276646786314455, 356995277014446, 357001369406641, 1313941668606, 6032670474713033, 357001369406760, 40279680, 370957129010638, 19547879114465, 20916299964113, 6227020806], 'label': '46448640.a.3360.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.C', 'old_label': '3360.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.N', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829095
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [739, -1, 2585, -1], 'generators': [367920, 5276646786314455, 356995277014446, 357001369406641, 1313941668606, 6032670474713033, 357001369406760, 376536754915630, 40279680, 370957129010638, 20916299964113, 6227020806], 'label': '46448640.a.3360.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.C', 'old_label': '3360.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.O', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829096
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '336.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [117, -1, 264, -1], 'generators': [1125719425134841, 2263825788912289, 1313904614830, 357001369769646, 1313941673526, 368046, 357001369406641, 126, 39916806, 6227020806], 'label': '46448640.a.336.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '336.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829097
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [690, -1, 2577, -1], 'generators': [367920, 5276646786314455, 356995277014446, 375302240433358, 357001369406641, 1313941668606, 6032670474713033, 19547839197785, 357001369406760, 40279680, 370957129010638, 6227020806], 'label': '46448640.a.3360.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.A', 'old_label': '3360.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.P', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829098
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3360.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [642, -1, 2568, -1], 'generators': [367920, 5276646786314455, 356995277014446, 376536714998710, 375302240433358, 357001369406641, 1313941668606, 6032670474713033, 357001369406760, 40279680, 370957129010638, 6227020806], 'label': '46448640.a.3360.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.A', 'old_label': '3360.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3360.Q', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829099
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [1282, -1, 2857, -1], 'generators': [1307714289846, 356995142748840, 3024067864976632, 2632113834370969, 126, 39916806, 9690465617998, 6034159518508793, 1110215888789737, 4132975642750783, 3381062753340743, 356995142748721, 368046], 'label': '46448640.a.3780.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.F', 'old_label': '3780.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829100
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [1500, -1, 2895, -1], 'generators': [1307714289846, 356995142748840, 3024067864976632, 2632113834370969, 6034159518145919, 126, 39916806, 9690465617998, 1110215888789737, 4132975642750783, 3381062753340743, 356995142748721, 368046], 'label': '46448640.a.3780.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.F', 'old_label': '3780.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829101
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [288, -1, 2684, -1], 'generators': [356995142748840, 1307714652720, 1108907903981513, 19541477104702, 363000, 5160, 362886, 40279680, 355693655923799, 357001506454614, 6398216187943385, 356995142748721, 6354057174], 'label': '46448640.a.3780.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '3780.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829102
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [1645, -1, 2921, -1], 'generators': [2263772102872625, 356995142748840, 1307714652720, 6398216234766304, 363000, 15269701288327, 1110221982339822, 5160, 362886, 6396734115100102, 40279680, 3775812150257303, 356995142748721], 'label': '46448640.a.3780.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '3780.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829103
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [509, -1, 2723, -1], 'generators': [2263772102872625, 356995142748840, 1307714652720, 4519342558869839, 6398216234766304, 363000, 15269701288327, 2627842099242239, 5160, 362886, 6396734115100102, 40279680, 356995142748721], 'label': '46448640.a.3780.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '3780.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829104
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': None, 'generators': [2263772102872625, 356995142748840, 1307714652720, 753220612570297, 6398216234766304, 363000, 15269701288327, 4130185636689982, 5160, 362886, 6396734115100102, 40279680, 356995142748721], 'label': '46448640.a.3780.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '3780.fB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829105
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 945, 'diagramx': None, 'generators': [356995142748840, 1307714652720, 753220612570297, 6398216234766304, 363000, 3784175346838456, 4130185636689982, 2260982611203719, 5160, 362886, 40279680, 4891775578899960, 356995142748721], 'label': '46448640.a.3780.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.B', 'old_label': '3780.fC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829106
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [139, -1, 2658, -1], 'generators': [2263772102872625, 4876331394038392, 356995142748840, 1307714652720, 6398216234766304, 363000, 15269701288327, 2627842099242239, 5160, 362886, 6396734115100102, 40279680, 356995142748721], 'label': '46448640.a.3780.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '3780.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829107
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '336.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [55, -1, 253, -1], 'generators': [357001369401600, 1313904614830, 126, 1869075261422767, 39916806, 357001369769527, 1374863224734, 1313941305720, 6227020806], 'label': '46448640.a.336.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.B', 'old_label': '336.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829108
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [62, -1, 2645, -1], 'generators': [356995142748840, 1307714652720, 1108907903981513, 19541477104702, 216518808, 363000, 356995189941528, 5160, 362886, 40279680, 355693655923799, 6398216187943385, 356995142748721], 'label': '46448640.a.3780.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '3780.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829109
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [1226, -1, 2847, -1], 'generators': [2263772102872625, 356995142748840, 1307714652720, 6398216234766304, 363000, 6029880634345672, 15269701288327, 2627842099242239, 5160, 362886, 6396734115100102, 40279680, 356995142748721], 'label': '46448640.a.3780.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '3780.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.J', 'subgroup_fusion': None, 'weyl_group': '12288.bw'}
  • id: 66829110
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [1907, -1, 2966, -1], 'generators': [356995142748840, 1307715459712, 1307714652720, 1108907903981513, 19541477104702, 363000, 5160, 362886, 40279680, 357001506454614, 6398216187943385, 356995142748721, 6354057174], 'label': '46448640.a.3780.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '3780.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829111
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [1816, -1, 2950, -1], 'generators': [356995142748840, 1307715459712, 1307714652720, 1108907903981513, 19541477104702, 216518808, 363000, 356995189941528, 5160, 362886, 40279680, 6398216187943385, 356995142748721], 'label': '46448640.a.3780.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '3780.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829112
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [796, -1, 2772, -1], 'generators': [356995142748840, 4134283277201983, 1307714652720, 3379755253155718, 363000, 1110215928701497, 3025375365161536, 8382791249992, 5160, 362886, 40279680, 762911075405496, 356995142748721], 'label': '46448640.a.3780.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '3780.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.M', 'subgroup_fusion': None, 'weyl_group': '12288.bw'}
  • id: 66829113
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [1089, -1, 2824, -1], 'generators': [6227383806, 1307715459712, 6227025966, 356995189941528, 375228865641623, 357001369769527, 362886, 6399523822026544, 40279680, 357001369769646, 357001506454614, 1313941673526, 1108914131002319], 'label': '46448640.a.3780.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '3780.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829114
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [2001, -1, 2983, -1], 'generators': [375235092662417, 367920, 357001369764607, 1307715459712, 1313941668606, 216518808, 6399530049047350, 356995189941528, 357001369764486, 754534337725438, 362886, 40279680, 6227020806], 'label': '46448640.a.3780.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '3780.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829115
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [939, -1, 2797, -1], 'generators': [356995279070934, 6227383806, 1307715459712, 6227025966, 357001416967368, 375228865641623, 357001369769527, 362886, 6399523822026544, 40279680, 357001369769646, 1313941673526, 1108914131002319], 'label': '46448640.a.3780.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '3780.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829116
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [716, -1, 2759, -1], 'generators': [375235092662417, 367920, 357001369764607, 1307715459712, 1313941668606, 6399530049047350, 357001369764486, 754534337725438, 362886, 40279680, 357001506454614, 6354057174, 6227020806], 'label': '46448640.a.3780.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '3780.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829117
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [1433, -1, 2884, -1], 'generators': [6227383806, 356995142748840, 6227383680, 6227025966, 3025381726080713, 6267300486, 753227012983662, 365384160293759, 3777294441317736, 762911075405496, 3379761305625737, 1313941673526, 356995142748721], 'label': '46448640.a.3780.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.K', 'old_label': '3780.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829118
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '360.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 240, 'diagramx': [49, -1, 274, -1], 'generators': [357001369769646, 5160, 6227020806, 1124197420562046, 3021324626056342, 357001369769527, 362886, 40279680, 1313941673526, 363000], 'label': '46448640.a.360.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '120.a1', 'old_label': '360.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.a1', 'subgroup_fusion': None, 'weyl_group': '387072.a'}
  • id: 66829119
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [1352, -1, 2869, -1], 'generators': [6227383806, 6227025966, 356995189941528, 375228865641623, 357001369769527, 362886, 6399523822026544, 40279680, 357001369769646, 1313942480518, 357001506454614, 1313941673526, 1108914131002319], 'label': '46448640.a.3780.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '3780.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829120
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [1724, -1, 2934, -1], 'generators': [375235092662417, 367920, 357001369764607, 1313941668606, 216518808, 6399530049047350, 356995189941528, 357001369764486, 754534337725438, 362886, 40279680, 355693655923799, 6227020806], 'label': '46448640.a.3780.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '3780.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829121
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [860, -1, 2784, -1], 'generators': [356995279070934, 6227383806, 6227025966, 357001416967368, 375228865641623, 357001369769527, 362886, 6399523822026544, 40279680, 357001369769646, 1313942480518, 1313941673526, 1108914131002319], 'label': '46448640.a.3780.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '3780.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829122
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [2097, -1, 2999, -1], 'generators': [375235092662417, 367920, 357001369764607, 1313941668606, 6399530049047350, 357001369764486, 754534337725438, 362886, 40279680, 355693655923799, 357001506454614, 6354057174, 6227020806], 'label': '46448640.a.3780.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '3780.u1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829123
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [364, -1, 2697, -1], 'generators': [6227383806, 356995142748840, 6227383680, 6227025966, 1117297056522103, 3025381726080713, 6267300486, 753227012983662, 365384160293759, 3777294441317736, 3379761305625737, 1313941673526, 356995142748721], 'label': '46448640.a.3780.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.K', 'old_label': '3780.v1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829124
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1890, 'diagramx': [434, -1, 2709, -1], 'generators': [375235092662417, 356995492375374, 1108907903981513, 363000, 6399530049047350, 5160, 357001543975536, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.3780.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '3780.w1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829125
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 630, 'diagramx': [635, -1, 2745, -1], 'generators': [375235092662417, 1108907903981513, 363000, 6399530049047350, 356995189941528, 5160, 357001369769527, 362886, 40279680, 357001369769646, 357001506454614, 1313941673526, 6227020806], 'label': '46448640.a.3780.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '630.E', 'old_label': '3780.x1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829126
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 630, 'diagramx': [1165, -1, 2837, -1], 'generators': [2263772102872625, 6395432708027657, 6398216234766304, 363000, 15269701288327, 2627842099242239, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.3780.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '3780.y1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.Z', 'subgroup_fusion': None, 'weyl_group': '77120.g'}
  • id: 66829127
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 7560, 'diagramx': [1014, -1, 2811, -1], 'generators': [363000, 4130185636689982, 5645002065735895, 5160, 5643513507381096, 357001369769527, 362886, 40279680, 4137072935788936, 357001369769646, 1313941673526, 4891775578899960, 6227020806], 'label': '46448640.a.3780.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BA', 'old_label': '3780.z1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.BA', 'subgroup_fusion': None, 'weyl_group': '6144.pz'}
  • id: 66829128
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 3780, 'diagramx': [575, -1, 2734, -1], 'generators': [363000, 3784175346838456, 4130185636689982, 5160, 357001369769527, 362886, 3768905425022782, 40279680, 4137072935788936, 357001369769646, 5599089982097, 1313941673526, 6227020806], 'label': '46448640.a.3780.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '3780.ba1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.BB', 'subgroup_fusion': None, 'weyl_group': '3072.sh'}
  • id: 66829129
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '18.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': '18T963', 'count': 9, 'diagramx': [37, -1, 16, -1], 'generators': [4522139235123967, 73724336945, 355687428096120, 363000, 40279680, 355687428096001, 5160, 362886, 6227020806], 'label': '46448640.a.18.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829130
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '378.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 378, 'diagramx': [49, -1, 285, -1], 'generators': [3372680225335702, 16818880361016, 363000, 5160, 357001369769527, 362886, 2795932707142, 40279680, 357001369769646, 1313941673526, 357001331109137, 6227020806], 'label': '46448640.a.378.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '378.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '378.a1', 'subgroup_fusion': None, 'weyl_group': '61440.cg'}
  • id: 66829131
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 3780, 'diagramx': [1570, -1, 2907, -1], 'generators': [4523439809928361, 363000, 5160, 357001369769527, 362886, 2619459529360687, 40279680, 355687470028217, 357001369769646, 18059446535622, 358544281915729, 1313941673526, 6227020806], 'label': '46448640.a.3780.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '3780.bb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.BC', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829132
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '3780.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1890, 'diagramx': [203, -1, 2669, -1], 'generators': [2262464774455375, 5637934182199254, 363000, 2632120019839015, 5160, 357001369769527, 362886, 40279680, 5275352526422376, 356995145997665, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.3780.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '3780.bc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3780.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829133
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [560, -1, 3103, -1], 'generators': [356995102831927, 5160, 4137078989433721, 39916920, 6227400383, 355687431338569, 1307674373040, 356995102469160], 'label': '46448640.a.4032.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '4032.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.A', 'subgroup_fusion': None, 'weyl_group': '5760.cm'}
  • id: 66829134
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [627, -1, 3114, -1], 'generators': [356995102831927, 5160, 39916920, 3780077620399927, 1307674373040, 16703, 355687431338574, 356995102469160], 'label': '46448640.a.4032.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '4032.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829135
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [228, -1, 3045, -1], 'generators': [1348038703135, 6227020806, 357001369764607, 4125954263921689, 15310066503720, 355687428101040, 1866231947042335, 5046, 361340563426553], 'label': '46448640.a.4032.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.E', 'old_label': '4032.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.C', 'subgroup_fusion': None, 'weyl_group': '11520.cq'}
  • id: 66829136
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [493, -1, 3091, -1], 'generators': [5160, 357001369413143, 357001369769527, 39916920, 3780077620399927, 1307674373040, 1313944543014, 356995102469160], 'label': '46448640.a.4032.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '4032.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.D', 'subgroup_fusion': None, 'weyl_group': '5760.cm'}
  • id: 66829137
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [427, -1, 3079, -1], 'generators': [5160, 4137078989433721, 357001369769527, 39916920, 6227400383, 1313944543009, 1307674373040, 356995102469160], 'label': '46448640.a.4032.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '4032.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.E', 'subgroup_fusion': None, 'weyl_group': '5760.cm'}
  • id: 66829138
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [53, -1, 3014, -1], 'generators': [6227020806, 1108914393093126, 357001369401600, 39916806, 357001369769527, 126, 1209184, 1313941305720, 2261028858290208], 'label': '46448640.a.4032.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.I', 'old_label': '4032.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.F', 'subgroup_fusion': None, 'weyl_group': '5760.eh'}
  • id: 66829139
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [125, -1, 3027, -1], 'generators': [355687431338448, 4533304370128576, 2619465972445015, 1313941310640, 6227020920, 357001369769527, 357001369406760, 6266937600, 5160], 'label': '46448640.a.4032.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '4032.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.G', 'subgroup_fusion': None, 'weyl_group': '1920.240996'}
  • id: 66829140
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [1001, -1, 3179, -1], 'generators': [1509236804303568, 6227020806, 355687428101040, 1313941692096, 3768965348198694, 5046, 376583178602585, 46551081168], 'label': '46448640.a.4032.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.E', 'old_label': '4032.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.H', 'subgroup_fusion': None, 'weyl_group': '11520.cq'}
  • id: 66829141
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '504.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [483, -1, 373, -1], 'generators': [356995144823329, 2262531613322302, 355687428096120, 363000, 40279680, 355687428096001, 5160, 362886, 6227020806], 'label': '46448640.a.504.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '504.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.A', 'subgroup_fusion': None, 'weyl_group': '46080.y'}
  • id: 66829142
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [953, -1, 3171, -1], 'generators': [1509236804303568, 6227020806, 28662, 355687428101040, 3768965348198694, 20895790423385, 5046, 46551081168], 'label': '46448640.a.4032.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.E', 'old_label': '4032.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.I', 'subgroup_fusion': None, 'weyl_group': '11520.cq'}
  • id: 66829143
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [894, -1, 3161, -1], 'generators': [1864924272674329, 5653174884353, 121, 3768965388478495, 1307714647800, 15316253965446, 46551076255, 40279680, 363000], 'label': '46448640.a.4032.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.N', 'old_label': '4032.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.J', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829144
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4032.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [828, -1, 3149, -1], 'generators': [2619459745424214, 4890293285846537, 1307717522208, 356995102469160, 1307674373040, 39916920, 356995142748721, 5160, 362886], 'label': '46448640.a.4032.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '4032.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.K', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829150
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4320.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 4320, 'diagramx': [42, -1, 3189, -1], 'generators': [2626594259794433, 363000, 5160, 3775865885556191, 362886, 357001369769527, 40279680, 357001369769646, 1512067223081950, 1313941673526, 6227020806], 'label': '46448640.a.4320.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4320.A', 'old_label': '4320.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4320.A', 'subgroup_fusion': None, 'weyl_group': '20000.hg'}
  • id: 66829151
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4320.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1080, 'diagramx': [103, -1, 3199, -1], 'generators': [355687428096120, 6227020806, 6384240969546376, 355687428096001, 362886, 40279680, 355760930258209, 363000], 'label': '46448640.a.4320.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1080.A', 'old_label': '4320.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4320.B', 'subgroup_fusion': None, 'weyl_group': '10752.k'}
  • id: 66829152
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '504.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [434, -1, 364, -1], 'generators': [6229831375, 2262531613322302, 355687428096120, 363000, 40279680, 362886, 355687428096001, 5160, 6227020806], 'label': '46448640.a.504.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '504.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.B', 'subgroup_fusion': None, 'weyl_group': '46080.y'}
  • id: 66829153
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4480.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4480, 'diagramx': [42, -1, 3210, -1], 'generators': [357055065573832, 3378265730017206, 2623750943374056, 771286109501214, 6401203320, 1307714289846, 40279680, 357001369406641, 6227020920, 357001369406760, 6227388840], 'label': '46448640.a.4480.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4480.a1', 'old_label': '4480.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4480.a1', 'subgroup_fusion': None, 'weyl_group': '10368.bf'}
  • id: 66829154
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4536.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2268, 'diagramx': [282, -1, 3261, -1], 'generators': [6227383806, 355694046659153, 1307714652720, 358477133793967, 5160, 368207787633966, 362886, 40279680, 357001369769646, 355693742575943, 6028573308693816, 356995142748721], 'label': '46448640.a.4536.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '4536.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4536.A', 'subgroup_fusion': None, 'weyl_group': '10240.cg'}
  • id: 66829155
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4536.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2268, 'diagramx': [124, -1, 3234, -1], 'generators': [355687779721553, 6227383806, 1307714652720, 358477133793967, 5160, 368207787633966, 362886, 40279680, 357001369769646, 355693742575943, 6028573308693816, 356995142748721], 'label': '46448640.a.4536.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '4536.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4536.B', 'subgroup_fusion': None, 'weyl_group': '10240.cg'}
  • id: 66829156
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4536.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2268, 'diagramx': [376, -1, 3278, -1], 'generators': [6227383806, 355694046659153, 1307714652720, 358477133793967, 5160, 368207787633840, 362886, 40279680, 357001369769646, 355693742575943, 6028573308693816, 356995142748721], 'label': '46448640.a.4536.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '4536.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4536.C', 'subgroup_fusion': None, 'weyl_group': '10240.cg'}
  • id: 66829157
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4536.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2268, 'diagramx': [198, -1, 3247, -1], 'generators': [355687779721553, 6227383806, 1307714652720, 358477133793967, 5160, 368207787633840, 362886, 40279680, 357001369769646, 355693742575943, 6028573308693816, 356995142748721], 'label': '46448640.a.4536.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '4536.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4536.D', 'subgroup_fusion': None, 'weyl_group': '10240.cg'}
  • id: 66829158
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4536.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2268, 'diagramx': [462, -1, 3293, -1], 'generators': [1878906943445334, 372432148306134, 363000, 5160, 365431453200294, 357001369769527, 362886, 40279680, 357001504479358, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.4536.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '4536.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4536.E', 'subgroup_fusion': None, 'weyl_group': '5120.fw'}
  • id: 66829159
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4536.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2268, 'diagramx': [540, -1, 3306, -1], 'generators': [358477133793967, 368214190824263, 363000, 5160, 357001369769527, 362886, 40279680, 357001369769646, 355693742575943, 1313941673526, 6028573308693816, 6227020806], 'label': '46448640.a.4536.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '4536.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4536.F', 'subgroup_fusion': None, 'weyl_group': '10240.cg'}
  • id: 66829160
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4536.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 756, 'diagramx': [51, -1, 3221, -1], 'generators': [358477133793967, 363000, 3015685210786265, 5160, 368207787633840, 357001369769527, 362886, 40279680, 6384260350564553, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.4536.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.E', 'old_label': '4536.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4536.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829161
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4608.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [82, -1, 3326, -1], 'generators': [357001369764607, 355687428101040, 1314163848839, 362647843874063], 'label': '46448640.a.4608.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.A', 'old_label': '4608.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4608.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829162
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4608.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [35, -1, 3317, -1], 'generators': [126, 357001416581449, 2616689502599752], 'label': '46448640.a.4608.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.A', 'old_label': '4608.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4608.B', 'subgroup_fusion': None, 'weyl_group': '10080.l'}
  • id: 66829163
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '504.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [251, -1, 332, -1], 'generators': [5160, 6227383806, 356995142748721, 356995144823329, 362886, 1307714652720, 2619526676227217, 356995142748840, 6267300486], 'label': '46448640.a.504.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '504.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.C', 'subgroup_fusion': None, 'weyl_group': '46080.y'}
  • id: 66829164
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '4608.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [133, -1, 3334, -1], 'generators': [127371168, 126, 2260995847482833], 'label': '46448640.a.4608.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.A', 'old_label': '4608.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4608.C', 'subgroup_fusion': None, 'weyl_group': '10080.l'}
  • id: 66829165
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 315, 'diagramx': [3530, -1, 3951, -1], 'generators': [40284840, 356995142748840, 363000, 1307716716103, 356995104451343, 1307714647800, 1110215713420921, 362886, 5592998033400, 2626534382537640, 43521983, 356995142748721], 'label': '46448640.a.5040.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '5040.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.A', 'subgroup_fusion': None, 'weyl_group': '77120.g'}
  • id: 66829166
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [2247, -1, 3728, -1], 'generators': [4877813249164806, 20849111556169, 356995142748840, 1307714652720, 2262470692204823, 363000, 5160, 4124593028107567, 362886, 40279680, 2262464465558400, 356995142748721], 'label': '46448640.a.5040.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '5040.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829167
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [1752, -1, 3641, -1], 'generators': [356995142748840, 1307714652720, 18059446154737, 363000, 373753188357529, 5160, 1125659595933648, 362886, 40279680, 6395426529788033, 356995142415496, 356995142748721], 'label': '46448640.a.5040.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '5040.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.C', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829168
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [4436, -1, 4109, -1], 'generators': [356995142748840, 1307714652720, 18059446154737, 6396740470725838, 363000, 373753188357529, 5160, 1125659595933648, 362886, 40279680, 356995142415496, 356995142748721], 'label': '46448640.a.5040.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '5040.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.D', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829169
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [1814, -1, 3652, -1], 'generators': [356995142748840, 1307714652720, 18059446154737, 363000, 5160, 1125659595933648, 362886, 40279680, 6395426529788033, 356995142415496, 16751819323735, 356995142748721], 'label': '46448640.a.5040.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '5040.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.E', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829170
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [4373, -1, 4098, -1], 'generators': [356995142748840, 1307714652720, 18059446154737, 6396740470725838, 363000, 5160, 1125659595933648, 362886, 40279680, 356995142415496, 16751819323735, 356995142748721], 'label': '46448640.a.5040.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '5040.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.F', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829171
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [2310, -1, 3738, -1], 'generators': [4877813249164806, 20849111556169, 356995142748840, 1307714652720, 363000, 5160, 4124593028107567, 2619459528099262, 362886, 40279680, 2262464465558400, 356995142748721], 'label': '46448640.a.5040.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '5040.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829172
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [4309, -1, 4087, -1], 'generators': [756016411006369, 2795974692175, 6703579577, 364076658501425, 39916920, 1313941310640, 3768912001215071, 357001369769527, 357062639697336, 357001369769646, 368046, 6227020806], 'label': '46448640.a.5040.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.H', 'old_label': '5040.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.H', 'subgroup_fusion': None, 'weyl_group': '4608.kq'}
  • id: 66829173
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [3639, -1, 3970, -1], 'generators': [756016411006369, 2795974692175, 6703579577, 39916920, 357068866718137, 365384332869424, 1313941310640, 357001369769527, 3768912001577945, 357001369769646, 368046, 6227020806], 'label': '46448640.a.5040.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.I', 'old_label': '5040.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.I', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829174
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '504.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [39, -1, 295, -1], 'generators': [5160, 6227383806, 6229831375, 356995142748721, 362886, 1307714652720, 2619526676227217, 356995142748840, 6267300486], 'label': '46448640.a.504.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '504.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.D', 'subgroup_fusion': None, 'weyl_group': '46080.y'}
  • id: 66829175
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [3479, -1, 3942, -1], 'generators': [6227383806, 358537136440447, 6227025966, 369656070767303, 5632341360324168, 1313901393846, 1314338469545, 356995102469160, 357001369769527, 362886, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.J', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829176
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [257, -1, 3381, -1], 'generators': [6227383806, 15276317397262, 358537136440447, 6227025966, 5632341360324168, 1313901393846, 356995102469160, 357001369769527, 362886, 355694092565344, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.K', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829177
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1329, -1, 3568, -1], 'generators': [6227383806, 15270090376456, 358537136440447, 6227025966, 5632341360324168, 1313901393846, 1314338469545, 356995102469160, 357001369769527, 362886, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.L', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829178
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [4102, -1, 4051, -1], 'generators': [6227383806, 15276317397262, 358537136440447, 6227025966, 5632341360324168, 1313901393846, 356995102469160, 357001369769527, 362886, 1308111448751, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.M', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829179
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [3009, -1, 3860, -1], 'generators': [6227383806, 358537136440447, 6227025966, 369656070767303, 5632341360324168, 1313901393846, 356995102469160, 357001369769527, 362886, 1308111448751, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.N', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829180
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1268, -1, 3557, -1], 'generators': [6227383806, 15270090376456, 358537136440447, 6227025966, 5632341360324168, 1313901393846, 356995102469160, 357001369769527, 362886, 355694092565344, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.O', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829181
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [92, -1, 3352, -1], 'generators': [6227383806, 358537136440447, 6227025966, 369649843746497, 5632341360324168, 1313901393846, 356995102469160, 357001369769527, 362886, 1308111448751, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.P', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829182
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1870, -1, 3662, -1], 'generators': [6227383806, 358537136440447, 6227025966, 369649843746497, 5632341360324168, 1313901393846, 1314338469545, 356995102469160, 357001369769527, 362886, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.Q', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829183
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [3580, -1, 3960, -1], 'generators': [6227383806, 358537136440447, 6227025966, 369649843746497, 5632341360324168, 1313901393846, 356995102469160, 357001369769527, 362886, 355694092565344, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.R', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829184
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [630, -1, 3446, -1], 'generators': [355687865544550, 6227383806, 15270090376456, 358537136440447, 6227025966, 5632341360324168, 1313901393846, 356995102469160, 357001369769527, 362886, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.S', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829185
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '504.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [96, -1, 305, -1], 'generators': [6227383680, 6398216187113657, 1307714652720, 6227025966, 363000, 6267300486, 13988938089727, 364070084733361, 5640724103236255, 357001369769646, 2789746859521, 356995142748721], 'label': '46448640.a.504.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.a1', 'old_label': '504.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829186
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [3880, -1, 4012, -1], 'generators': [355687865544550, 6227383806, 15276317397262, 358537136440447, 6227025966, 5632341360324168, 1313901393846, 356995102469160, 357001369769527, 362886, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.T', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829187
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1926, -1, 3672, -1], 'generators': [355687865544550, 6227383806, 358537136440447, 6227025966, 369656070767303, 5632341360324168, 1313901393846, 356995102469160, 357001369769527, 362886, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.u1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.U', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829188
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1546, -1, 3605, -1], 'generators': [6227383806, 15276317397262, 358537136440447, 6227025966, 5632341360324168, 1313901393846, 1314338469545, 356995102469160, 357001369769527, 362886, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.v1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.V', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829189
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [4710, -1, 4157, -1], 'generators': [6227383806, 15270090376456, 358537136440447, 6227025966, 5632341360324168, 1313901393846, 356995102469160, 357001369769527, 362886, 1308111448751, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.w1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.W', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829190
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [2955, -1, 3851, -1], 'generators': [6227383806, 358537136440447, 6227025966, 369656070767303, 5632341360324168, 1313901393846, 356995102469160, 357001369769527, 362886, 355694092565344, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.x1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.X', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829191
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [2659, -1, 3799, -1], 'generators': [355687865544550, 6227383806, 358537136440447, 6227025966, 369649843746497, 5632341360324168, 1313901393846, 356995102469160, 357001369769527, 362886, 4125906756115495, 3770219285688246], 'label': '46448640.a.5040.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.y1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.Y', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829192
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [142, -1, 3361, -1], 'generators': [367920, 1121420999462694, 40284840, 1866225720021534, 5285069858897263, 1313941668606, 8388882420055, 6703579463, 357001369769527, 362886, 357001369769646, 6227020806], 'label': '46448640.a.5040.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '5040.z1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829193
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [2724, -1, 3811, -1], 'generators': [367920, 1121420999462694, 40284840, 1866225720021534, 1313941668606, 8388882420055, 6703579463, 357001369769527, 362886, 357001369769646, 5285063631876343, 6227020806], 'label': '46448640.a.5040.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '5040.ba1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829194
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [2799, -1, 3824, -1], 'generators': [6227383806, 15276317397262, 356995142748840, 6227025966, 2843441774647, 357001369769527, 362886, 3768911613739849, 40279680, 1313941673526, 5631033726230694, 3770219285688246], 'label': '46448640.a.5040.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.bb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BB', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829195
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1692, -1, 3631, -1], 'generators': [367920, 40284840, 1313941668606, 8436390658248, 373779972893214, 5287812838968528, 6703579463, 357001369769527, 362886, 4134283102656121, 357001369769646, 6227020806], 'label': '46448640.a.5040.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '5040.bc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829196
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '504.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [202, -1, 324, -1], 'generators': [357001369769646, 5160, 6227383806, 2262531573405496, 357001369769527, 2447695, 362886, 1313941673526, 6267300486], 'label': '46448640.a.504.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '504.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.F', 'subgroup_fusion': None, 'weyl_group': '46080.y'}
  • id: 66829197
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [3286, -1, 3909, -1], 'generators': [6227383806, 356995142748840, 6227025966, 1314338469545, 2843441774647, 357001369769527, 362886, 3768911613739849, 40279680, 1313941673526, 5631033726230694, 3770219285688246], 'label': '46448640.a.5040.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.bd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BD', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829198
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [4234, -1, 4074, -1], 'generators': [367920, 40284840, 756016411006369, 4124599429673830, 1313941668606, 357068866718137, 365384332869424, 6703579463, 357001369769527, 362886, 357001369769646, 6227020806], 'label': '46448640.a.5040.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '5040.be1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829199
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [2053, -1, 3694, -1], 'generators': [6227383680, 363000, 4877819476185600, 5160, 4124593028107567, 2262464465184022, 40279680, 357001369769646, 2262464465558400, 1313941673526, 376542806947494, 356995142748721], 'label': '46448640.a.5040.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.bf1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BF', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829200
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [2883, -1, 3838, -1], 'generators': [6227383806, 356995142748840, 6227025966, 369649843746497, 2843441774647, 357001369769527, 362886, 3768911613739849, 40279680, 1313941673526, 5631033726230694, 3770219285688246], 'label': '46448640.a.5040.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.bg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BG', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829201
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1621, -1, 3619, -1], 'generators': [367920, 40284840, 1313941668606, 8436390658248, 5287812838968528, 6703579463, 357001369769527, 362886, 373779972898134, 4134283102656121, 357001369769646, 6227020806], 'label': '46448640.a.5040.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '5040.bh1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829202
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1400, -1, 3580, -1], 'generators': [355687865544550, 6227383806, 356995142748840, 6227025966, 2843441774647, 357001369769527, 362886, 3768911613739849, 40279680, 1313941673526, 5631033726230694, 3770219285688246], 'label': '46448640.a.5040.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.bi1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BI', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829203
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [4500, -1, 4120, -1], 'generators': [6227383806, 356995142748840, 6227383680, 372445387344582, 1307714652720, 6396740470725838, 6227418263, 5160, 1125659595933648, 40279680, 16751819323735, 356995142748721], 'label': '46448640.a.5040.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '5040.bj1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BJ', 'subgroup_fusion': None, 'weyl_group': '4608.fk'}
  • id: 66829204
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [907, -1, 3494, -1], 'generators': [6227383806, 356995142748840, 6227383680, 372445387344582, 1307714652720, 6227418263, 5160, 1125659595933648, 40279680, 6395426529788033, 16751819323735, 356995142748721], 'label': '46448640.a.5040.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '5040.bk1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BK', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829205
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [3204, -1, 3894, -1], 'generators': [367920, 40284840, 756016411006369, 3768912001577950, 1313941668606, 365384332874584, 357068866723057, 6703579463, 357001369769527, 362886, 357001369769646, 6227020806], 'label': '46448640.a.5040.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '5040.bl1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829206
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [4562, -1, 4131, -1], 'generators': [6227383806, 356995142748840, 6227383680, 372445387344582, 1307714652720, 6396740470725838, 373753188357529, 6227418263, 5160, 1125659595933648, 40279680, 356995142748721], 'label': '46448640.a.5040.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '5040.bm1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BM', 'subgroup_fusion': None, 'weyl_group': '3456.cd'}
  • id: 66829207
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '504.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [154, -1, 315, -1], 'generators': [357001369769646, 5160, 6227383806, 6229831375, 2262531573405496, 357001369769527, 362886, 1313941673526, 6267300486], 'label': '46448640.a.504.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '504.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.G', 'subgroup_fusion': None, 'weyl_group': '46080.y'}
  • id: 66829208
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [843, -1, 3483, -1], 'generators': [6227383806, 356995142748840, 6227383680, 372445387344582, 1307714652720, 373753188357529, 6227418263, 5160, 1125659595933648, 40279680, 6395426529788033, 356995142748721], 'label': '46448640.a.5040.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '5040.bn1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BN', 'subgroup_fusion': None, 'weyl_group': '4608.fk'}
  • id: 66829209
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1989, -1, 3683, -1], 'generators': [6227383680, 2262470692204823, 363000, 4877819476185600, 5160, 4124593028107567, 40279680, 357001369769646, 2262464465558400, 1313941673526, 376542806947494, 356995142748721], 'label': '46448640.a.5040.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.bo1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BO', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829210
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [316, -1, 3391, -1], 'generators': [359844810808441, 13968603112462, 6227383806, 1314378386225, 6227025966, 1313901393846, 5631033726230815, 4125900529457575, 356995102469160, 362886, 3770219285688246, 356995142748721], 'label': '46448640.a.5040.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '5040.bp1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BP', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829211
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [501, -1, 3423, -1], 'generators': [359844810808441, 6227383806, 1314378386225, 6227025966, 369649843746497, 1313901393846, 5631033726230815, 4125900529457575, 356995102469160, 362886, 3770219285688246, 356995142748721], 'label': '46448640.a.5040.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '5040.bq1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BQ', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829212
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [3356, -1, 3921, -1], 'generators': [357001369764607, 6266937600, 357001369401600, 2270846954073600, 6227025840, 355687470000017, 1307716716103, 1313941310640, 754534552630447, 43521983, 5599264971007, 356995280240345], 'label': '46448640.a.5040.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BR', 'old_label': '5040.br1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829213
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [2502, -1, 3772, -1], 'generators': [357001369764607, 6266937600, 357001369401600, 2270846954073600, 357001372195782, 6227025840, 357001507261151, 357001331477176, 1313941310640, 754534552630447, 43521983, 5599264971007], 'label': '46448640.a.5040.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BS', 'old_label': '5040.bs1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829214
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [4636, -1, 4144, -1], 'generators': [6227383806, 1307714652720, 4124592852670200, 6227025966, 369656070767303, 6267300486, 4151116142641, 5632341360324168, 357001369769527, 362886, 357001369769646, 4125906756115495], 'label': '46448640.a.5040.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.bt1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BT', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829215
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [3953, -1, 4025, -1], 'generators': [6227383806, 1307714652720, 4124592852670200, 6227025966, 6267300486, 4151116142641, 5632341360324168, 357001369769527, 362886, 1308111448751, 357001369769646, 4125906756115495], 'label': '46448640.a.5040.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.bu1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BU', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829216
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [2440, -1, 3761, -1], 'generators': [6227383806, 20849111556169, 356995142748840, 1307714652720, 6267300486, 5160, 4523439762742440, 4124593028107567, 2619465754768686, 357001369769527, 2619459528099262, 362886], 'label': '46448640.a.5040.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '5040.bv1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829217
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1032, -1, 3516, -1], 'generators': [2618151893291520, 4877813289444486, 357001329489847, 2262470692204823, 39916920, 5160, 4124593028107567, 362886, 357001369769646, 1313941673526, 376542806947494, 6227020806], 'label': '46448640.a.5040.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.bw1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BW', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829218
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '504.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 504, 'diagramx': [299, -1, 341, -1], 'generators': [1307762633640, 363000, 5160, 357001369769527, 362886, 40279680, 4537388337782262, 357001369769646, 5649153055655737, 1313941673526, 6227020806], 'label': '46448640.a.504.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.H', 'old_label': '504.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829219
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [769, -1, 3470, -1], 'generators': [6227383806, 1307714652720, 4124592852670200, 6227025966, 369649843746497, 6267300486, 4151116142641, 5632341360324168, 357001369769527, 362886, 357001369769646, 4125906756115495], 'label': '46448640.a.5040.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.bx1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BX', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829220
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [4031, -1, 4038, -1], 'generators': [6227383806, 1307714652720, 4124592852670200, 6227025966, 6267300486, 4151116142641, 5632341360324168, 1314338469545, 357001369769527, 362886, 357001369769646, 4125906756115495], 'label': '46448640.a.5040.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.by1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BY', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829221
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [2374, -1, 3750, -1], 'generators': [6227383806, 20849111556169, 356995142748840, 1307714652720, 2262470692204823, 6267300486, 5160, 4523439762742440, 4124593028107567, 2619465754768686, 357001369769527, 362886], 'label': '46448640.a.5040.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '5040.bz1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829222
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [564, -1, 3434, -1], 'generators': [2618151893291520, 4877813289444486, 357001329489847, 39916920, 2618158120663703, 5160, 4124593028107567, 362886, 357001369769646, 1313941673526, 376542806947494, 6227020806], 'label': '46448640.a.5040.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.ca1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CA', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829223
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [1109, -1, 3529, -1], 'generators': [367920, 357001329484806, 357001369764607, 2795974692175, 4125900876653105, 1313901393846, 1113005246174934, 67497684462, 6703579463, 362886, 365384292952744, 6227020806], 'label': '46448640.a.5040.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CB', 'old_label': '5040.cb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829224
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [1477, -1, 3593, -1], 'generators': [367920, 357001369764607, 3768905387081808, 1313941668606, 369649843746497, 3770219285688367, 5276660159248968, 1314338469545, 2843441774647, 362886, 40279680, 357001369769646], 'label': '46448640.a.5040.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '5040.cc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CC', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829225
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [2581, -1, 3786, -1], 'generators': [359844810808441, 15276317397262, 357001329489966, 363000, 1313901393846, 5276660159248968, 4125900529457575, 5160, 357001369769527, 362886, 3770219285688246, 6227020806], 'label': '46448640.a.5040.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.cd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CD', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829226
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [3126, -1, 3881, -1], 'generators': [359844810808441, 357001329489966, 363000, 1313901393846, 5276660159248968, 1314338469545, 4125900529457575, 5160, 357001369769527, 362886, 3770219285688246, 6227020806], 'label': '46448640.a.5040.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.ce1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CE', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829227
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [2118, -1, 3705, -1], 'generators': [4877813249164806, 6227383806, 6227383680, 2262470692204823, 6267300486, 2262470692579206, 5160, 4124593028107567, 357001369769527, 357001369769646, 1313941673526, 376542806947494], 'label': '46448640.a.5040.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.cf1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CF', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829228
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1198, -1, 3545, -1], 'generators': [359844810808441, 369649843746497, 357001329489966, 363000, 1313901393846, 5276660159248968, 4125900529457575, 5160, 357001369769527, 362886, 3770219285688246, 6227020806], 'label': '46448640.a.5040.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.cg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CG', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829229
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '504.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 504, 'diagramx': [347, -1, 349, -1], 'generators': [363000, 356995277464327, 6229831375, 5631067037819945, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.504.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '504.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.I', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829230
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [197, -1, 3370, -1], 'generators': [6396740430808918, 6227055377, 126, 5160, 1125659595933648, 357001369769527, 16751772149617, 40279680, 357001369769646, 1313941673526, 16751819323735, 6227020806], 'label': '46448640.a.5040.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '5040.ch1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CH', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829231
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [3759, -1, 3991, -1], 'generators': [6227055377, 126, 6396740470725838, 5160, 1125659595933648, 357001369769527, 16751772149617, 40279680, 357001369769646, 1313941673526, 16751819323735, 6227020806], 'label': '46448640.a.5040.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '5040.ci1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CI', 'subgroup_fusion': None, 'weyl_group': '4608.fk'}
  • id: 66829232
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [696, -1, 3457, -1], 'generators': [359844810808441, 355687865544550, 357001329489966, 363000, 1313901393846, 5276660159248968, 4125900529457575, 5160, 357001369769527, 362886, 3770219285688246, 6227020806], 'label': '46448640.a.5040.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.cj1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CJ', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829233
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [40, -1, 3343, -1], 'generators': [18059533608535, 6396740430808918, 6227055377, 126, 5160, 1125659595933648, 357001369769527, 16751772149617, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.5040.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '5040.ck1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CK', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829234
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [3698, -1, 3981, -1], 'generators': [18059533608535, 6227055377, 126, 6396740470725838, 5160, 1125659595933648, 357001369769527, 16751772149617, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.5040.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '5040.cl1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CL', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829235
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [2183, -1, 3716, -1], 'generators': [4877813249164806, 6227383806, 6227383680, 6267300486, 2262470692579206, 5160, 4124593028107567, 2262464465184022, 357001369769527, 357001369769646, 1313941673526, 376542806947494], 'label': '46448640.a.5040.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.cm1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CM', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829236
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 5040, 'diagramx': [3419, -1, 3932, -1], 'generators': [363000, 1523225741547175, 5160, 6703579463, 357001369769527, 362886, 40279680, 357001369769646, 753267378085073, 5285063631876343, 1313941673526, 6227020806], 'label': '46448640.a.5040.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CN', 'old_label': '5040.cn1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CN', 'subgroup_fusion': None, 'weyl_group': '4608.hg'}
  • id: 66829237
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1260, 'diagramx': [4840, -1, 4179, -1], 'generators': [5276687069623249, 368200561886640, 363000, 5160, 6703579463, 357001369769527, 362886, 40279680, 357001369769646, 1880234296779295, 1313941673526, 6227020806], 'label': '46448640.a.5040.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '5040.co1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829238
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1260, 'diagramx': [969, -1, 3505, -1], 'generators': [4877813249164806, 363000, 5160, 4124593028107567, 357001369769527, 362886, 40279680, 357001369769646, 2262464465558400, 1313941673526, 376542806947494, 6227020806], 'label': '46448640.a.5040.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '5040.cp1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CP', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829239
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2520, 'diagramx': [3818, -1, 4001, -1], 'generators': [18059446154737, 6396740470725838, 363000, 6227418263, 5160, 1125659595933648, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.5040.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '5040.cq1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CQ', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829240
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '36.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 36, 'diagramx': [43, -1, 24, -1], 'generators': [4884700333391992, 6489491880, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.36.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '36.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.a1', 'subgroup_fusion': None, 'weyl_group': '645120.a'}
  • id: 66829241
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '504.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 84, 'diagramx': [391, -1, 357, -1], 'generators': [355747517429903, 1388496637745, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.504.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '504.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829242
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 840, 'diagramx': [3061, -1, 3869, -1], 'generators': [576, 363000, 5275346606605583, 5160, 357001369769527, 362886, 40279680, 357001369769646, 4124592726468480, 1313941673526, 4124599080139849, 6227020806], 'label': '46448640.a.5040.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '5040.cr1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CR', 'subgroup_fusion': None, 'weyl_group': '6912.ex'}
  • id: 66829243
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2520, 'diagramx': [4775, -1, 4168, -1], 'generators': [18059446154737, 363000, 6227418263, 5160, 1125659595933648, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 16751819323735, 6227020806], 'label': '46448640.a.5040.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '5040.cs1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829244
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2520, 'diagramx': [4163, -1, 4061, -1], 'generators': [3022605435628217, 5290669471052143, 363000, 5160, 9736967543057, 357001369769527, 362886, 40279680, 2790056505168, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.5040.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BD', 'old_label': '5040.ct1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CT', 'subgroup_fusion': None, 'weyl_group': '18432.s'}
  • id: 66829245
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [378, -1, 3402, -1], 'generators': [355687865544550, 369649843746497, 357001329489966, 363000, 1313901393846, 2849668795446, 3768911613739728, 5276660159248968, 5160, 362886, 3770219285688246, 6227020806], 'label': '46448640.a.5040.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '5040.cu1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CU', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829246
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5040.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [440, -1, 3413, -1], 'generators': [13968603112462, 355687865544550, 357001329489966, 363000, 1313901393846, 2849668795446, 3768911613739728, 5276660159248968, 5160, 362886, 3770219285688246, 6227020806], 'label': '46448640.a.5040.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '5040.cv1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040.CV', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829247
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5376.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2688, 'diagramx': [48, -1, 4191, -1], 'generators': [357001369769646, 425, 357001369769527, 126, 765727207660800, 2618184945201840], 'label': '46448640.a.5376.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2688.a1', 'old_label': '5376.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5376.A', 'subgroup_fusion': None, 'weyl_group': '2592.iy'}
  • id: 66829248
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5376.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2688, 'diagramx': [104, -1, 4201, -1], 'generators': [1513354820947207, 121, 425, 126, 357041693801815], 'label': '46448640.a.5376.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2688.a1', 'old_label': '5376.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5376.B', 'subgroup_fusion': None, 'weyl_group': '2592.iy'}
  • id: 66829249
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5376.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2688, 'diagramx': [146, -1, 4208, -1], 'generators': [1513354820947207, 121, 40324032414, 425, 126], 'label': '46448640.a.5376.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2688.a1', 'old_label': '5376.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5376.C', 'subgroup_fusion': None, 'weyl_group': '2592.iy'}
  • id: 66829250
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5670.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [302, -1, 4262, -1], 'generators': [2623744676431296, 356995142748840, 1307714652720, 6382778578824529, 363000, 5647785593172337, 753226925886863, 5636632776767569, 5160, 362886, 40279680, 4883406073493887, 356995142748721], 'label': '46448640.a.5670.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '5670.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5670.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829251
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5670.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2835, 'diagramx': [106, -1, 4228, -1], 'generators': [356995142748840, 1307714652720, 6382778578824529, 363000, 5647785593172337, 753226925886863, 5636632776767569, 5160, 362886, 40279680, 4883406073493887, 2269371189283063, 356995142748721], 'label': '46448640.a.5670.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '5670.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5670.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829252
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '560.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 280, 'diagramx': [51, -1, 383, -1], 'generators': [363000, 375235091498465, 5160, 357001369769527, 362886, 2262457240606080, 40279680, 6230649473, 357001369769646, 4520690515388176, 1313941673526, 2263778327047374, 355693655496654, 6227020806], 'label': '46448640.a.560.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '280.a1', 'old_label': '560.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '560.a1', 'subgroup_fusion': None, 'weyl_group': '165888.s'}
  • id: 66829253
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5670.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': None, 'generators': [2623744676431296, 356995142748840, 1307714652720, 6382778578824529, 5282246755739214, 363000, 5647785593172337, 753226925886863, 5160, 362886, 40279680, 4883406073493887, 356995142748721], 'label': '46448640.a.5670.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '5670.cB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5670.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829254
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5670.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2835, 'diagramx': None, 'generators': [2623744676431296, 356995142748840, 1307714652720, 6381464716984734, 363000, 5647785593172337, 1110215841614662, 5636632776767569, 5160, 362886, 40279680, 4883406073493887, 356995142748721], 'label': '46448640.a.5670.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '5670.cC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5670.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829255
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5670.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2835, 'diagramx': [44, -1, 4217, -1], 'generators': [356995142748840, 1307714652720, 6382778578824529, 5282246755739214, 363000, 5647785593172337, 753226925886863, 5160, 362886, 40279680, 4883406073493887, 2269371189283063, 356995142748721], 'label': '46448640.a.5670.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '5670.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5670.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829256
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5670.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2835, 'diagramx': [372, -1, 4275, -1], 'generators': [2623744676431296, 356995142748840, 1307714652720, 5282246755739214, 6381464716984734, 363000, 5647785593172337, 1110215841614662, 5160, 362886, 40279680, 4883406073493887, 356995142748721], 'label': '46448640.a.5670.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '5670.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5670.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829257
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5670.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 5670, 'diagramx': [233, -1, 4250, -1], 'generators': [5632341401058775, 363000, 5647785593172337, 5160, 357001369769527, 362886, 40279680, 4883406073493887, 357001369769646, 2269371189283063, 1313941673526, 6399523647417463, 6227020806], 'label': '46448640.a.5670.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '5670.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5670.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829258
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5670.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2835, 'diagramx': [436, -1, 4286, -1], 'generators': [4534605727984079, 5632341401058775, 363000, 5647785593172337, 5160, 357001369769527, 362886, 40279680, 4883406073493887, 357001369769646, 1313941673526, 6399523647417463, 6227020806], 'label': '46448640.a.5670.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '5670.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5670.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829259
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5670.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 945, 'diagramx': None, 'generators': [6381464716984734, 363000, 5647785593172337, 1110215841614662, 5160, 357001369769527, 362886, 40279680, 4883406073493887, 357001369769646, 2269371189283063, 1313941673526, 6227020806], 'label': '46448640.a.5670.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.B', 'old_label': '5670.hB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5670.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829260
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5670.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1890, 'diagramx': None, 'generators': [5282246755739214, 6381464716984734, 363000, 5647785593172337, 1110215841614662, 5160, 357001369769527, 362886, 40279680, 4883406073493887, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.5670.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '5670.hC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5670.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829261
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '5670.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2835, 'diagramx': [170, -1, 4239, -1], 'generators': [4534605727984079, 5282246755739214, 5632341401058775, 363000, 5647785593172337, 5160, 357001369769527, 362886, 40279680, 4883406073493887, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.5670.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '5670.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5670.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829262
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [410, -1, 4360, -1], 'generators': [6227020806, 367920, 5041, 12513260793743, 1313941668606, 362886, 9683280633168, 40284840], 'label': '46448640.a.6048.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '6048.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829263
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '630.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [115, -1, 407, -1], 'generators': [356995452014944, 3378279053347199, 356995142748840, 355687867169158, 1307714652720, 4888985610314287, 363000, 355693695050183, 391893817, 369649454630406, 5160, 362886, 40279680, 753220436347440, 356995142748721], 'label': '46448640.a.630.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '630.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829264
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3324, -1, 4868, -1], 'generators': [357001329852721, 5160, 6227020806, 8415793578103, 126, 1313901756720, 357001329852840, 364143457814704], 'label': '46448640.a.6048.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '6048.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829265
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3286, -1, 4861, -1], 'generators': [9763663812191, 365404628736576, 357001329852721, 357001329852840, 1313901756720, 126, 5160, 6227020806], 'label': '46448640.a.6048.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '6048.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829266
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1542, -1, 4557, -1], 'generators': [6227020806, 12513220876937, 367920, 5041, 9683320544928, 1313941668606, 362886, 40284840], 'label': '46448640.a.6048.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '6048.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.D', 'subgroup_fusion': None, 'weyl_group': '7680.cm'}
  • id: 66829267
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1504, -1, 4551, -1], 'generators': [6227020806, 366886747951942, 367920, 364056846894415, 5041, 1313941668606, 362886, 40284840], 'label': '46448640.a.6048.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '6048.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.E', 'subgroup_fusion': None, 'weyl_group': '7680.cm'}
  • id: 66829268
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1580, -1, 4564, -1], 'generators': [366886787868736, 364056806972575, 367920, 40284840, 362886, 1313941668606, 5041, 6227020806], 'label': '46448640.a.6048.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '6048.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.F', 'subgroup_fusion': None, 'weyl_group': '7680.cm'}
  • id: 66829269
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2552, -1, 4733, -1], 'generators': [9723467946102, 365451132182710, 357001329852721, 357001329852840, 1313901756720, 126, 5160, 6227020806], 'label': '46448640.a.6048.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '6048.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829270
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2590, -1, 4740, -1], 'generators': [8455989444185, 364096954368577, 357001329852721, 357001329852840, 1313901756720, 126, 5160, 6227020806], 'label': '46448640.a.6048.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '6048.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829271
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [546, -1, 4384, -1], 'generators': [5160, 6227020806, 1367812833840, 121, 355733932348816, 1307717890135, 362886, 13954796317145, 40279680, 1313941673526, 363000], 'label': '46448640.a.6048.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '6048.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.I', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829272
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [624, -1, 4397, -1], 'generators': [1367812833840, 13954796317145, 5160, 363000, 1313941673526, 1347911325497, 40279680, 362886, 1307717890135, 121, 6227020806], 'label': '46448640.a.6048.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '6048.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.J', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829273
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2857, -1, 4787, -1], 'generators': [355687429305190, 5160, 356995142748721, 362886, 1307714652720, 40279680, 356995142748840, 1641007, 363000], 'label': '46448640.a.6048.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '6048.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.K', 'subgroup_fusion': None, 'weyl_group': '5760.cm'}
  • id: 66829274
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '630.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 315, 'diagramx': [243, -1, 430, -1], 'generators': [356995452014944, 3378279053347199, 356995142748840, 355687867169158, 1307714652720, 4888985610314287, 1307674742542, 363000, 391893817, 369649454630406, 5160, 362886, 40279680, 753220436347440, 356995142748721], 'label': '46448640.a.630.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '630.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829275
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1724, -1, 4589, -1], 'generators': [5160, 356995142748721, 372439159972134, 376536538852439, 362886, 1307714652720, 40279680, 356995142748840, 363000], 'label': '46448640.a.6048.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '6048.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.L', 'subgroup_fusion': None, 'weyl_group': '3840.cn'}
  • id: 66829276
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2019, -1, 4641, -1], 'generators': [9723467946102, 364137190877230, 5160, 357001369406641, 1313901756720, 126, 357001369406760, 6227020806], 'label': '46448640.a.6048.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '6048.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829277
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1867, -1, 4614, -1], 'generators': [5160, 6227020806, 357001369406760, 8415753661302, 126, 1313901756720, 365444905162030, 357001369406641], 'label': '46448640.a.6048.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '6048.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.N', 'subgroup_fusion': None, 'weyl_group': '4374.fz'}
  • id: 66829278
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1308, -1, 4517, -1], 'generators': [367920, 6227383680, 1870503730467120, 356995142743801, 6267300486, 357001369764486, 6576566976, 4143931107120, 1313941673526], 'label': '46448640.a.6048.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '6048.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829279
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2438, -1, 4714, -1], 'generators': [357001329852721, 5160, 6227020806, 8455989444185, 9723467946102, 126, 357001329852840, 1313941673526], 'label': '46448640.a.6048.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '6048.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829280
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1829, -1, 4608, -1], 'generators': [5160, 6227020806, 8455989444185, 357001369406760, 126, 1313901756720, 365404668653503, 357001369406641], 'label': '46448640.a.6048.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '6048.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.Q', 'subgroup_fusion': None, 'weyl_group': '115680.s'}
  • id: 66829281
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [468, -1, 4370, -1], 'generators': [355741379089920, 355687431696409, 355733892432017, 370943631475504, 357001369769646, 6267300486, 1313941673526, 356995142748721, 6227383806, 5160, 362886], 'label': '46448640.a.6048.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '6048.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.R', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829282
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [858, -1, 4438, -1], 'generators': [355741379089920, 355733932348816, 355687431696409, 370943631475504, 357001369769646, 6267300486, 1313941673526, 356995142748721, 6227383806, 5160, 362886], 'label': '46448640.a.6048.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '6048.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.S', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829283
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2894, -1, 4793, -1], 'generators': [5160, 356995142748721, 1313942152025, 362886, 40279680, 356995142748840, 1313941673526, 1641007, 363000], 'label': '46448640.a.6048.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '6048.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.T', 'subgroup_fusion': None, 'weyl_group': '5760.cm'}
  • id: 66829284
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [1466, -1, 4544, -1], 'generators': [18065673549768, 20855378062072, 363000, 1313941673526, 356995142748840, 356995142748721, 6267300486, 5160, 362886], 'label': '46448640.a.6048.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.H', 'old_label': '6048.u1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829285
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '630.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 315, 'diagramx': [176, -1, 418, -1], 'generators': [356995452014944, 356995142748840, 355687867169158, 1307714652720, 4888985610314287, 3021277684303432, 1307674742542, 363000, 391893817, 369649454630406, 5160, 362886, 40279680, 753220436347440, 356995142748721], 'label': '46448640.a.630.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '630.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829286
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [297, -1, 4341, -1], 'generators': [1388409091918, 356995578655439, 1108914131369809, 356995102464000, 5645001978996175, 1307674368120, 357001369769527, 126], 'label': '46448640.a.6048.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.V', 'old_label': '6048.v1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.V', 'subgroup_fusion': None, 'weyl_group': '3840.eb'}
  • id: 66829287
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [361, -1, 4352, -1], 'generators': [357001369769646, 357001369764607, 367920, 1307802217678, 4877813289098568, 1108907864427289, 4523500729860343, 6227383680, 5646309613447249, 40279680, 357001507256110], 'label': '46448640.a.6048.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.W', 'old_label': '6048.w1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.W', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829288
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [937, -1, 4452, -1], 'generators': [4523500729860343, 367920, 357001369764607, 6227383680, 88295759, 357001507256110, 753226702910929, 4877813289098568, 5646309652996254, 40279680, 357001369769646], 'label': '46448640.a.6048.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.X', 'old_label': '6048.x1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.X', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829289
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1632, -1, 4574, -1], 'generators': [357001369769646, 5646363563629446, 357001369764607, 367920, 754528150258248, 6227383680, 40279680, 5289314772706680], 'label': '46448640.a.6048.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.B', 'old_label': '6048.y1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829290
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [238, -1, 4330, -1], 'generators': [357008517751391, 46551455585, 357001369769646, 5646309613447249, 1108907864427289, 367920, 357001369764607, 40279680, 6227383680], 'label': '46448640.a.6048.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.A', 'old_label': '6048.z1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.Z', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829291
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [180, -1, 4320, -1], 'generators': [1110222154920535, 357001369764607, 367920, 4128690453367368, 355687817558977, 6227383680, 356995102464000, 1307674373040], 'label': '46448640.a.6048.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.B', 'old_label': '6048.ba1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BA', 'subgroup_fusion': None, 'weyl_group': '7680.w'}
  • id: 66829292
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3249, -1, 4855, -1], 'generators': [367920, 357001369764607, 6227383680, 1110221765815968, 5290676135533447, 5644995973781880, 40279680, 357001369769646], 'label': '46448640.a.6048.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.D', 'old_label': '6048.bb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BB', 'subgroup_fusion': None, 'weyl_group': '4374.fz'}
  • id: 66829293
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3053, -1, 4821, -1], 'generators': [357008517751391, 46551455585, 357001369769646, 5646309613447249, 753226702910929, 357001369764607, 367920, 40279680, 6227383680], 'label': '46448640.a.6048.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.D', 'old_label': '6048.bc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BC', 'subgroup_fusion': None, 'weyl_group': '7680.w'}
  • id: 66829294
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1211, -1, 4500, -1], 'generators': [357001369769646, 46551455585, 357001369764607, 357008517751391, 367920, 5646309652996254, 1108907864427289, 6227383680, 40279680], 'label': '46448640.a.6048.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.B', 'old_label': '6048.bd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829295
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [2781, -1, 4774, -1], 'generators': [357008517751391, 46551455585, 357001369769646, 5646309652996254, 753226702910929, 357001369764607, 367920, 40279680, 6227383680], 'label': '46448640.a.6048.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.B', 'old_label': '6048.be1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BE', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829296
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '630.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 630, 'diagramx': [317, -1, 442, -1], 'generators': [356995452014944, 357001681466742, 355687867169158, 4888985610314287, 1110221805381246, 363000, 3376971379348542, 369649454630406, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.630.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '630.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829297
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2628, -1, 4747, -1], 'generators': [357001369764607, 367920, 4128690453730128, 6227383680, 1108914480552655, 356995102464000, 1307674373040, 6576566976], 'label': '46448640.a.6048.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.D', 'old_label': '6048.bf1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829298
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3211, -1, 4848, -1], 'generators': [8456029718824, 357001369769646, 1313901756720, 126, 357001369769527, 8415793578103, 5160, 6227020806], 'label': '46448640.a.6048.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '6048.bg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BG', 'subgroup_fusion': None, 'weyl_group': '7680.u'}
  • id: 66829299
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3119, -1, 4832, -1], 'generators': [4143931107241, 1870503730467120, 356995491569262, 357001369764607, 6267300486, 1313941673526, 357001369764486, 367920, 6227383680], 'label': '46448640.a.6048.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '6048.bh1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BH', 'subgroup_fusion': None, 'weyl_group': '115680.s'}
  • id: 66829300
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2986, -1, 4809, -1], 'generators': [4143931107241, 1870503730467120, 357001678673262, 357001369764607, 6267300486, 1313941673526, 357001369764486, 367920, 6227383680], 'label': '46448640.a.6048.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '6048.bi1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BI', 'subgroup_fusion': None, 'weyl_group': '15360.e'}
  • id: 66829301
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3172, -1, 4842, -1], 'generators': [9717200640582, 9763663812191, 357001369769646, 1313901756720, 126, 357001369769527, 5160, 6227020806], 'label': '46448640.a.6048.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '6048.bj1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829302
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2362, -1, 4700, -1], 'generators': [9763704086830, 9723467946102, 357001369769646, 1313901756720, 126, 357001369769527, 5160, 6227020806], 'label': '46448640.a.6048.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '6048.bk1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BK', 'subgroup_fusion': None, 'weyl_group': '7680.u'}
  • id: 66829303
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1259, -1, 4508, -1], 'generators': [357001369764607, 367920, 1307714647800, 6227383680, 1870503730467120, 4143931107120, 356995142748840, 6576566976, 40284840], 'label': '46448640.a.6048.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.K', 'old_label': '6048.bl1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829304
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2819, -1, 4780, -1], 'generators': [6576566976, 4143931107241, 1870503730467120, 357001369764607, 6267300486, 1313941673526, 357001369764486, 367920, 6227383680], 'label': '46448640.a.6048.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '6048.bm1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BM', 'subgroup_fusion': None, 'weyl_group': '9640.e'}
  • id: 66829305
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2400, -1, 4707, -1], 'generators': [8455989444185, 357001369769646, 1313901756720, 126, 357001369769527, 8409526272583, 5160, 6227020806], 'label': '46448640.a.6048.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '6048.bn1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829306
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1776, -1, 4598, -1], 'generators': [5631074138171542, 357001369769646, 1313941673526, 40279680, 5646309613447249, 4879127150928288, 1108907864427289, 356995142748721, 6227383806, 6227025966, 6227383680], 'label': '46448640.a.6048.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.E', 'old_label': '6048.bo1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829307
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '630.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 315, 'diagramx': [51, -1, 396, -1], 'generators': [356995452014944, 357001681466742, 355687867169158, 4888985610314287, 1110221805381246, 1307674742542, 363000, 369649454630406, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.630.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '630.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630.E', 'subgroup_fusion': None, 'weyl_group': '36864.g'}
  • id: 66829308
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [780, -1, 4425, -1], 'generators': [355741379090046, 6227383806, 356995142748840, 6267300486, 1347911325497, 5160, 357001369769527, 362886, 355693658717208, 13954796317145, 1313941673526], 'label': '46448640.a.6048.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '6048.bp1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BP', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829309
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [702, -1, 4411, -1], 'generators': [355741379090046, 355733932348816, 13954796317145, 5160, 6267300486, 1313941673526, 356995142748840, 355693658717208, 357001369769527, 6227383806, 362886], 'label': '46448640.a.6048.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '6048.bq1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BQ', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829310
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [2743, -1, 4767, -1], 'generators': [357001371400321, 355693656325984, 357001369769646, 6267300486, 363000, 1307714652720, 357001369769527, 5160, 362886], 'label': '46448640.a.6048.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.a1', 'old_label': '6048.br1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BR', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829311
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1168, -1, 4492, -1], 'generators': [357001369769646, 6227020806, 8375646177048, 357001369764607, 367920, 12513260793743, 362886, 1313901393846], 'label': '46448640.a.6048.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BI', 'old_label': '6048.bs1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BS', 'subgroup_fusion': None, 'weyl_group': '3840.cn'}
  • id: 66829312
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2705, -1, 4760, -1], 'generators': [8455989444185, 9723467946102, 357001369769646, 1313941673526, 126, 357001369769527, 5160, 6227020806], 'label': '46448640.a.6048.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BP', 'old_label': '6048.bt1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BT', 'subgroup_fusion': None, 'weyl_group': '1920.240996'}
  • id: 66829313
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2932, -1, 4800, -1], 'generators': [357001371400321, 355687429305190, 357001369769646, 363000, 1313941673526, 40279680, 357001369769527, 5160, 362886], 'label': '46448640.a.6048.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '6048.bu1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829314
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1686, -1, 4583, -1], 'generators': [376542765873359, 373753061360934, 357001369769646, 363000, 40279680, 1307714652720, 357001369769527, 5160, 362886], 'label': '46448640.a.6048.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '6048.bv1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BV', 'subgroup_fusion': None, 'weyl_group': '5760.eh'}
  • id: 66829315
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 3024, 'diagramx': [1414, -1, 4535, -1], 'generators': [15316292251560, 357001369769646, 363000, 1313941673526, 40279680, 355693658717208, 11218787169960, 357001369769527, 5160, 362886, 6227020806], 'label': '46448640.a.6048.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '6048.bw1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BW', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829316
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2286, -1, 4687, -1], 'generators': [356995579023359, 753226702910929, 367920, 5041, 6227383680, 357075837192958, 40279680, 5289308283599569], 'label': '46448640.a.6048.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.N', 'old_label': '6048.bx1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829317
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2324, -1, 4694, -1], 'generators': [476554318, 367920, 1110215538795295, 5041, 80774282878, 6227383680, 40279680, 5289308283599569], 'label': '46448640.a.6048.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.N', 'old_label': '6048.by1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829318
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '672.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [125, -1, 468, -1], 'generators': [1115881862474591, 357001369769646, 40279680, 1313941310766, 357001369424647, 3372699730140846, 6227025966, 357001369406767, 6227383680], 'label': '46448640.a.672.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.B', 'old_label': '672.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.A', 'subgroup_fusion': None, 'weyl_group': '23040.x'}
  • id: 66829319
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [46, -1, 4297, -1], 'generators': [355694004662977, 3771701617835815, 1110222154920535, 1307674373040, 356995102464000, 356995102464121, 367920, 6227383680], 'label': '46448640.a.6048.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '6048.bz1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.BZ', 'subgroup_fusion': None, 'weyl_group': '7680.u'}
  • id: 66829320
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1981, -1, 4634, -1], 'generators': [1110222154920535, 356995102464121, 367920, 3771701617835815, 6227383680, 356995102464000, 1307674373040, 6576566976], 'label': '46448640.a.6048.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '6048.ca1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829321
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2248, -1, 4681, -1], 'generators': [1110222154920535, 356995102464121, 367920, 3771701617835815, 6227383680, 356995102464000, 1307674373040, 1308063473142], 'label': '46448640.a.6048.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '6048.cb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CB', 'subgroup_fusion': None, 'weyl_group': '7680.u'}
  • id: 66829322
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1010, -1, 4465, -1], 'generators': [355694004662977, 3771701618198815, 356995102464121, 1307674373040, 356995102464000, 1108914480552655, 367920, 6227383680], 'label': '46448640.a.6048.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '6048.cc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829323
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1076, -1, 4476, -1], 'generators': [356995102464121, 356995491569143, 367920, 6227383680, 1108914480552655, 3771701618198815, 356995102464000, 1307674373040], 'label': '46448640.a.6048.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '6048.cd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CD', 'subgroup_fusion': None, 'weyl_group': '3840.ch'}
  • id: 66829324
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2476, -1, 4720, -1], 'generators': [356995102464121, 367920, 6227383680, 1108914480552655, 3771701618198815, 356995102464000, 1307674373040, 6576566976], 'label': '46448640.a.6048.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '6048.ce1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829325
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [112, -1, 4308, -1], 'generators': [1110222154920535, 356995102464121, 356995491569143, 367920, 3771701617835815, 6227383680, 356995102464000, 1307674373040], 'label': '46448640.a.6048.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '6048.cf1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CF', 'subgroup_fusion': None, 'weyl_group': '115680.s'}
  • id: 66829326
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2666, -1, 4754, -1], 'generators': [356995102464121, 367920, 6227383680, 1108914480552655, 3771701618198815, 356995102464000, 1307674373040, 1308063473142], 'label': '46448640.a.6048.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '6048.cg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829327
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2095, -1, 4654, -1], 'generators': [9723467946102, 364137230794024, 5160, 1313901756720, 357001329489847, 126, 357001329489966, 6227020806], 'label': '46448640.a.6048.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '6048.ch1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829328
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6048.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2133, -1, 4661, -1], 'generators': [5160, 6227020806, 357001329489966, 126, 357001329489847, 1313901756720, 9763663812191, 364096954368703], 'label': '46448640.a.6048.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '6048.ci1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829329
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '672.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [198, -1, 481, -1], 'generators': [356995142408887, 1307714284800, 1870584329387825, 357008514514129, 6227383680, 356995142743680, 40279680, 356995142380801], 'label': '46448640.a.672.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.B', 'old_label': '672.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829338
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6480.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2160, 'diagramx': [31, -1, 4875, -1], 'generators': [3768945836145863, 2618218955491798, 4877853749366400, 355720655006945, 363000, 40279680, 362886, 355687428096001, 5160, 355687428096120, 6227020806], 'label': '46448640.a.6480.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1080.B', 'old_label': '6480.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6480.a1', 'subgroup_fusion': None, 'weyl_group': '21504.cf'}
  • id: 66829339
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [1293, -1, 5101, -1], 'generators': [3770205874444921, 20849238559031, 15275968220033, 129444055, 6227383806, 356995142748840, 1307714652720, 356995142748721, 40279680, 5160, 362886], 'label': '46448640.a.6720.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.G', 'old_label': '6720.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.A', 'subgroup_fusion': None, 'weyl_group': '6912.jj'}
  • id: 66829340
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '672.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [53, -1, 456, -1], 'generators': [19679345695, 356995142408887, 1307714284800, 1870584329387825, 6227383680, 356995142743680, 40279680, 356995142380801], 'label': '46448640.a.672.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.B', 'old_label': '672.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829341
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [1182, -1, 5082, -1], 'generators': [357001419370009, 356995142748840, 4124579441436727, 6227025966, 363000, 20849238559031, 15275968220033, 362886, 40279680, 1313941673526, 356995142748721], 'label': '46448640.a.6720.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '6720.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.B', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829342
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [1126, -1, 5072, -1], 'generators': [357001419370009, 356995142748840, 4124579441436727, 6227025966, 363000, 376542854127064, 15275968220033, 362886, 40279680, 1313941673526, 356995142748721], 'label': '46448640.a.6720.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '6720.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.C', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829343
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [1237, -1, 5092, -1], 'generators': [5160, 15275968220033, 3770205874444921, 6227383806, 356995142748721, 129444055, 362886, 1307714652720, 40279680, 356995142748840, 376542854127064], 'label': '46448640.a.6720.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.G', 'old_label': '6720.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.D', 'subgroup_fusion': None, 'weyl_group': '6912.jj'}
  • id: 66829344
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [1067, -1, 5062, -1], 'generators': [3770205874444921, 15275968220033, 129444055, 356995142748721, 356995142748840, 1307714652720, 6388357815290591, 6227383806, 40279680, 5160, 362886], 'label': '46448640.a.6720.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.E', 'old_label': '6720.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.E', 'subgroup_fusion': None, 'weyl_group': '13824.cm'}
  • id: 66829345
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [1460, -1, 5130, -1], 'generators': [5160, 15275968220033, 3770205874444921, 6227383806, 356995142748721, 129444055, 6387043953450544, 362886, 1307714652720, 40279680, 356995142748840], 'label': '46448640.a.6720.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.E', 'old_label': '6720.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.F', 'subgroup_fusion': None, 'weyl_group': '13824.cm'}
  • id: 66829346
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [881, -1, 5029, -1], 'generators': [357001419370009, 6388351587906790, 376576903958711, 6267300486, 5160, 15269741199239, 357001369769527, 6227020920, 357001369769646, 3770205874444921, 1313941673526], 'label': '46448640.a.6720.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '6720.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.G', 'subgroup_fusion': None, 'weyl_group': '6912.ex'}
  • id: 66829347
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [743, -1, 5006, -1], 'generators': [1128449301252185, 357001419370009, 357035426507520, 4889045533478537, 6267300486, 5160, 357001369769527, 6227020920, 357001369769646, 1313941673526, 1110215538448680], 'label': '46448640.a.6720.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '6720.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.H', 'subgroup_fusion': None, 'weyl_group': '3200.go'}
  • id: 66829348
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [1404, -1, 5121, -1], 'generators': [3770205874444921, 15269741199239, 376576903958711, 376536667022950, 356995191986329, 357001369769646, 1313941673526, 357001369769527, 6227020920, 6267300486, 5160], 'label': '46448640.a.6720.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '6720.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.I', 'subgroup_fusion': None, 'weyl_group': '3456.cy'}
  • id: 66829349
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 280, 'diagramx': [807, -1, 5017, -1], 'generators': [357001369769646, 5160, 6227020806, 357001419370009, 1128449301614945, 357001369769527, 362886, 357035426875566, 40279680, 1313941673526, 363000], 'label': '46448640.a.6720.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '280.a1', 'old_label': '6720.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829350
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2240, 'diagramx': [474, -1, 4959, -1], 'generators': [3778595543088310, 3785703404325702, 5636619625610878, 357001369769646, 363000, 1313941673526, 40279680, 357001369769527, 5160, 362886, 6227020806], 'label': '46448640.a.6720.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1120.A', 'old_label': '6720.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.K', 'subgroup_fusion': None, 'weyl_group': '41472.r'}
  • id: 66829351
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '72.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [41, -1, 32, -1], 'generators': [3014276553383046, 355694007098862, 357001369769646, 6267300486, 363000, 1313941673526, 357001369769527, 5160, 6227383680], 'label': '46448640.a.72.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '72.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.A', 'subgroup_fusion': None, 'weyl_group': '645120.a'}
  • id: 66829352
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '756.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [375, -1, 550, -1], 'generators': [355727967840137, 1307976755881, 1108908166072327, 357001369769646, 40284840, 1313941673526, 362886, 4883412339163567, 367920, 357001369764607, 6227020806], 'label': '46448640.a.756.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '756.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.A', 'subgroup_fusion': None, 'weyl_group': '61440.cg'}
  • id: 66829353
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1120, 'diagramx': [1348, -1, 5111, -1], 'generators': [357081802946633, 363000, 5160, 1118665214127070, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 4893075852969479, 6227020806], 'label': '46448640.a.6720.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1120.A', 'old_label': '6720.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.L', 'subgroup_fusion': None, 'weyl_group': '41472.r'}
  • id: 66829354
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [265, -1, 4922, -1], 'generators': [4125893302540801, 19541564196071, 15275968220033, 376583130616631, 129439014, 356995142748721, 356995142748840, 6227388726, 1307714647800, 40279680, 362886], 'label': '46448640.a.6720.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '6720.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.M', 'subgroup_fusion': None, 'weyl_group': '13824.bd'}
  • id: 66829355
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [321, -1, 4932, -1], 'generators': [356995142748840, 4125893302540801, 15275968220033, 1307714647800, 362886, 376576903595951, 6227388726, 40279680, 129439014, 19541564196071, 356995142748721], 'label': '46448640.a.6720.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.G', 'old_label': '6720.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.N', 'subgroup_fusion': None, 'weyl_group': '6912.jj'}
  • id: 66829356
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [1008, -1, 5052, -1], 'generators': [6032670387189551, 15275968220033, 356995142748721, 376583130616631, 1307714647800, 6227388726, 362886, 129439014, 4125893302540801, 40279680, 356995142748840], 'label': '46448640.a.6720.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.C', 'old_label': '6720.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.O', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829357
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [373, -1, 4941, -1], 'generators': [1110215538448680, 357035426875566, 4534665820035137, 129444174, 772768140088750, 356995142748840, 355687428096001, 6227383806, 40279680, 5160, 362886], 'label': '46448640.a.6720.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.C', 'old_label': '6720.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.P', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829358
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 280, 'diagramx': [96, -1, 4893, -1], 'generators': [15275968220033, 356995142748721, 376583130616631, 1307714647800, 6227388726, 362886, 129439014, 4125893302540801, 40279680, 356995142748840, 19541564191151], 'label': '46448640.a.6720.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '280.a1', 'old_label': '6720.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.Q', 'subgroup_fusion': None, 'weyl_group': '41472.j'}
  • id: 66829359
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [952, -1, 5042, -1], 'generators': [4125893302540801, 376576903595951, 6032670387189551, 15275968220033, 129439014, 356995142748721, 356995142748840, 6227388726, 1307714647800, 40279680, 362886], 'label': '46448640.a.6720.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.A', 'old_label': '6720.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.R', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829360
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [422, -1, 4949, -1], 'generators': [4889045533478542, 357035426875566, 129444174, 1110215538443641, 6227383806, 356995142748840, 355687428096001, 772768140088750, 40279680, 5160, 362886], 'label': '46448640.a.6720.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.A', 'old_label': '6720.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.S', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829361
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 560, 'diagramx': [153, -1, 4903, -1], 'generators': [4125893302540801, 19541564196071, 15275968220033, 129439014, 19581761582944, 356995142748721, 356995142748840, 6227388726, 1307714647800, 40279680, 362886], 'label': '46448640.a.6720.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '560.a1', 'old_label': '6720.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.T', 'subgroup_fusion': None, 'weyl_group': '20736.r'}
  • id: 66829362
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [209, -1, 4912, -1], 'generators': [4125893302540801, 376542854127064, 376576903595951, 15275968220033, 129439014, 356995142748721, 356995142748840, 6227388726, 1307714647800, 40279680, 362886], 'label': '46448640.a.6720.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '6720.u1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.U', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829363
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '756.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [489, -1, 570, -1], 'generators': [355727967840137, 1307976755881, 1108908166072327, 357001369769646, 40284840, 1313941673526, 362886, 4527724911062527, 367920, 357001369764607, 6227020806], 'label': '46448640.a.756.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '756.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.B', 'subgroup_fusion': None, 'weyl_group': '61440.cg'}
  • id: 66829364
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 280, 'diagramx': [40, -1, 4883, -1], 'generators': [4125893302540801, 376542854121904, 376576903595951, 15275968220033, 129439014, 356995142748721, 356995142748840, 6227388726, 1307714647800, 40279680, 362886], 'label': '46448640.a.6720.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '280.a1', 'old_label': '6720.v1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829365
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [585, -1, 4978, -1], 'generators': [376536667022950, 356995191986329, 20895662608984, 6387043913538784, 356995102469041, 5160, 356995102469160, 6227020920, 369655681663312, 1307674373040, 3770205874444921], 'label': '46448640.a.6720.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '6720.w1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.W', 'subgroup_fusion': None, 'weyl_group': '6912.ex'}
  • id: 66829366
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [686, -1, 4995, -1], 'generators': [376536667022950, 356995191986329, 20895662608984, 356995102469041, 5160, 356995102469160, 6227020920, 369655681663312, 1307674373040, 6388357855202351, 3770205874444921], 'label': '46448640.a.6720.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '6720.x1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.X', 'subgroup_fusion': None, 'weyl_group': '6912.ex'}
  • id: 66829367
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [529, -1, 4968, -1], 'generators': [376542894043744, 20895662608984, 356995102469041, 5160, 356995102469160, 6227020920, 369655681663312, 1307674373040, 3770205874444921, 357001459286689, 6387050180834345], 'label': '46448640.a.6720.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '6720.y1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.Y', 'subgroup_fusion': None, 'weyl_group': '6912.ex'}
  • id: 66829368
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6720.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [637, -1, 4987, -1], 'generators': [376542894043744, 6388351587906790, 20895662608984, 356995102469041, 5160, 356995102469160, 6227020920, 369655681663312, 1307674373040, 3770205874444921, 357001459286689], 'label': '46448640.a.6720.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '6720.z1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6720.Z', 'subgroup_fusion': None, 'weyl_group': '6912.ex'}
  • id: 66829369
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 7560, 'diagramx': [1821, -1, 5450, -1], 'generators': [5631101048995062, 1509250519946296, 6227025966, 6267300486, 355687428459006, 2262510931604417, 6227020920, 355693655116807, 6384300759624958, 1509230841344646, 5275406432643977, 6384314171329505], 'label': '46448640.a.7560.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7560.A', 'old_label': '7560.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.A', 'subgroup_fusion': None, 'weyl_group': '3072.ly'}
  • id: 66829370
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 7560, 'diagramx': [4688, -1, 5950, -1], 'generators': [1509250519946296, 6227025966, 6028613331528952, 6267300486, 1509237068370486, 355687428459006, 2262510931604417, 6227020920, 5631107276015856, 355693655116807, 5275406432643977, 6385621885972271], 'label': '46448640.a.7560.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7560.B', 'old_label': '7560.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829371
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 7560, 'diagramx': [5920, -1, 6165, -1], 'generators': [5631101048995062, 1509250480029502, 6227025966, 6267300486, 355687428459006, 6028613331528959, 5275406433006863, 1509237108282246, 2262510931604417, 6227020920, 355693655116807, 6384314171329505], 'label': '46448640.a.7560.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7560.C', 'old_label': '7560.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.C', 'subgroup_fusion': None, 'weyl_group': '3072.sc'}
  • id: 66829372
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 7560, 'diagramx': [202, -1, 5168, -1], 'generators': [1509250480029502, 6384300759624953, 6227025966, 6267300486, 355687428459006, 5275406433006863, 1509230881266486, 2262510931604417, 6227020920, 5631107276015856, 355693655116807, 6385621885972271], 'label': '46448640.a.7560.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7560.D', 'old_label': '7560.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829373
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [4747, -1, 5960, -1], 'generators': [6385608386450345, 356995104116536, 4124592813231665, 1307714652720, 363000, 356995406459646, 357001369406760, 6227388840, 39916806, 6354029095, 1510538251662430, 356995142748721], 'label': '46448640.a.7560.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.P', 'old_label': '7560.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829374
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '756.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [320, -1, 541, -1], 'generators': [367920, 40284840, 357001369764607, 355734154944137, 4883412339163567, 1108908166072327, 362886, 357001369769646, 1313941673526, 1307936839087, 6227020806], 'label': '46448640.a.756.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '756.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.C', 'subgroup_fusion': None, 'weyl_group': '61440.cg'}
  • id: 66829375
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [4166, -1, 5859, -1], 'generators': [6385608386450345, 6268952903, 4124592813231665, 1307714652720, 363000, 356995406459646, 357001369406760, 6227388840, 39916806, 6354029095, 1510538251662430, 356995142748721], 'label': '46448640.a.7560.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.P', 'old_label': '7560.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829376
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [4907, -1, 5988, -1], 'generators': [6385608386450345, 4124592813231665, 1307714652720, 363000, 357001369406760, 6227388840, 6490741680, 39916806, 6354029095, 1510538251662430, 356995104474376, 356995142748721], 'label': '46448640.a.7560.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.U', 'old_label': '7560.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829377
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [5081, -1, 6018, -1], 'generators': [6385608386450345, 4124592813231665, 1307714652720, 6268584983, 363000, 357001369406760, 6227388840, 6490741680, 39916806, 6354029095, 1510538251662430, 356995142748721], 'label': '46448640.a.7560.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.U', 'old_label': '7560.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829378
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [6700, -1, 6301, -1], 'generators': [355687428096001, 6268952903, 6384294445512550, 4124592813231665, 6227025966, 363000, 356995366542847, 362886, 40279680, 356995189923534, 1864924272690785, 355693655116926], 'label': '46448640.a.7560.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829379
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [3524, -1, 5747, -1], 'generators': [355687428096001, 6268952903, 6530658481, 6384294445512550, 4124592813231665, 6354029088, 6227025966, 363000, 362886, 40279680, 1864924272690785, 355693655116926], 'label': '46448640.a.7560.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829380
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [1042, -1, 5315, -1], 'generators': [355687428096001, 356995189923529, 6268952903, 6384294445512550, 4124592813231665, 6227025966, 363000, 356995406459646, 362886, 40279680, 1864924272690785, 355693655116926], 'label': '46448640.a.7560.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829381
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [6259, -1, 6224, -1], 'generators': [355687428096001, 356995104116536, 6530658481, 6384294445512550, 4124592813231665, 6354029088, 6227025966, 363000, 362886, 40279680, 1864924272690785, 355693655116926], 'label': '46448640.a.7560.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829382
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [5220, -1, 6043, -1], 'generators': [355687428096001, 6530658481, 6384294445512550, 4124592813231665, 6354029088, 6227025966, 363000, 362886, 40279680, 1864924272690785, 355693655116926, 356995104474376], 'label': '46448640.a.7560.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829383
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [2741, -1, 5611, -1], 'generators': [355687428096001, 356995104116536, 6384294445512550, 4124592813231665, 6227025966, 363000, 356995366542847, 362886, 40279680, 356995189923534, 1864924272690785, 355693655116926], 'label': '46448640.a.7560.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829384
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [7019, -1, 6356, -1], 'generators': [355687428096001, 6384294445512550, 4124592813231665, 6227025966, 363000, 356995366542847, 362886, 40279680, 356995189923534, 1864924272690785, 355693655116926, 356995104474376], 'label': '46448640.a.7560.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829385
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '756.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [53, -1, 494, -1], 'generators': [367920, 40284840, 357001369764607, 355734154944137, 1108908166072327, 362886, 357001369769646, 1313941673526, 4527724911062527, 1307936839087, 6227020806], 'label': '46448640.a.756.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '756.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.D', 'subgroup_fusion': None, 'weyl_group': '61440.cg'}
  • id: 66829386
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [7422, -1, 6426, -1], 'generators': [355687428096001, 356995189923529, 356995104116536, 6384294445512550, 4124592813231665, 6227025966, 363000, 356995406459646, 362886, 40279680, 1864924272690785, 355693655116926], 'label': '46448640.a.7560.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829387
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [4820, -1, 5973, -1], 'generators': [355687428096001, 356995189923529, 6384294445512550, 4124592813231665, 6227025966, 363000, 356995406459646, 362886, 40279680, 1864924272690785, 355693655116926, 356995104474376], 'label': '46448640.a.7560.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829388
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [6508, -1, 6267, -1], 'generators': [355687428096001, 6268952903, 6384294445512550, 4124592813231665, 6227025966, 363000, 6490741680, 362886, 6354029095, 40279680, 1864924272690785, 355693655116926], 'label': '46448640.a.7560.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829389
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [3585, -1, 5758, -1], 'generators': [1864924623469854, 6227383680, 355687428096120, 6227025966, 4522159046378297, 363000, 6267300486, 3371359093401001, 355693655116807, 4522152993925817, 3015731712711727, 3015685339401742], 'label': '46448640.a.7560.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '7560.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.S', 'subgroup_fusion': None, 'weyl_group': '12288.bw'}
  • id: 66829390
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [5354, -1, 6066, -1], 'generators': [1864924623469854, 6227383680, 355687428096120, 6227025966, 4522159046378297, 2262491251781736, 363000, 6267300486, 355693655116807, 4522152993925817, 3015731712711727, 3015685339401742], 'label': '46448640.a.7560.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.F', 'old_label': '7560.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829391
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [4455, -1, 5910, -1], 'generators': [1864924623469854, 6227383680, 355687428096120, 6227025966, 4522159046378297, 363000, 6267300486, 5631053366574576, 355693655116807, 4522152993925817, 3015731712711727, 3015685339401742], 'label': '46448640.a.7560.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '630.C', 'old_label': '7560.u1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829392
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': None, 'generators': [355687428096001, 6384294445512550, 4124592813231665, 6227025966, 363000, 6490741680, 362886, 6354029095, 40279680, 1864924272690785, 355693655116926, 356995104474376], 'label': '46448640.a.7560.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.vB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829393
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': None, 'generators': [355687428096001, 356995104116536, 6384294445512550, 4124592813231665, 6227025966, 363000, 6490741680, 362886, 6354029095, 40279680, 1864924272690785, 355693655116926], 'label': '46448640.a.7560.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.vC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829394
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [781, -1, 5269, -1], 'generators': [1864924623469854, 6227383680, 3016985526771846, 355687428096120, 6227025966, 4522159046378297, 363000, 6267300486, 355693655116807, 4522152993925817, 3015731712711727, 3015685339401742], 'label': '46448640.a.7560.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.K', 'old_label': '7560.w1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829395
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [7559, -1, 6450, -1], 'generators': [355687428096001, 6384294445512550, 4124592813231665, 6227025966, 6268584983, 363000, 356995366542847, 362886, 40279680, 356995189923534, 1864924272690785, 355693655116926], 'label': '46448640.a.7560.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.x1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829396
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '756.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 756, 'diagramx': [244, -1, 528, -1], 'generators': [1307675542456, 264896767, 2619466017206526, 363000, 2263799226119046, 5160, 357001369769527, 362886, 40279680, 1108908126160567, 357001369769646, 4527724911062527, 1313941673526, 6227020806], 'label': '46448640.a.756.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.E', 'old_label': '756.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829397
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [269, -1, 5180, -1], 'generators': [355687428096001, 6530658481, 6384294445512550, 4124592813231665, 6354029088, 6227025966, 6268584983, 363000, 362886, 40279680, 1864924272690785, 355693655116926], 'label': '46448640.a.7560.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.y1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829398
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [4993, -1, 6003, -1], 'generators': [355687428096001, 356995189923529, 6384294445512550, 4124592813231665, 6227025966, 6268584983, 363000, 356995406459646, 362886, 40279680, 1864924272690785, 355693655116926], 'label': '46448640.a.7560.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.z1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829399
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [3447, -1, 5734, -1], 'generators': [355687428096001, 6384294445512550, 4124592813231665, 6227025966, 6268584983, 363000, 6490741680, 362886, 6354029095, 40279680, 1864924272690785, 355693655116926], 'label': '46448640.a.7560.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.ba1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829400
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [2000, -1, 5481, -1], 'generators': [1864924623469854, 6227383680, 355687428096120, 3371359093033081, 6227025966, 4522159046378297, 363000, 6267300486, 355693655116807, 4522152993925817, 3015731712711727, 3015685339401742], 'label': '46448640.a.7560.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '7560.bb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BC', 'subgroup_fusion': None, 'weyl_group': '12288.bw'}
  • id: 66829401
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [6767, -1, 6312, -1], 'generators': [1367677410480, 355687428096001, 2618158120329175, 355687428096120, 363000, 5160, 362886, 40279680, 2619505994509582, 6384314171329505, 5632401495196096, 6227020806], 'label': '46448640.a.7560.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '7560.bc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BD', 'subgroup_fusion': None, 'weyl_group': '3072.sh'}
  • id: 66829402
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [3364, -1, 5719, -1], 'generators': [355687428096001, 6384294445512550, 355687428096120, 355694045845975, 363000, 356995403689663, 4124592813236825, 5160, 362886, 40279680, 1864924272690785, 6227020806], 'label': '46448640.a.7560.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.bd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829403
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [5788, -1, 6141, -1], 'generators': [355687428096001, 6384294445512550, 355687428096120, 355694045845975, 363000, 4124592813236825, 5160, 362886, 40279680, 1864924272690785, 6488692416, 6227020806], 'label': '46448640.a.7560.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.be1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829404
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [6903, -1, 6336, -1], 'generators': [355687428096001, 6384294445512550, 355687428096120, 363000, 356995406459646, 4124592813236825, 5160, 362886, 6354029095, 40279680, 1864924272690785, 6227020806], 'label': '46448640.a.7560.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.bf1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829405
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [7279, -1, 6402, -1], 'generators': [355687428096001, 5631053324215375, 355687428096120, 363000, 355687468819792, 5160, 362886, 19988611609, 40279680, 1381050696535, 2262524301285414, 6227020806], 'label': '46448640.a.7560.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.bg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829406
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 7560, 'diagramx': [843, -1, 5280, -1], 'generators': [6029947869926392, 355687428096001, 355687428096120, 6385615658951470, 363000, 5276727482729023, 5160, 362886, 40279680, 2619505994509582, 4523487185964222, 6227020806], 'label': '46448640.a.7560.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BA', 'old_label': '7560.bh1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BI', 'subgroup_fusion': None, 'weyl_group': '6144.pz'}
  • id: 66829407
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '756.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 378, 'diagramx': [432, -1, 560, -1], 'generators': [4883432810469142, 1108908126160567, 4884713699425920, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.756.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '756.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.F', 'subgroup_fusion': None, 'weyl_group': '61440.cg'}
  • id: 66829408
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [6199, -1, 6213, -1], 'generators': [355687428096001, 6384294445512550, 355687428096120, 363000, 4124592813236825, 6490741680, 5160, 362886, 6354029095, 40279680, 1864924272690785, 6227020806], 'label': '46448640.a.7560.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '630.E', 'old_label': '7560.bi1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829409
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [3883, -1, 5810, -1], 'generators': [355687428096001, 355687428096120, 363000, 5160, 6028572920042752, 4877826702312377, 4877853572402632, 355707067973041, 362886, 40279680, 6384300759624958, 6227020806], 'label': '46448640.a.7560.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '7560.bj1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BK', 'subgroup_fusion': None, 'weyl_group': '36864.g'}
  • id: 66829410
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 7560, 'diagramx': [5856, -1, 6153, -1], 'generators': [355687428096001, 355687428096120, 363000, 4877873126801137, 5160, 6028633928252759, 362886, 5631107276015856, 40279680, 6384314171329505, 2262504704946497, 6227020806], 'label': '46448640.a.7560.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BA', 'old_label': '7560.bk1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BL', 'subgroup_fusion': None, 'weyl_group': '6144.pz'}
  • id: 66829411
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [5658, -1, 6119, -1], 'generators': [355687428096001, 2618158120329175, 355687428096120, 6385615658951470, 363000, 5275400205986057, 355741164558846, 5160, 362886, 40279680, 2262504704946497, 6227020806], 'label': '46448640.a.7560.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '7560.bl1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BM', 'subgroup_fusion': None, 'weyl_group': '3072.sh'}
  • id: 66829412
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [8072, -1, 6540, -1], 'generators': [1367677410480, 355687428096001, 2618158120329175, 355687428096120, 6385615658951470, 363000, 5160, 362886, 40279680, 2619505994509582, 5632401495196096, 6227020806], 'label': '46448640.a.7560.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '7560.bm1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BN', 'subgroup_fusion': None, 'weyl_group': '3072.sh'}
  • id: 66829413
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [6321, -1, 6234, -1], 'generators': [355687428096001, 5631053324215375, 355687428096120, 1313902563719, 363000, 5160, 362886, 19988611609, 40279680, 355754616952729, 2262524301285414, 6227020806], 'label': '46448640.a.7560.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BD', 'old_label': '7560.bn1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BO', 'subgroup_fusion': None, 'weyl_group': '1536.408634200'}
  • id: 66829414
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [7485, -1, 6437, -1], 'generators': [355687428096001, 2618158120329175, 355687428096120, 363000, 5275400205986057, 355741164558846, 5160, 362886, 40279680, 6384314171329505, 2262504704946497, 6227020806], 'label': '46448640.a.7560.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '7560.bo1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BP', 'subgroup_fusion': None, 'weyl_group': '3072.sh'}
  • id: 66829415
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [2454, -1, 5561, -1], 'generators': [355687428096001, 5631053324215375, 355687428096120, 363000, 355687468819792, 5160, 362886, 19988611609, 40279680, 355754616952729, 2262524301285414, 6227020806], 'label': '46448640.a.7560.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.bp1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829416
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 7560, 'diagramx': [6956, -1, 6345, -1], 'generators': [355687428096001, 355687428096120, 6385615658951470, 363000, 4877873126801137, 5160, 6028633928252759, 362886, 5631107276015856, 40279680, 2262504704946497, 6227020806], 'label': '46448640.a.7560.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BA', 'old_label': '7560.bq1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BR', 'subgroup_fusion': None, 'weyl_group': '6144.pz'}
  • id: 66829417
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 7560, 'diagramx': [606, -1, 5239, -1], 'generators': [6029947869926392, 355687428096001, 355687428096120, 363000, 5276727482729023, 5160, 362886, 40279680, 2619505994509582, 4523487185964222, 6384314171329505, 6227020806], 'label': '46448640.a.7560.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BA', 'old_label': '7560.br1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BS', 'subgroup_fusion': None, 'weyl_group': '6144.pz'}
  • id: 66829418
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '756.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 126, 'diagramx': [120, -1, 506, -1], 'generators': [357075662993590, 363000, 5160, 357001369769527, 362886, 1381050696535, 40279680, 1108908126160567, 357001369769646, 4527724911062527, 1313941673526, 6227020806], 'label': '46448640.a.756.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.a1', 'old_label': '756.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829419
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [1882, -1, 5461, -1], 'generators': [6227383806, 2263772100021529, 356995142748840, 6385615658951470, 6227025966, 5275400205986057, 355741164558846, 357001369769527, 362886, 40279680, 2619505994509582, 1313941673526], 'label': '46448640.a.7560.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '7560.bs1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BT', 'subgroup_fusion': None, 'weyl_group': '3072.sh'}
  • id: 66829420
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [3655, -1, 5770, -1], 'generators': [356995142748840, 6227383680, 769978395216409, 357082016671031, 363000, 1321129567150, 5160, 5631033725073049, 43533665, 40279680, 1313941673526, 356995142748721], 'label': '46448640.a.7560.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.bt1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BU', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829421
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [2866, -1, 5632, -1], 'generators': [356995142748840, 6227383680, 769978395216409, 357001333096750, 357082016671031, 363000, 1321129567150, 5160, 40279680, 5276660158816855, 1313941673526, 356995142748721], 'label': '46448640.a.7560.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.bu1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BV', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829422
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [6376, -1, 6244, -1], 'generators': [126, 357008903613655, 357001369406641, 357001369406760, 5276667383741089, 1313941310640, 355687468819792, 39916806, 1381050696535, 2262524301285414, 368046, 6227020806], 'label': '46448640.a.7560.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BD', 'old_label': '7560.bv1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BW', 'subgroup_fusion': None, 'weyl_group': '1536.408634200'}
  • id: 66829423
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [6073, -1, 6191, -1], 'generators': [356995142748840, 6227383680, 769978395216409, 86874658264, 363000, 1321129567150, 5160, 5631033725073049, 43533665, 40279680, 1313941673526, 356995142748721], 'label': '46448640.a.7560.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.bw1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BX', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829424
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [7702, -1, 6475, -1], 'generators': [1367677410480, 6227383806, 2263772100021529, 356995142748840, 6227025966, 357001369769527, 362886, 40279680, 6384314171329505, 1313941673526, 2262504704946497, 5632401495196096], 'label': '46448640.a.7560.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '7560.bx1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BY', 'subgroup_fusion': None, 'weyl_group': '3072.sh'}
  • id: 66829425
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [6838, -1, 6324, -1], 'generators': [356995142748840, 6227383680, 769978395216409, 86874658264, 357001333096750, 363000, 1321129567150, 5160, 40279680, 5276660158816855, 1313941673526, 356995142748721], 'label': '46448640.a.7560.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.by1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.BZ', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829426
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [2333, -1, 5539, -1], 'generators': [356995142748840, 6227383680, 769978395216409, 357001333096750, 357082016671031, 363000, 1321129567150, 5160, 5631033725073049, 40279680, 1313941673526, 356995142748721], 'label': '46448640.a.7560.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.bz1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CA', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829427
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [6441, -1, 6255, -1], 'generators': [356995142748840, 6227383680, 769978395216409, 86874658264, 357001333096750, 363000, 1321129567150, 5160, 5631033725073049, 40279680, 1313941673526, 356995142748721], 'label': '46448640.a.7560.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.ca1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CB', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829428
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [1426, -1, 5382, -1], 'generators': [126, 357008903613655, 357001369406641, 1313902563719, 357001369406760, 5276667383741089, 1313941310640, 39916806, 355754616952729, 2262524301285414, 368046, 6227020806], 'label': '46448640.a.7560.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BD', 'old_label': '7560.cb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CC', 'subgroup_fusion': None, 'weyl_group': '1536.408634200'}
  • id: 66829429
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '756.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 378, 'diagramx': [173, -1, 515, -1], 'generators': [355693830473815, 6388357727376592, 357001369769646, 363000, 1313941673526, 753226662989208, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.756.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '756.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.H', 'subgroup_fusion': None, 'weyl_group': '30720.dq'}
  • id: 66829430
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [665, -1, 5249, -1], 'generators': [6227383806, 2263772100021529, 356995142748840, 6227025966, 5275400205986057, 355741164558846, 357001369769527, 362886, 40279680, 2619505994509582, 6384314171329505, 1313941673526], 'label': '46448640.a.7560.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '7560.cc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CD', 'subgroup_fusion': None, 'weyl_group': '3072.sh'}
  • id: 66829431
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [7144, -1, 6378, -1], 'generators': [126, 357008903613655, 357001369406641, 1313902563719, 357001369406760, 5276667383741089, 1313941310640, 39916806, 1381050696535, 2262524301285414, 368046, 6227020806], 'label': '46448640.a.7560.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BD', 'old_label': '7560.cd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CE', 'subgroup_fusion': None, 'weyl_group': '1536.408634200'}
  • id: 66829432
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [5509, -1, 6093, -1], 'generators': [356995142748840, 6227383680, 769978395216409, 357082016671031, 363000, 1321129567150, 5160, 43533665, 40279680, 5276660158816855, 1313941673526, 356995142748721], 'label': '46448640.a.7560.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.ce1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CF', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829433
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [8004, -1, 6528, -1], 'generators': [1367677410480, 6227383806, 2263772100021529, 356995142748840, 6385615658951470, 6227025966, 357001369769527, 362886, 40279680, 1313941673526, 2262504704946497, 5632401495196096], 'label': '46448640.a.7560.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '7560.cf1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CG', 'subgroup_fusion': None, 'weyl_group': '3072.sh'}
  • id: 66829434
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [3953, -1, 5822, -1], 'generators': [356995142748840, 6227383680, 769978395216409, 86874658264, 363000, 1321129567150, 5160, 43533665, 40279680, 5276660158816855, 1313941673526, 356995142748721], 'label': '46448640.a.7560.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.cg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CH', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829435
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [1285, -1, 5357, -1], 'generators': [126, 357008903613655, 357001369406641, 357001369406760, 5276667383741089, 1313941310640, 355687468819792, 39916806, 355754616952729, 2262524301285414, 368046, 6227020806], 'label': '46448640.a.7560.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BD', 'old_label': '7560.ch1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CI', 'subgroup_fusion': None, 'weyl_group': '1536.408634200'}
  • id: 66829436
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [50, -1, 5142, -1], 'generators': [1307714289846, 356995104116536, 4124592813231665, 304000561, 363000, 6227388840, 39916806, 6354029095, 357001369769646, 1509236844589871, 356995142385847, 6028607017411624], 'label': '46448640.a.7560.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.P', 'old_label': '7560.ci1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CJ', 'subgroup_fusion': None, 'weyl_group': '1536.408626277'}
  • id: 66829437
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [2061, -1, 5492, -1], 'generators': [1307714289846, 4124592813231665, 304000561, 41564177, 363000, 6227388840, 39916806, 6354029095, 357001369769646, 1509236844589871, 356995142385847, 6028607017411624], 'label': '46448640.a.7560.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.P', 'old_label': '7560.cj1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829438
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [4306, -1, 5884, -1], 'generators': [1307714289846, 357001331137342, 4124592813231665, 363000, 356995406459646, 6227388840, 39916806, 6354029095, 357001369769646, 1509236844589871, 356995142385847, 6028607017411624], 'label': '46448640.a.7560.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.U', 'old_label': '7560.ck1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829439
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [2259, -1, 5527, -1], 'generators': [1307714289846, 4124592813231665, 6268584983, 363000, 356995406459646, 6227388840, 39916806, 6354029095, 357001369769646, 1509236844589871, 356995142385847, 6028607017411624], 'label': '46448640.a.7560.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.U', 'old_label': '7560.cl1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CM', 'subgroup_fusion': None, 'weyl_group': '1536.408626277'}
  • id: 66829440
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '840.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 840, 'diagramx': [58, -1, 583, -1], 'generators': [1513327956964417, 355707067547814, 363000, 86740392551, 4879134375511081, 5160, 357001369769527, 362886, 40279680, 357001369769646, 357001370231328, 1313941673526, 1122876157547526, 6227020806], 'label': '46448640.a.840.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '840.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840.A', 'subgroup_fusion': None, 'weyl_group': '27648.cw'}
  • id: 66829441
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [7860, -1, 6503, -1], 'generators': [6227383806, 356995142748840, 6227383680, 357001333096750, 1307714652720, 355707070404065, 357082016671031, 5160, 357001369769527, 40279680, 1126967310218455, 5276660158816855], 'label': '46448640.a.7560.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.cm1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CN', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829442
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [4233, -1, 5871, -1], 'generators': [6385608386450345, 1307714652720, 6227025966, 363000, 3770213099788384, 362886, 1510538251662430, 40279680, 357001369769646, 1308025538329, 261671736, 356995142748721], 'label': '46448640.a.7560.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.cn1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829443
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [7780, -1, 6489, -1], 'generators': [6385608386450345, 1307714652720, 6227025966, 363000, 3770213099788384, 362886, 1510538251662430, 40279680, 357001369769646, 1308025538329, 6488692416, 356995142748721], 'label': '46448640.a.7560.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.co1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829444
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [5294, -1, 6055, -1], 'generators': [6385608386450345, 1307714652720, 6227025966, 363000, 356995406459646, 3770213099788384, 127008415, 362886, 1510538251662430, 40279680, 357001369769646, 356995142748721], 'label': '46448640.a.7560.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.cp1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829445
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [973, -1, 5302, -1], 'generators': [3770219326809190, 356995142748840, 6384294445512550, 355694045845975, 6227025966, 363000, 357001369769527, 362886, 40279680, 1864924272690785, 1313941673526, 6488692416], 'label': '46448640.a.7560.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.cq1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829446
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [7211, -1, 6390, -1], 'generators': [3770219326809190, 356995142748840, 6384294445512550, 355694045845975, 6227025966, 363000, 356995403689663, 357001369769527, 362886, 40279680, 1864924272690785, 1313941673526], 'label': '46448640.a.7560.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.cr1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829447
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [7088, -1, 6368, -1], 'generators': [3770219326809190, 356995142748840, 6384294445512550, 6227025966, 363000, 356995406459646, 357001369769527, 362886, 6354029095, 40279680, 1864924272690785, 1313941673526], 'label': '46448640.a.7560.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.cs1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829448
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [3740, -1, 5785, -1], 'generators': [6227383806, 356995142748840, 6227383680, 1307714652720, 355707070404065, 357082016671031, 5160, 5631033725073049, 357001369769527, 43533665, 40279680, 1126967310218455], 'label': '46448640.a.7560.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.ct1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CU', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829449
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [7933, -1, 6515, -1], 'generators': [357008903613655, 357001369406641, 363000, 357001369406760, 5276667383741089, 355687468819792, 39916806, 5160, 1381050696535, 2262524301285414, 1313941673526, 6227020806], 'label': '46448640.a.7560.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.cu1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829450
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [6567, -1, 6277, -1], 'generators': [1313902563719, 363000, 1313941310640, 39916806, 5160, 5632354811474209, 20028165529, 357001369769527, 357001369769646, 355760843978569, 2619513217013448, 6227020806], 'label': '46448640.a.7560.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.cv1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829451
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '840.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 840, 'diagramx': [131, -1, 596, -1], 'generators': [372458712758383, 363000, 369676626657967, 358483711621975, 5160, 4534619488393537, 357001369769527, 362886, 304416415, 6038316771747136, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.840.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.B', 'old_label': '840.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840.B', 'subgroup_fusion': None, 'weyl_group': '55296.i'}
  • id: 66829452
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [1491, -1, 5393, -1], 'generators': [6227383806, 356995142748840, 6227383680, 86874658264, 357001333096750, 1307714652720, 355707070404065, 5160, 357001369769527, 40279680, 1126967310218455, 5276660158816855], 'label': '46448640.a.7560.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.cw1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CX', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829453
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [4095, -1, 5846, -1], 'generators': [6385608386450345, 1307714652720, 6227025966, 363000, 356995406459646, 3770213099788384, 362886, 6354029095, 1510538251662430, 40279680, 357001369769646, 356995142748721], 'label': '46448640.a.7560.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '630.E', 'old_label': '7560.cx1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829454
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [2121, -1, 5503, -1], 'generators': [3770219326809190, 356995142748840, 6384294445512550, 6227025966, 363000, 6490741680, 357001369769527, 362886, 6354029095, 40279680, 1864924272690785, 1313941673526], 'label': '46448640.a.7560.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '630.E', 'old_label': '7560.cy1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829455
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [2398, -1, 5551, -1], 'generators': [3372720548600880, 6227383680, 6227025966, 363000, 1509237155099214, 6267300486, 3372680401953863, 4877846474837182, 4877840461570697, 357001369769646, 1313941673526, 356995142748721], 'label': '46448640.a.7560.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '630.E', 'old_label': '7560.cz1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829456
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [3282, -1, 5705, -1], 'generators': [6227383806, 356995142748840, 6227383680, 86874658264, 1307714652720, 355707070404065, 5160, 5631033725073049, 357001369769527, 43533665, 40279680, 1126967310218455], 'label': '46448640.a.7560.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.da1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DB', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829457
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [2946, -1, 5646, -1], 'generators': [6227383806, 356995142748840, 6227383680, 1307714652720, 355707070404065, 357082016671031, 5160, 357001369769527, 43533665, 40279680, 1126967310218455, 5276660158816855], 'label': '46448640.a.7560.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.db1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DC', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829458
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [1220, -1, 5346, -1], 'generators': [357008903613655, 357001369406641, 1313902563719, 363000, 357001369406760, 5276667383741089, 39916806, 5160, 355754616952729, 2262524301285414, 1313941673526, 6227020806], 'label': '46448640.a.7560.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BD', 'old_label': '7560.dc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DD', 'subgroup_fusion': None, 'weyl_group': '1536.408634200'}
  • id: 66829459
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [132, -1, 5156, -1], 'generators': [6227383806, 356995142748840, 6227383680, 86874658264, 1307714652720, 355707070404065, 5160, 357001369769527, 43533665, 40279680, 1126967310218455, 5276660158816855], 'label': '46448640.a.7560.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.dd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DE', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829460
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [1156, -1, 5334, -1], 'generators': [363000, 1313941310640, 39916806, 5160, 5632354811474209, 20028165529, 357001369769527, 1313902558673, 357001369769646, 355760843978569, 2619513217013448, 6227020806], 'label': '46448640.a.7560.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BD', 'old_label': '7560.de1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DF', 'subgroup_fusion': None, 'weyl_group': '1536.408634200'}
  • id: 66829461
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [8150, -1, 6553, -1], 'generators': [6227383806, 356995142748840, 6227383680, 357001333096750, 1307714652720, 355707070404065, 357082016671031, 5160, 5631033725073049, 357001369769527, 40279680, 1126967310218455], 'label': '46448640.a.7560.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.df1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DG', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829462
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '72.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [127, -1, 47, -1], 'generators': [355687819994862, 3014276593299966, 357001369769646, 6267300486, 363000, 1313941673526, 357001369769527, 5160, 6227383680], 'label': '46448640.a.72.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '72.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.B', 'subgroup_fusion': None, 'weyl_group': '645120.a'}
  • id: 66829463
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '945.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1890, 'diagramx': None, 'generators': [362587965097384, 16765146714936, 4103996618743, 368227386369353, 366893188704719, 363000, 5160, 357001369769527, 362886, 1340852491728, 40279680, 357001369769646, 9677140668737, 1313941673526, 6227020806], 'label': '46448640.a.945.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '945.aB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '945.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829464
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [726, -1, 5260, -1], 'generators': [6227383806, 356995142748840, 6227383680, 86874658264, 357001333096750, 1307714652720, 355707070404065, 5160, 5631033725073049, 357001369769527, 40279680, 1126967310218455], 'label': '46448640.a.7560.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.dg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DH', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829465
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [2187, -1, 5514, -1], 'generators': [357008903613655, 357001369406641, 363000, 357001369406760, 5276667383741089, 355687468819792, 39916806, 5160, 355754616952729, 2262524301285414, 1313941673526, 6227020806], 'label': '46448640.a.7560.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.dh1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829466
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [5152, -1, 6031, -1], 'generators': [1313902563719, 363000, 1313941310640, 39916806, 5160, 5632354811474209, 20028165529, 357001369769527, 355754616952729, 357001369769646, 2619513217013448, 6227020806], 'label': '46448640.a.7560.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.di1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829467
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [1561, -1, 5405, -1], 'generators': [2619505994514502, 1367677410480, 6227383806, 1307714652720, 6227025966, 2263778327047369, 362886, 40279680, 357001369769646, 6384314171324585, 5632401495196096, 356995142748721], 'label': '46448640.a.7560.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '7560.dj1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DK', 'subgroup_fusion': None, 'weyl_group': '3072.sh'}
  • id: 66829468
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [2665, -1, 5597, -1], 'generators': [1321129567031, 86914574944, 357001369406767, 1313941310766, 5160, 43528624, 769978394853409, 362886, 40279680, 357001369769646, 5276660158816855, 6227020806], 'label': '46448640.a.7560.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.dk1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DL', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829469
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [6631, -1, 6289, -1], 'generators': [126, 1313902563719, 39916806, 5632354811474209, 20028165529, 357001369769527, 357001369769646, 355760843978569, 2619513217013448, 1313941673526, 368046, 6227020806], 'label': '46448640.a.7560.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BD', 'old_label': '7560.dl1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DM', 'subgroup_fusion': None, 'weyl_group': '1536.408634200'}
  • id: 66829470
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [7350, -1, 6414, -1], 'generators': [1321129567031, 86914574944, 357001369406767, 5276660158448935, 1313941310766, 5160, 769978394853409, 362886, 43533665, 40279680, 357001369769646, 6227020806], 'label': '46448640.a.7560.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.dm1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DN', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829471
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [418, -1, 5206, -1], 'generators': [1321129567031, 86874658264, 357001369406767, 1313941310766, 5160, 43528624, 769978394853409, 362886, 40279680, 357001369769646, 5276660158816855, 6227020806], 'label': '46448640.a.7560.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.dn1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DO', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829472
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [549, -1, 5229, -1], 'generators': [6227383806, 1307714652720, 6227025966, 5276714067100216, 1367677405560, 2263778327047369, 362886, 40279680, 2619505994509582, 357001369769646, 6384314171329505, 356995142748721], 'label': '46448640.a.7560.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '7560.do1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DP', 'subgroup_fusion': None, 'weyl_group': '3072.sh'}
  • id: 66829473
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [1751, -1, 5438, -1], 'generators': [1321129567031, 86874658264, 357001369406767, 5276660158448935, 1313941310766, 5160, 769978394853409, 362886, 43533665, 40279680, 357001369769646, 6227020806], 'label': '46448640.a.7560.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.dp1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DQ', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829474
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '945.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 945, 'diagramx': None, 'generators': [16765146714936, 4103996618743, 18086579073216, 366893188704719, 372493070611176, 363000, 362581090502088, 9730740067343, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.945.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.B', 'old_label': '945.aC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '945.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829475
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [2524, -1, 5573, -1], 'generators': [1321129567031, 86914574944, 357001369406767, 1313941310766, 5160, 769978394853409, 362886, 43533665, 40279680, 357001369769646, 5276660158816855, 6227020806], 'label': '46448640.a.7560.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.dq1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DR', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829476
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [3104, -1, 5674, -1], 'generators': [1321129567031, 86874658264, 357001369406767, 1313941310766, 5160, 769978394853409, 362886, 43533665, 40279680, 357001369769646, 5276660158816855, 6227020806], 'label': '46448640.a.7560.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.dr1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DS', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829477
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [5588, -1, 6107, -1], 'generators': [126, 39916806, 5632354811474209, 20028165529, 357001369769527, 1313902558673, 357001369769646, 355760843978569, 2619513217013448, 1313941673526, 368046, 6227020806], 'label': '46448640.a.7560.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BD', 'old_label': '7560.ds1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DT', 'subgroup_fusion': None, 'weyl_group': '1536.408634200'}
  • id: 66829478
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [7633, -1, 6463, -1], 'generators': [2619505994514502, 1367677410480, 6227383806, 1307714652720, 6227025966, 2263778327047369, 362886, 40279680, 357001369769646, 6384314171329505, 5632401495196096, 356995142748721], 'label': '46448640.a.7560.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '7560.dt1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DU', 'subgroup_fusion': None, 'weyl_group': '3072.sh'}
  • id: 66829479
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [3819, -1, 5799, -1], 'generators': [126, 39916806, 5632354811474209, 20028165529, 357001369769527, 355754616952729, 1313902558673, 357001369769646, 2619513217013448, 1313941673526, 368046, 6227020806], 'label': '46448640.a.7560.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BD', 'old_label': '7560.du1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DV', 'subgroup_fusion': None, 'weyl_group': '1536.408634200'}
  • id: 66829480
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [2801, -1, 5621, -1], 'generators': [6227383806, 1307714652720, 6227025966, 5276714067100216, 1367677405560, 2263778327047369, 362886, 40279680, 2619505994509582, 357001369769646, 6384314171324585, 356995142748721], 'label': '46448640.a.7560.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '7560.dv1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DW', 'subgroup_fusion': None, 'weyl_group': '3072.sh'}
  • id: 66829481
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [5424, -1, 6078, -1], 'generators': [1321129567031, 86914574944, 357001369406767, 5276660158448935, 1313941310766, 5160, 43528624, 769978394853409, 362886, 40279680, 357001369769646, 6227020806], 'label': '46448640.a.7560.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.dw1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DX', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829482
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [3193, -1, 5689, -1], 'generators': [1321129567031, 86874658264, 357001369406767, 5276660158448935, 1313941310766, 5160, 43528624, 769978394853409, 362886, 40279680, 357001369769646, 6227020806], 'label': '46448640.a.7560.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.dx1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DY', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829483
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3780, 'diagramx': [5993, -1, 6177, -1], 'generators': [126, 1313902563719, 39916806, 5632354811474209, 20028165529, 357001369769527, 355754616952729, 357001369769646, 2619513217013448, 1313941673526, 368046, 6227020806], 'label': '46448640.a.7560.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BD', 'old_label': '7560.dy1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.DZ', 'subgroup_fusion': None, 'weyl_group': '1536.408634200'}
  • id: 66829484
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 3780, 'diagramx': [1355, -1, 5369, -1], 'generators': [769978395216409, 363000, 1321129567150, 5160, 357001369769527, 362886, 43533665, 40279680, 357001369769646, 5631107187681223, 1313941673526, 6227020806], 'label': '46448640.a.7560.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.dz1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EA', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829485
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [550, -1, 694, -1], 'generators': [20916259677936, 356995405278721, 367920, 40284840, 362886, 1313941668606, 5041, 6227020806], 'label': '46448640.a.1008.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '1008.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.A', 'subgroup_fusion': None, 'weyl_group': '46080.y'}
  • id: 66829486
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 3780, 'diagramx': [3025, -1, 5660, -1], 'generators': [2263772100021529, 3770213321140439, 363000, 5160, 2619459531336670, 357001369769527, 362886, 40279680, 357001369769646, 6384314171329505, 1313941673526, 6227020806], 'label': '46448640.a.7560.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '7560.ea1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EB', 'subgroup_fusion': None, 'weyl_group': '3072.sh'}
  • id: 66829487
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 7560, 'diagramx': [488, -1, 5218, -1], 'generators': [4097816323504, 6392616005249272, 363000, 5160, 3016993011355744, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 3388137519537064, 6227020806], 'label': '46448640.a.7560.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7560.EC', 'old_label': '7560.eb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829488
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 3780, 'diagramx': [4618, -1, 5938, -1], 'generators': [769978395216409, 363000, 1321129567150, 5160, 357001369769527, 362886, 40279680, 355768114855271, 357001369769646, 5276660158816855, 1313941673526, 6227020806], 'label': '46448640.a.7560.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.ec1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.ED', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829489
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1890, 'diagramx': [1945, -1, 5472, -1], 'generators': [1313902563719, 363000, 5276667383741089, 5160, 357001369769527, 362886, 19988611609, 40279680, 357001369769646, 2619513217013448, 1313941673526, 6227020806], 'label': '46448640.a.7560.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1890.J', 'old_label': '7560.ed1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829490
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 3780, 'diagramx': [5720, -1, 6130, -1], 'generators': [769978395216409, 86874658264, 363000, 1321129567150, 5160, 357001369769527, 362886, 43533665, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.7560.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.ee1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EF', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829491
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 3780, 'diagramx': [6143, -1, 6203, -1], 'generators': [1367677410480, 2263772100021529, 363000, 5160, 357001369769527, 362886, 40279680, 2619505994509582, 357001369769646, 1313941673526, 5632401495196096, 6227020806], 'label': '46448640.a.7560.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BB', 'old_label': '7560.ef1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EG', 'subgroup_fusion': None, 'weyl_group': '7776.eb'}
  • id: 66829492
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 7560, 'diagramx': [4024, -1, 5834, -1], 'generators': [6029947869926392, 3770213321140439, 363000, 5160, 357001369769527, 362886, 355754576608975, 40279680, 357001369769646, 3770240144837616, 1313941673526, 6227020806], 'label': '46448640.a.7560.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BA', 'old_label': '7560.eg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EH', 'subgroup_fusion': None, 'weyl_group': '4320.bg'}
  • id: 66829493
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1260, 'diagramx': [2595, -1, 5585, -1], 'generators': [769978395216409, 86874658264, 363000, 1321129567150, 5160, 357001369769527, 362886, 40279680, 357001369769646, 5276660158816855, 1313941673526, 6227020806], 'label': '46448640.a.7560.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '7560.eh1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EI', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829494
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 3780, 'diagramx': [4385, -1, 5897, -1], 'generators': [769978395216409, 363000, 1321129567150, 5160, 357001369769527, 362886, 40279680, 355768114855271, 357001369769646, 5631107187681223, 1313941673526, 6227020806], 'label': '46448640.a.7560.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.ei1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EJ', 'subgroup_fusion': None, 'weyl_group': '3072.bhj'}
  • id: 66829495
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 3780, 'diagramx': [4530, -1, 5922, -1], 'generators': [355767988665599, 1354440326520, 1347998763017, 363000, 4877813162448121, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.7560.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BC', 'old_label': '7560.ej1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EK', 'subgroup_fusion': None, 'weyl_group': '1536.408616173'}
  • id: 66829496
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [501, -1, 685, -1], 'generators': [20916259677936, 6227020806, 367920, 5041, 1313941668606, 362886, 6490286767, 40284840], 'label': '46448640.a.1008.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '1008.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.B', 'subgroup_fusion': None, 'weyl_group': '46080.y'}
  • id: 66829497
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1260, 'diagramx': [1676, -1, 5425, -1], 'generators': [357014781814457, 355747344035760, 363000, 1321086792241, 5160, 357001369769527, 362886, 40279680, 357001369769646, 60178382766, 1313941673526, 6227020806], 'label': '46448640.a.7560.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '7560.ek1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EL', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829498
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 7560, 'diagramx': None, 'generators': [1388624008918, 4523447296574945, 67537596103, 363000, 4523493498842280, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.7560.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7560.EM', 'old_label': '7560.elB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EM', 'subgroup_fusion': None, 'weyl_group': '768.1090070'}
  • id: 66829499
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1260, 'diagramx': None, 'generators': [357014781814457, 67537596103, 363000, 1321086792241, 5160, 357001369769527, 362886, 40279680, 357001369769646, 40499060998, 1313941673526, 6227020806], 'label': '46448640.a.7560.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '7560.elC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829500
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1260, 'diagramx': [1100, -1, 5325, -1], 'generators': [1509230580859865, 363000, 357001681461696, 5160, 357001369769527, 362886, 43533665, 40279680, 1863442241700486, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.7560.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '7560.em1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EO', 'subgroup_fusion': None, 'weyl_group': '4608.hp'}
  • id: 66829501
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 7560, 'diagramx': [342, -1, 5193, -1], 'generators': [1866239395747223, 363000, 5160, 3015718349800912, 357001369769527, 362886, 40279680, 2619505994509582, 357001369769646, 1313941673526, 5632401495196096, 6227020806], 'label': '46448640.a.7560.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7560.EP', 'old_label': '7560.en1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EP', 'subgroup_fusion': None, 'weyl_group': '5000.ds'}
  • id: 66829502
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.EQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 7560, 'diagramx': [905, -1, 5291, -1], 'generators': [1866232170471721, 363000, 5160, 6385602246520913, 357001369769527, 362886, 40279680, 2619505994509582, 357001369769646, 1313941673526, 5632401495196096, 6227020806], 'label': '46448640.a.7560.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BA', 'old_label': '7560.eo1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.EQ', 'subgroup_fusion': None, 'weyl_group': '6144.pz'}
  • id: 66829503
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '7560.ER', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 7560, 'diagramx': [1618, -1, 5415, -1], 'generators': [363000, 1509277303296415, 5160, 357001369769527, 362886, 3372713450634239, 40279680, 357001369769646, 3770240144837616, 6384314171329505, 1313941673526, 6227020806], 'label': '46448640.a.7560.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3780.BA', 'old_label': '7560.ep1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7560.ER', 'subgroup_fusion': None, 'weyl_group': '6144.pz'}
  • id: 66829504
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8064.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [46, -1, 6566, -1], 'generators': [6227020806, 355687428458880, 355687428096001, 355687603096321, 362886, 355774390295328, 5631060770870695, 40284840], 'label': '46448640.a.8064.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '8064.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.A', 'subgroup_fusion': None, 'weyl_group': '1920.240996'}
  • id: 66829505
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8064.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [567, -1, 6657, -1], 'generators': [4522192969195576, 357001369406767, 176601888, 362886, 1307674730880], 'label': '46448640.a.8064.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.B', 'old_label': '8064.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.B', 'subgroup_fusion': None, 'weyl_group': '1440.5842'}
  • id: 66829506
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8064.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [496, -1, 6645, -1], 'generators': [5160, 176607048, 357001369769527, 3372733829238353, 39916920, 357001544764927, 1307674373040], 'label': '46448640.a.8064.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.C', 'old_label': '8064.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.C', 'subgroup_fusion': None, 'weyl_group': '1440.5847'}
  • id: 66829507
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [164, -1, 627, -1], 'generators': [20916259677936, 6227020806, 367920, 5041, 356995365361920, 1313941668606, 362886, 40284840], 'label': '46448640.a.1008.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '1008.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.C', 'subgroup_fusion': None, 'weyl_group': '46080.y'}
  • id: 66829508
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8064.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [112, -1, 6578, -1], 'generators': [87002479128, 357001504490167, 5276681016779935, 357001369769646, 1313941310766, 362886, 357001369406767, 6227020806], 'label': '46448640.a.8064.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '8064.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.D', 'subgroup_fusion': None, 'weyl_group': '1920.240996'}
  • id: 66829509
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8064.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [439, -1, 6635, -1], 'generators': [6227020806, 6039745107016177, 18065633241888, 5046, 4097379709734, 12539958681888, 3385334616617646, 1313901393846], 'label': '46448640.a.8064.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.E', 'old_label': '8064.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829510
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8064.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': None, 'generators': [6227020806, 355687428458880, 355687428096001, 355687603096321, 362886, 216523854, 3371432381896318], 'label': '46448640.a.8064.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '8064.fB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.F', 'subgroup_fusion': None, 'weyl_group': '5760.cm'}
  • id: 66829515
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8064.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [180, -1, 6590, -1], 'generators': [5276687243805775, 6227020806, 357001329847687, 355687643018161, 362886, 355774430217168, 1313901751686, 357001329484806], 'label': '46448640.a.8064.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.J', 'old_label': '8064.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.K', 'subgroup_fusion': None, 'weyl_group': '1920.240996'}
  • id: 66829516
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8640.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 8640, 'diagramx': [230, -1, 6701, -1], 'generators': [6227020806, 357001329484927, 2262464425278727, 40284726, 772761874325056, 357001369764486, 1313941305720], 'label': '46448640.a.8640.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8640.A', 'old_label': '8640.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8640.A', 'subgroup_fusion': None, 'weyl_group': '1344.11686'}
  • id: 66829517
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8640.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 8640, 'diagramx': [296, -1, 6713, -1], 'generators': [6227020806, 1128455568990863, 357001329484927, 2262464465200567, 40284726, 357001369764486, 1313941305720], 'label': '46448640.a.8640.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8640.B', 'old_label': '8640.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8640.B', 'subgroup_fusion': None, 'weyl_group': '1344.814'}
  • id: 66829518
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [985, -1, 770, -1], 'generators': [20916259677936, 6227020806, 367920, 6530203566, 5041, 1313941668606, 362886, 40284840], 'label': '46448640.a.1008.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '1008.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.D', 'subgroup_fusion': None, 'weyl_group': '46080.y'}
  • id: 66829519
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8640.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4320, 'diagramx': [163, -1, 6690, -1], 'generators': [6396788067679432, 5629592018171497, 6046672689757439, 357001369769646, 40284840, 362886, 1313941668606, 367920, 357001369764607, 6227020806], 'label': '46448640.a.8640.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4320.A', 'old_label': '8640.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8640.C', 'subgroup_fusion': None, 'weyl_group': '40000.bb'}
  • id: 66829520
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8640.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4320, 'diagramx': [41, -1, 6669, -1], 'generators': [5629592018171497, 6046672689757439, 357001369769646, 40284840, 362886, 1313941668606, 6395480353394632, 367920, 357001369764607, 6227020806], 'label': '46448640.a.8640.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4320.A', 'old_label': '8640.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8640.D', 'subgroup_fusion': None, 'weyl_group': '40000.bb'}
  • id: 66829521
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8640.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 4320, 'diagramx': [100, -1, 6679, -1], 'generators': [4879121271902950, 3382544565808991, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.8640.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4320.A', 'old_label': '8640.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8640.E', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 66829522
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '8960.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4480, 'diagramx': [46, -1, 6725, -1], 'generators': [772761913435750, 6227383806, 6227025966, 355687428096001, 6227383680, 1314163485649, 26911987200, 356995142748840, 4893069710995063, 6267300486], 'label': '46448640.a.8960.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4480.a1', 'old_label': '8960.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8960.a1', 'subgroup_fusion': None, 'weyl_group': '10368.bf'}
  • id: 66829523
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4536, 'diagramx': [1713, -1, 7027, -1], 'generators': [1314380373719, 357001678235950, 4097419982640, 357001369769646, 40279680, 1313941310766, 3016999114600902, 357001369406767, 368207747717046, 5160, 362886], 'label': '46448640.a.9072.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4536.C', 'old_label': '9072.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.A', 'subgroup_fusion': None, 'weyl_group': '2560.bj'}
  • id: 66829524
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4536, 'diagramx': [1490, -1, 6988, -1], 'generators': [6575408945, 1314380373719, 4097419982640, 357001369769646, 40279680, 1313941310766, 3016999114600902, 357001369406767, 368207747717046, 5160, 362886], 'label': '46448640.a.9072.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4536.C', 'old_label': '9072.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.B', 'subgroup_fusion': None, 'weyl_group': '5120.gj'}
  • id: 66829525
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4536, 'diagramx': [1180, -1, 6934, -1], 'generators': [388304945, 1314380373719, 359791034819881, 357001369769646, 1313941310766, 3016999114600902, 357001369406767, 368207747717046, 40279680, 5160, 362886], 'label': '46448640.a.9072.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4536.D', 'old_label': '9072.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.C', 'subgroup_fusion': None, 'weyl_group': '2560.bj'}
  • id: 66829526
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4536, 'diagramx': [332, -1, 6786, -1], 'generators': [1314380373719, 356995491131950, 359791034819881, 357001369769646, 1313941310766, 3016999114600902, 357001369406767, 368207747717046, 40279680, 5160, 362886], 'label': '46448640.a.9072.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4536.D', 'old_label': '9072.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.D', 'subgroup_fusion': None, 'weyl_group': '5120.gj'}
  • id: 66829527
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2268, 'diagramx': [1260, -1, 6948, -1], 'generators': [6227383806, 358483360451887, 1307714652720, 3016992662979257, 5160, 6028567040586839, 362886, 368207747717160, 40279680, 357001369769646, 356995142748721], 'label': '46448640.a.9072.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '9072.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.E', 'subgroup_fusion': None, 'weyl_group': '10240.cg'}
  • id: 66829528
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [886, -1, 6883, -1], 'generators': [6227383806, 359791034819881, 1307714652720, 3016992662979257, 5160, 6028567040586839, 362886, 40279680, 357001369769646, 356995142748721, 368207747717046], 'label': '46448640.a.9072.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.E', 'old_label': '9072.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829529
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [743, -1, 728, -1], 'generators': [5160, 6227020806, 121, 361326714767992, 1313902223569, 356995365361920, 362886, 40279680, 1313941673526, 363000], 'label': '46448640.a.1008.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '1008.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.E', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829530
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4536, 'diagramx': [809, -1, 6869, -1], 'generators': [1307890447927, 376609955080913, 372432189842344, 1880254894314943, 357001369769646, 363000, 40279680, 357001369406641, 1313941310640, 5160, 6227020806], 'label': '46448640.a.9072.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4536.E', 'old_label': '9072.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.G', 'subgroup_fusion': None, 'weyl_group': '2560.bx'}
  • id: 66829531
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2268, 'diagramx': [1415, -1, 6975, -1], 'generators': [1880254894314943, 357001369406641, 1307890448041, 363000, 1313941310640, 5160, 40279680, 357001369769646, 376609955080913, 373739864573224, 6227020806], 'label': '46448640.a.9072.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '9072.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.H', 'subgroup_fusion': None, 'weyl_group': '5120.fw'}
  • id: 66829532
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2268, 'diagramx': [1033, -1, 6908, -1], 'generators': [1307890448041, 376609955080913, 372432189842344, 1880254894314943, 357001369769646, 363000, 40279680, 357001369406641, 1313941310640, 5160, 6227020806], 'label': '46448640.a.9072.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '9072.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.I', 'subgroup_fusion': None, 'weyl_group': '5120.fw'}
  • id: 66829533
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2268, 'diagramx': [259, -1, 6773, -1], 'generators': [1314380373719, 6227383806, 359791034819881, 1307714652720, 12520493814976, 3016999114600902, 5160, 362886, 40279680, 357001369769646, 356995142748721], 'label': '46448640.a.9072.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '9072.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.J', 'subgroup_fusion': None, 'weyl_group': '10240.cg'}
  • id: 66829534
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2268, 'diagramx': [1637, -1, 7013, -1], 'generators': [1314380373719, 6227383806, 359791034819881, 1307714652720, 3016999114600902, 5160, 12520533726736, 362886, 40279680, 357001369769646, 356995142748721], 'label': '46448640.a.9072.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '9072.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.K', 'subgroup_fusion': None, 'weyl_group': '10240.cg'}
  • id: 66829535
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2268, 'diagramx': [1341, -1, 6962, -1], 'generators': [6227383806, 358483360451887, 1307714652720, 5160, 6028567040586839, 362886, 368207747717160, 40279680, 357001369769646, 3016998890000056, 356995142748721], 'label': '46448640.a.9072.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '9072.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.L', 'subgroup_fusion': None, 'weyl_group': '10240.cg'}
  • id: 66829536
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [740, -1, 6857, -1], 'generators': [6028567040586839, 3016998890000056, 359791034819881, 357001369769646, 1307714652720, 356995142748721, 368207747717046, 6227383806, 40279680, 5160, 362886], 'label': '46448640.a.9072.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.E', 'old_label': '9072.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829537
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4536, 'diagramx': [52, -1, 6738, -1], 'generators': [6227383806, 358483360451887, 1307714652720, 3016999114600902, 5160, 12520533726736, 362886, 40279680, 357001369769646, 1308152990039, 356995142748721], 'label': '46448640.a.9072.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4536.F', 'old_label': '9072.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.N', 'subgroup_fusion': None, 'weyl_group': '5120.bp'}
  • id: 66829538
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4536, 'diagramx': [186, -1, 6761, -1], 'generators': [373739864573224, 1307890447927, 1878947220309823, 357001369769646, 363000, 368046, 357001369406641, 376603727697233, 39916806, 1313941310640, 6227020806], 'label': '46448640.a.9072.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4536.E', 'old_label': '9072.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.O', 'subgroup_fusion': None, 'weyl_group': '2560.bx'}
  • id: 66829539
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4536, 'diagramx': [1566, -1, 7001, -1], 'generators': [1307890447927, 372432189842344, 1878947220309823, 357001369769646, 363000, 368046, 357001369406641, 376603727697233, 39916806, 1313941310640, 6227020806], 'label': '46448640.a.9072.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4536.E', 'old_label': '9072.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.P', 'subgroup_fusion': None, 'weyl_group': '2560.bx'}
  • id: 66829540
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [791, -1, 736, -1], 'generators': [6940774293839, 6530203566, 1313902223569, 5160, 363000, 1313941673526, 40279680, 362886, 121, 6227020806], 'label': '46448640.a.1008.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '1008.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.F', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829541
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4536, 'diagramx': [489, -1, 6813, -1], 'generators': [1307890448041, 373739864573224, 1878947220309823, 357001369769646, 363000, 368046, 357001369406641, 376603727697233, 39916806, 1313941310640, 6227020806], 'label': '46448640.a.9072.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4536.E', 'old_label': '9072.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.Q', 'subgroup_fusion': None, 'weyl_group': '2560.bx'}
  • id: 66829542
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4536, 'diagramx': [1106, -1, 6921, -1], 'generators': [1307890448041, 372432189842344, 1878947220309823, 357001369769646, 363000, 368046, 357001369406641, 376603727697233, 39916806, 1313941310640, 6227020806], 'label': '46448640.a.9072.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4536.E', 'old_label': '9072.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.R', 'subgroup_fusion': None, 'weyl_group': '2560.bx'}
  • id: 66829543
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2268, 'diagramx': [660, -1, 6843, -1], 'generators': [363000, 5160, 6028567040586839, 362886, 357001369769527, 368207747717160, 40279680, 3019788555050182, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.9072.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '9072.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.S', 'subgroup_fusion': None, 'weyl_group': '10240.cg'}
  • id: 66829544
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 756, 'diagramx': [120, -1, 6750, -1], 'generators': [358483360451887, 363000, 5160, 6028567040586839, 362886, 357001369769527, 368207747717160, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.9072.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.E', 'old_label': '9072.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829545
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 4536, 'diagramx': [963, -1, 6896, -1], 'generators': [363000, 4877813289904680, 5160, 357001369769527, 362886, 40279680, 357001369769646, 3015738686021448, 1313941673526, 4125906755688839, 6227020806], 'label': '46448640.a.9072.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4536.E', 'old_label': '9072.u1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.U', 'subgroup_fusion': None, 'weyl_group': '1280.1116439'}
  • id: 66829546
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2268, 'diagramx': [406, -1, 6799, -1], 'generators': [1307890447927, 1510544479011257, 363000, 5160, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6045291640713593, 6227020806], 'label': '46448640.a.9072.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2268.a1', 'old_label': '9072.v1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.V', 'subgroup_fusion': None, 'weyl_group': '5120.fw'}
  • id: 66829547
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9072.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 4536, 'diagramx': [575, -1, 6828, -1], 'generators': [12520533726736, 4097858687872, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 3016999114600902, 5160, 6227020806], 'label': '46448640.a.9072.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4536.F', 'old_label': '9072.w1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9072.W', 'subgroup_fusion': None, 'weyl_group': '5120.bp'}
  • id: 66829548
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9216.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4608, 'diagramx': [106, -1, 7050, -1], 'generators': [357001369764607, 435467824, 4523500903617232], 'label': '46448640.a.9216.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4608.A', 'old_label': '9216.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9216.A', 'subgroup_fusion': None, 'weyl_group': '2520.a'}
  • id: 66829549
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9216.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [60, -1, 7042, -1], 'generators': [435830705, 4877880657345232, 1307674373040], 'label': '46448640.a.9216.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.A', 'old_label': '9216.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9216.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829550
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9216.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 4608, 'diagramx': [25, -1, 7036, -1], 'generators': [1987343, 5649079547035871], 'label': '46448640.a.9216.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4608.C', 'old_label': '9216.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9216.C', 'subgroup_fusion': None, 'weyl_group': '6048.bk'}
  • id: 66829551
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [34, -1, 604, -1], 'generators': [5160, 356995142748721, 366859704954936, 362886, 1307714652720, 376536539670478, 40279680, 356995142748840, 363000], 'label': '46448640.a.1008.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '1008.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.G', 'subgroup_fusion': None, 'weyl_group': '2916.ed'}
  • id: 66829552
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [8549, -1, 8542, -1], 'generators': [1314289687255, 11245696363744, 1313941668606, 6577828255, 6227025840, 6229838142, 5041, 2789705358305, 40364346670, 6267305646, 6314480214], 'label': '46448640.a.10080.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BR', 'old_label': '10080.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829553
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [4455, -1, 7828, -1], 'generators': [1314289687255, 356995144835137, 11245696363744, 1313941668606, 6577828255, 6227025840, 5041, 2789705358305, 40364346670, 6267305646, 6314480214], 'label': '46448640.a.10080.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BR', 'old_label': '10080.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829554
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [7351, -1, 8333, -1], 'generators': [1314289687255, 11245696363744, 1313941668606, 6227025840, 127376335, 5041, 2789705358305, 40364346670, 6267305646, 391087134, 356995144840297], 'label': '46448640.a.10080.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BS', 'old_label': '10080.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829555
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [5750, -1, 8054, -1], 'generators': [1314289687255, 11245696363744, 1313941668606, 6227025840, 127376335, 5041, 2789705358305, 40364346670, 6229843062, 6267305646, 391087134], 'label': '46448640.a.10080.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BS', 'old_label': '10080.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829556
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [7233, -1, 8312, -1], 'generators': [368167813131184, 356995142748721, 368167464403201, 1307714647800, 375235267651624, 5593259323865, 6227383680, 356995142743680, 33140188800, 363000, 40284840], 'label': '46448640.a.10080.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '10080.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829557
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [5691, -1, 8044, -1], 'generators': [11178549411247, 5593259323865, 375235267651624, 368167813131184, 356995142748721, 40284840, 363000, 33140188800, 356995142743680, 1307714647800, 6227383680], 'label': '46448640.a.10080.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '10080.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829558
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [7291, -1, 8323, -1], 'generators': [5593259323865, 375235267651624, 368167813131184, 356995142748721, 40284840, 363000, 33140188800, 356995142743680, 11178549048366, 1307714647800, 6227383680], 'label': '46448640.a.10080.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '10080.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.G', 'subgroup_fusion': None, 'weyl_group': '2304.hz'}
  • id: 66829559
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [5633, -1, 8033, -1], 'generators': [5593259323865, 375235267651624, 368167813131184, 356995142748721, 40284840, 363000, 33140188800, 356995142743680, 368167464766080, 1307714647800, 6227383680], 'label': '46448640.a.10080.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '10080.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829560
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [8899, -1, 8603, -1], 'generators': [8449936623785, 6662493671, 4157342795520, 53863464367, 121, 363000, 1313941673526, 355741164558727, 40279680, 6227025966, 6227383680], 'label': '46448640.a.10080.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.I', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829561
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [8836, -1, 8592, -1], 'generators': [6227383680, 8449936623785, 53863464367, 6227025966, 1361450389800, 363000, 40279680, 6662493671, 4157342795520, 121, 1313941673526], 'label': '46448640.a.10080.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.J', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829562
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [366, -1, 662, -1], 'generators': [5160, 6227383806, 356995142748721, 6041087139645670, 4875063955009504, 362886, 1307714652720, 40279680, 356995192349215, 356995142748840], 'label': '46448640.a.1008.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.H', 'old_label': '1008.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829563
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [902, -1, 7209, -1], 'generators': [8449936628824, 6662493671, 4157342795520, 53863464367, 121, 363000, 1313941673526, 355741164558727, 40279680, 6227025966, 6227383680], 'label': '46448640.a.10080.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.K', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829564
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [776, -1, 7187, -1], 'generators': [365451266476390, 6662493671, 4157342795520, 53863464367, 121, 363000, 1313941673526, 355741164558727, 40279680, 6227025966, 6227383680], 'label': '46448640.a.10080.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.L', 'subgroup_fusion': None, 'weyl_group': '4608.fk'}
  • id: 66829565
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [1090, -1, 7242, -1], 'generators': [6662493671, 4157342795520, 53863464367, 365451266471351, 121, 363000, 1313941673526, 355741164558727, 40279680, 6227025966, 6227383680], 'label': '46448640.a.10080.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.M', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829566
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [965, -1, 7220, -1], 'generators': [6227383680, 53863464367, 6227025966, 1361450389800, 363000, 40279680, 6662493671, 4157342795520, 121, 1313941673526, 8449936628824], 'label': '46448640.a.10080.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.N', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829567
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [839, -1, 7198, -1], 'generators': [6227383680, 53863464367, 6227025966, 1361450389800, 363000, 365451266476390, 40279680, 6662493671, 4157342795520, 121, 1313941673526], 'label': '46448640.a.10080.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.O', 'subgroup_fusion': None, 'weyl_group': '4608.fk'}
  • id: 66829568
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [1027, -1, 7231, -1], 'generators': [6227383680, 53863464367, 6227025966, 1361450389800, 363000, 365451266471351, 40279680, 6662493671, 4157342795520, 121, 1313941673526], 'label': '46448640.a.10080.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.P', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829569
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [7632, -1, 8382, -1], 'generators': [8449936623785, 6662493671, 4157342795520, 53863464367, 121, 363000, 1313941673526, 355741164563887, 40279680, 6227025966, 6227383680], 'label': '46448640.a.10080.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.Q', 'subgroup_fusion': None, 'weyl_group': '3456.cd'}
  • id: 66829570
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [3715, -1, 7699, -1], 'generators': [8449936628824, 6662493671, 4157342795520, 53863464367, 121, 363000, 1313941673526, 355741164563887, 40279680, 6227025966, 6227383680], 'label': '46448640.a.10080.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.R', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829571
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [3604, -1, 7680, -1], 'generators': [365451266476390, 6662493671, 4157342795520, 53863464367, 121, 363000, 1313941673526, 355741164563887, 40279680, 6227025966, 6227383680], 'label': '46448640.a.10080.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.S', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829572
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [3772, -1, 7709, -1], 'generators': [6662493671, 4157342795520, 53863464367, 365451266471351, 121, 363000, 1313941673526, 355741164563887, 40279680, 6227025966, 6227383680], 'label': '46448640.a.10080.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.T', 'subgroup_fusion': None, 'weyl_group': '4608.fk'}
  • id: 66829573
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '72.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 36, 'diagramx': [84, -1, 40, -1], 'generators': [357001631054640, 8436303567222, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.72.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '72.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.C', 'subgroup_fusion': None, 'weyl_group': '322560.b'}
  • id: 66829574
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [937, -1, 761, -1], 'generators': [6039785652739625, 356995192349215, 4520690468582111, 6227383806, 356995142748840, 1307714652720, 356995142748721, 40279680, 5160, 362886], 'label': '46448640.a.1008.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.H', 'old_label': '1008.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829575
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [7687, -1, 8391, -1], 'generators': [1361450384640, 6227383680, 8449936623785, 53863464367, 6227025966, 363000, 40279680, 6662493671, 4157342795520, 121, 1313941673526], 'label': '46448640.a.10080.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.u1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.U', 'subgroup_fusion': None, 'weyl_group': '4608.fk'}
  • id: 66829576
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [3660, -1, 7690, -1], 'generators': [1361450384640, 6227383680, 53863464367, 6227025966, 363000, 40279680, 6662493671, 4157342795520, 121, 1313941673526, 8449936628824], 'label': '46448640.a.10080.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.v1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.V', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829577
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [3549, -1, 7670, -1], 'generators': [1361450384640, 6227383680, 53863464367, 6227025966, 363000, 365451266476390, 40279680, 6662493671, 4157342795520, 121, 1313941673526], 'label': '46448640.a.10080.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.w1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.W', 'subgroup_fusion': None, 'weyl_group': '4608.fk'}
  • id: 66829578
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [3827, -1, 7719, -1], 'generators': [1361450384640, 6227383680, 53863464367, 6227025966, 363000, 365451266471351, 40279680, 6662493671, 4157342795520, 121, 1313941673526], 'label': '46448640.a.10080.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.x1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.X', 'subgroup_fusion': None, 'weyl_group': '4608.fk'}
  • id: 66829579
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [382, -1, 7118, -1], 'generators': [5593299240545, 376542942019504, 368167813131184, 5160, 363000, 356995142748840, 33140188800, 40279680, 1307714652720, 356995142748721, 6227383680], 'label': '46448640.a.10080.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '10080.y1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829580
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [9470, -1, 8702, -1], 'generators': [5160, 6227020806, 121, 435472865, 357048925643520, 355741164558727, 362886, 2843441406727, 40279680, 1313941673526, 363000], 'label': '46448640.a.10080.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CS', 'old_label': '10080.z1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.Z', 'subgroup_fusion': None, 'weyl_group': '1152.157851'}
  • id: 66829581
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [5920, -1, 8083, -1], 'generators': [8456203561385, 435472865, 2843441406727, 60090485166, 5160, 363000, 1313941673526, 40279680, 362886, 121, 6227020806], 'label': '46448640.a.10080.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.ba1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BA', 'subgroup_fusion': None, 'weyl_group': '4608.fk'}
  • id: 66829582
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [7520, -1, 8362, -1], 'generators': [365451266476390, 435472865, 2843441406727, 60090485166, 5160, 363000, 1313941673526, 40279680, 362886, 121, 6227020806], 'label': '46448640.a.10080.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.bb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BB', 'subgroup_fusion': None, 'weyl_group': '4608.fk'}
  • id: 66829583
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [661, -1, 7167, -1], 'generators': [20849413559465, 370963310031353, 1307803368240, 20849151819311, 356995142748721, 363000, 356995142748840, 40279680, 1307714652720, 5160, 362886], 'label': '46448640.a.10080.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.bc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BC', 'subgroup_fusion': None, 'weyl_group': '3200.go'}
  • id: 66829584
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [717, -1, 7177, -1], 'generators': [20849413559465, 13961940261838, 1307803368240, 20849151819311, 356995142748721, 363000, 356995142748840, 1307714652720, 40279680, 5160, 362886], 'label': '46448640.a.10080.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.bd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BD', 'subgroup_fusion': None, 'weyl_group': '3200.go'}
  • id: 66829585
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [647, -1, 711, -1], 'generators': [6227383806, 356995142748721, 6227025966, 6530203566, 361326714767992, 362886, 1307714652720, 355687469205535, 356995142748840, 6267300486], 'label': '46448640.a.1008.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '1008.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.J', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829586
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [9347, -1, 8681, -1], 'generators': [5160, 6227020806, 121, 60090485166, 435472865, 355741164558727, 362886, 2843441406727, 40279680, 1313941673526, 363000], 'label': '46448640.a.10080.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.be1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BE', 'subgroup_fusion': None, 'weyl_group': '3200.go'}
  • id: 66829587
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [9288, -1, 8670, -1], 'generators': [5160, 6227020806, 121, 60090485166, 435472865, 1367677410601, 362886, 2843441406727, 40279680, 1313941673526, 363000], 'label': '46448640.a.10080.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.bf1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BF', 'subgroup_fusion': None, 'weyl_group': '3200.go'}
  • id: 66829588
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [215, -1, 7089, -1], 'generators': [5160, 6227020806, 121, 435472865, 357048925643520, 362886, 2843441406727, 40279680, 365451266476390, 1313941673526, 363000], 'label': '46448640.a.10080.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CQ', 'old_label': '10080.bg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BG', 'subgroup_fusion': None, 'weyl_group': '2304.hr'}
  • id: 66829589
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [6569, -1, 8196, -1], 'generators': [355693696207937, 20849111551135, 2618138441681406, 13962026545943, 376542806947793, 357001369406760, 357001369406641, 1327354524726, 1307674735926, 126, 368046], 'label': '46448640.a.10080.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.bh1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BH', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829590
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [4569, -1, 7848, -1], 'generators': [20849111551135, 2618138441681406, 357001369406760, 126, 13962026545943, 1307674735926, 1307675174536, 357001369406641, 376542806947793, 368046, 355700840947320], 'label': '46448640.a.10080.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.bi1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BI', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829591
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [8040, -1, 8453, -1], 'generators': [355693696207937, 20849111551135, 2618138441681406, 13962026545943, 376542806947793, 357001369406760, 355700840947320, 357001369406641, 1307674735926, 126, 368046], 'label': '46448640.a.10080.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.bj1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BJ', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829592
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [6229, -1, 8137, -1], 'generators': [1307675174536, 20849111551135, 2618138441681406, 13962026545943, 376542806947793, 357001369406760, 357001369406641, 1327354524726, 1307674735926, 126, 368046], 'label': '46448640.a.10080.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.bk1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BK', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829593
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [2241, -1, 7442, -1], 'generators': [8449936623785, 357001765315630, 60090485166, 359844811176361, 356995142748721, 355741164558727, 357001369406760, 1313941673526, 6227020920, 40279680, 6227025966], 'label': '46448640.a.10080.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BM', 'old_label': '10080.bl1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BL', 'subgroup_fusion': None, 'weyl_group': '2304.ea'}
  • id: 66829594
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [2352, -1, 7462, -1], 'generators': [8449936623785, 355747391579526, 357001765315630, 60090485166, 359844811176361, 356995142748721, 1313941673526, 357001369406760, 6227020920, 40279680, 6227025966], 'label': '46448640.a.10080.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BM', 'old_label': '10080.bm1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BM', 'subgroup_fusion': None, 'weyl_group': '3200.go'}
  • id: 66829595
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [2297, -1, 7452, -1], 'generators': [8449936623785, 357001765315630, 359844811176361, 53863464367, 356995142748721, 1313941673526, 1367677410601, 357001369406760, 6227020920, 40279680, 6227025966], 'label': '46448640.a.10080.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BJ', 'old_label': '10080.bn1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BN', 'subgroup_fusion': None, 'weyl_group': '10368.bf'}
  • id: 66829596
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [695, -1, 719, -1], 'generators': [6227383806, 356995142748721, 6227025966, 356995365361920, 362886, 1307714652720, 355687469205535, 6940774293839, 356995142748840, 6267300486], 'label': '46448640.a.1008.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '1008.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.K', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829597
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [2408, -1, 7471, -1], 'generators': [8449936623785, 53863464367, 357001765315630, 6227025966, 1361450389800, 357001369406760, 359844811176361, 6227020920, 40279680, 1313941673526, 356995142748721], 'label': '46448640.a.10080.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BJ', 'old_label': '10080.bo1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BO', 'subgroup_fusion': None, 'weyl_group': '10368.bf'}
  • id: 66829598
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [6168, -1, 8127, -1], 'generators': [357001503667327, 1510544518923175, 4877819477003641, 73416240415, 1113005243750976, 355687428096120, 376542767474225, 367920, 357001369764607, 40279680, 6227020806], 'label': '46448640.a.10080.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.H', 'old_label': '10080.bp1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BP', 'subgroup_fusion': None, 'weyl_group': '4608.kq'}
  • id: 66829599
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [4010, -1, 7751, -1], 'generators': [367920, 357001369764607, 357001503667327, 355687428096120, 4877819477008566, 1510544518923175, 1113005243750976, 40279680, 19547665015271, 355754617320654, 6227020806], 'label': '46448640.a.10080.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.H', 'old_label': '10080.bq1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BQ', 'subgroup_fusion': None, 'weyl_group': '4608.kq'}
  • id: 66829600
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [2775, -1, 7535, -1], 'generators': [355687428096120, 6227020806, 357001369764607, 367920, 4879120964635446, 1864924232376655, 67189224655, 376536580738150, 357001503667327, 40279680, 756016408229736], 'label': '46448640.a.10080.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.I', 'old_label': '10080.br1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BR', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829601
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [9041, -1, 8627, -1], 'generators': [357001503667327, 1510544518923175, 4879120964635446, 376536580738150, 67189224655, 1113005243750976, 355687428096120, 40279680, 367920, 357001369764607, 6227020806], 'label': '46448640.a.10080.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.I', 'old_label': '10080.bs1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BS', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829602
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [8157, -1, 8473, -1], 'generators': [756016408229736, 357001503667327, 355760844336414, 19541478269104, 1864924232376655, 4879120964630521, 367920, 357001369764607, 355687428096120, 40279680, 6227020806], 'label': '46448640.a.10080.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.I', 'old_label': '10080.bt1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BT', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829603
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [4142, -1, 7774, -1], 'generators': [367920, 357001369764607, 4879120964630521, 357001503667327, 355687428096120, 19541478269104, 1510544518923175, 1113005243750976, 40279680, 355760844336414, 6227020806], 'label': '46448640.a.10080.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.I', 'old_label': '10080.bu1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BU', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829604
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [4512, -1, 7838, -1], 'generators': [756016408229736, 357001503667327, 4877819477003641, 1864924232376655, 73416240415, 355687428096120, 40279680, 376542767474225, 367920, 357001369764607, 6227020806], 'label': '46448640.a.10080.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.H', 'old_label': '10080.bv1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BV', 'subgroup_fusion': None, 'weyl_group': '4608.kq'}
  • id: 66829605
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [6627, -1, 8207, -1], 'generators': [756016408229736, 357001503667327, 355754617320654, 1864924232376655, 355687428096120, 19547665015271, 4877819477008566, 367920, 357001369764607, 40279680, 6227020806], 'label': '46448640.a.10080.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.H', 'old_label': '10080.bw1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BW', 'subgroup_fusion': None, 'weyl_group': '4608.kq'}
  • id: 66829606
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [2831, -1, 7545, -1], 'generators': [367920, 357001369764607, 357001503667327, 1108914091448273, 355760803255656, 6042588723757750, 357001369764486, 40279680, 5633890578875542, 1313941305720, 6227020806], 'label': '46448640.a.10080.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.I', 'old_label': '10080.bx1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BX', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829607
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [458, -1, 678, -1], 'generators': [6227383806, 6227025966, 366859704954936, 357001369769527, 362886, 1307714652720, 376536539670478, 40279680, 356995142748840], 'label': '46448640.a.1008.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '1008.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829608
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [6847, -1, 8245, -1], 'generators': [367920, 357001369764607, 357001369401600, 5276707707426895, 19614812700238, 40279680, 357001503672240, 1520476273641593, 1313941305720, 4877867025186486, 6227020806], 'label': '46448640.a.10080.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.H', 'old_label': '10080.by1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BY', 'subgroup_fusion': None, 'weyl_group': '4608.kq'}
  • id: 66829609
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [7747, -1, 8402, -1], 'generators': [367920, 357001369764607, 4523493458920440, 376603727702393, 357001369401600, 5276707707426895, 1876157514991318, 40279680, 357001503672240, 1313941305720, 6227020806], 'label': '46448640.a.10080.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.I', 'old_label': '10080.bz1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.BZ', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829610
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [2888, -1, 7555, -1], 'generators': [756016408229736, 4523433536539566, 19541478269104, 67189224655, 357001369401600, 357001503672240, 357001369764607, 1313941305720, 367920, 40279680, 6227020806], 'label': '46448640.a.10080.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.I', 'old_label': '10080.ca1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CA', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829611
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [7968, -1, 8440, -1], 'generators': [367920, 357001369764607, 357001369401600, 756016408229736, 375235093111391, 67189224534, 40279680, 357001503672240, 1313941305720, 4522132048907521, 6227020806], 'label': '46448640.a.10080.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.H', 'old_label': '10080.cb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CB', 'subgroup_fusion': None, 'weyl_group': '4608.kq'}
  • id: 66829612
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [2074, -1, 7413, -1], 'generators': [1381089439302, 367920, 357001369764607, 357001503667327, 6042588723757750, 357001369764486, 1108914091085399, 40279680, 5633890578875542, 1313941305720, 6227020806], 'label': '46448640.a.10080.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.H', 'old_label': '10080.cc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CC', 'subgroup_fusion': None, 'weyl_group': '4608.kq'}
  • id: 66829613
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 10080, 'diagramx': [1649, -1, 7339, -1], 'generators': [756016408229736, 357068478424609, 4879120964635567, 357001369401600, 357001503672240, 376542767479271, 357001369764607, 1313941305720, 367920, 40279680, 6227020806], 'label': '46448640.a.10080.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10080.CD', 'old_label': '10080.cd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829614
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [7576, -1, 8372, -1], 'generators': [356995103275583, 375235092668158, 375235092299934, 2263758687958321, 356995142748721, 1313941673526, 356995142748840, 370957169294783, 126, 6266937600, 368046], 'label': '46448640.a.10080.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.ce1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CE', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829615
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [6099, -1, 8114, -1], 'generators': [6266937600, 356995142748840, 126, 355700880869041, 370957169294783, 2263758687958321, 375235092668158, 375235092299934, 1313941673526, 356995142748721, 368046], 'label': '46448640.a.10080.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.cf1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CF', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829616
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1404, -1, 7297, -1], 'generators': [6266937600, 356995142748840, 126, 370957169294783, 2263758687958321, 1327314602886, 375235092668158, 375235092299934, 1313941673526, 356995142748721, 368046], 'label': '46448640.a.10080.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.cg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CG', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829617
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1853, -1, 7375, -1], 'generators': [6268107016, 375235092668158, 375235092299934, 2263758687958321, 356995142748721, 1313941673526, 356995142748840, 370957169294783, 126, 6266937600, 368046], 'label': '46448640.a.10080.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.ch1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CH', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829618
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [313, -1, 653, -1], 'generators': [1108908078969607, 1314117468840, 2618152068268807, 2262484064701423, 4131499537630206, 357001369769646, 363000, 357001369769527, 362886, 6227020806], 'label': '46448640.a.1008.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.M', 'old_label': '1008.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.M', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829619
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [7118, -1, 8292, -1], 'generators': [368167464403201, 40284840, 6227383680, 12480385035304, 20855553482585, 363000, 6900973240624, 357001369764486, 1307714647800, 357001369769527, 33140188800], 'label': '46448640.a.10080.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.ci1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CI', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829620
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [2590, -1, 7503, -1], 'generators': [6266937600, 356995142748840, 1327314607920, 126, 370957169294783, 2263758687958321, 375235092668158, 375235092299934, 1313941673526, 356995142748721, 368046], 'label': '46448640.a.10080.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.cj1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CJ', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829621
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [1905, -1, 7384, -1], 'generators': [356995103270542, 375235092668158, 375235092299934, 2263758687958321, 356995142748721, 1313941673526, 356995142748840, 370957169294783, 126, 6266937600, 368046], 'label': '46448640.a.10080.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.ck1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CK', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829622
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [5515, -1, 8013, -1], 'generators': [20855553482585, 366859750123561, 6900973240624, 12480385035304, 357001369769527, 363000, 357001369764486, 33140188800, 1307714647800, 40284840, 6227383680], 'label': '46448640.a.10080.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.cl1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CL', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829623
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [7176, -1, 8302, -1], 'generators': [40284840, 6227383680, 12480385035304, 20855553482585, 363000, 6900973240624, 357001369764486, 1307714647800, 357001369769527, 33140188800, 368173691424007], 'label': '46448640.a.10080.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.cm1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CM', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829624
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [6969, -1, 8266, -1], 'generators': [6266937600, 356995142748840, 126, 370957169294783, 2263758687958321, 375235092668158, 375235092299934, 1313941673526, 355700880864007, 356995142748721, 368046], 'label': '46448640.a.10080.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.cn1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CN', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829625
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [44, -1, 7060, -1], 'generators': [6268112057, 375235092668158, 375235092299934, 2263758687958321, 356995142748721, 1313941673526, 356995142748840, 370957169294783, 126, 6266937600, 368046], 'label': '46448640.a.10080.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.co1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CO', 'subgroup_fusion': None, 'weyl_group': '9216.gx'}
  • id: 66829626
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [5574, -1, 8023, -1], 'generators': [20855553482585, 366865977144367, 6900973240624, 12480385035304, 357001369769527, 363000, 357001369764486, 33140188800, 1307714647800, 40284840, 6227383680], 'label': '46448640.a.10080.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.cp1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CP', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829627
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [4396, -1, 7818, -1], 'generators': [6399583826221750, 5629611657225462, 126, 357001369406641, 357001369406760, 6387050054258638, 1313941310640, 40279680, 214462087, 368046, 6227020806], 'label': '46448640.a.10080.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CN', 'old_label': '10080.cq1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CQ', 'subgroup_fusion': None, 'weyl_group': '4608.hg'}
  • id: 66829628
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [8970, -1, 8615, -1], 'generators': [6398269884558425, 6388351541890433, 5629611657225462, 126, 357001369406641, 357001369406760, 1313941310640, 40279680, 214462087, 368046, 6227020806], 'label': '46448640.a.10080.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CN', 'old_label': '10080.cr1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CR', 'subgroup_fusion': None, 'weyl_group': '4608.hg'}
  • id: 66829629
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [888, -1, 753, -1], 'generators': [2262484064696377, 2262464600619007, 3774504434803206, 363000, 176158086, 357001369769527, 362886, 753226837977601, 357001369769646, 6227020806], 'label': '46448640.a.1008.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.N', 'old_label': '1008.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.N', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829630
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [3412, -1, 7647, -1], 'generators': [5646309653359014, 126, 357001369406641, 357001369406760, 5276721119471857, 1313941310640, 6382825826250958, 40279680, 214462087, 368046, 6227020806], 'label': '46448640.a.10080.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '10080.cs1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829631
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [326, -1, 7109, -1], 'generators': [376542942019504, 356995142748840, 6227383680, 11178937330271, 6227025966, 362594628357550, 363000, 6267300486, 33140188800, 357001369769527, 1313941673526], 'label': '46448640.a.10080.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.ct1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CT', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829632
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [9407, -1, 8691, -1], 'generators': [356995142748840, 6227383680, 355741164558727, 357001765315630, 6227025966, 363000, 359844811176361, 40279680, 357048925643520, 1313941673526, 356995142748721], 'label': '46448640.a.10080.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CS', 'old_label': '10080.cu1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CU', 'subgroup_fusion': None, 'weyl_group': '1152.157851'}
  • id: 66829633
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [9529, -1, 8712, -1], 'generators': [6227383806, 6227025966, 435472865, 357048925643520, 357001369769527, 355741164558727, 362886, 2843441406727, 40279680, 356995142748840, 1313941673526], 'label': '46448640.a.10080.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CS', 'old_label': '10080.cv1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CV', 'subgroup_fusion': None, 'weyl_group': '1152.157851'}
  • id: 66829634
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [9585, -1, 8722, -1], 'generators': [6227383806, 6227025966, 435472865, 357048925643520, 357001369769527, 1367677410601, 362886, 2843441406727, 40279680, 356995142748840, 1313941673526], 'label': '46448640.a.10080.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CS', 'old_label': '10080.cw1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CW', 'subgroup_fusion': None, 'weyl_group': '1152.157851'}
  • id: 66829635
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [5864, -1, 8074, -1], 'generators': [8456203561385, 356995142748721, 6227025966, 60090485166, 357001765315630, 359844811176361, 6227383680, 40279680, 356995142748840, 1313941673526, 363000], 'label': '46448640.a.10080.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.cx1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CX', 'subgroup_fusion': None, 'weyl_group': '9216.hg'}
  • id: 66829636
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [7464, -1, 8352, -1], 'generators': [365451266476390, 357001765315630, 60090485166, 359844811176361, 356995142748721, 363000, 1313941673526, 356995142748840, 40279680, 6227025966, 6227383680], 'label': '46448640.a.10080.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.cy1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CY', 'subgroup_fusion': None, 'weyl_group': '20000.fn'}
  • id: 66829637
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [3247, -1, 7618, -1], 'generators': [20849413559465, 13961940261838, 1307803368240, 376542766661344, 357001369406760, 363000, 1313941673526, 357001369406641, 40279680, 5160, 6227020806], 'label': '46448640.a.10080.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '10080.cz1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.CZ', 'subgroup_fusion': None, 'weyl_group': '6912.ex'}
  • id: 66829638
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [3191, -1, 7608, -1], 'generators': [20849413559465, 370963310031353, 1307803368240, 376542766661344, 357001369406760, 363000, 1313941673526, 357001369406641, 40279680, 5160, 6227020806], 'label': '46448640.a.10080.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '10080.da1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DA', 'subgroup_fusion': None, 'weyl_group': '6912.ex'}
  • id: 66829639
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [9641, -1, 8732, -1], 'generators': [6227383806, 6227025966, 60090485166, 435472865, 357001369769527, 1367677410601, 362886, 2843441406727, 40279680, 356995142748840, 1313941673526], 'label': '46448640.a.10080.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CS', 'old_label': '10080.db1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DB', 'subgroup_fusion': None, 'weyl_group': '1152.157851'}
  • id: 66829640
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [598, -1, 702, -1], 'generators': [357001369769646, 6227383806, 6227025966, 361326714762953, 357001369769527, 356995365361920, 1307675197729, 362886, 1307714652720, 6267300486], 'label': '46448640.a.1008.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '1008.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.O', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829641
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [9169, -1, 8650, -1], 'generators': [356995142748840, 6227383680, 60090485166, 357001765315630, 6227025966, 363000, 359844811176361, 1367677410601, 40279680, 1313941673526, 356995142748721], 'label': '46448640.a.10080.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.dc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DC', 'subgroup_fusion': None, 'weyl_group': '3200.go'}
  • id: 66829642
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [9697, -1, 8741, -1], 'generators': [6227383806, 6227025966, 60090485166, 435472865, 357001369769527, 355741164558727, 362886, 2843441406727, 40279680, 356995142748840, 1313941673526], 'label': '46448640.a.10080.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CS', 'old_label': '10080.dd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DD', 'subgroup_fusion': None, 'weyl_group': '1152.157851'}
  • id: 66829643
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [9228, -1, 8660, -1], 'generators': [356995142748840, 6227383680, 60090485166, 355741164558727, 357001765315630, 6227025966, 363000, 359844811176361, 40279680, 1313941673526, 356995142748721], 'label': '46448640.a.10080.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.de1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829644
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [6679, -1, 8216, -1], 'generators': [6399583826221750, 6388351541890433, 5629611657225462, 126, 357001369406641, 357001369406760, 1313941310640, 40279680, 214462087, 368046, 6227020806], 'label': '46448640.a.10080.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CN', 'old_label': '10080.df1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DF', 'subgroup_fusion': None, 'weyl_group': '4608.hg'}
  • id: 66829645
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [2719, -1, 7526, -1], 'generators': [6398269884558425, 5629611657225462, 126, 357001369406641, 357001369406760, 6387050054258638, 1313941310640, 40279680, 214462087, 368046, 6227020806], 'label': '46448640.a.10080.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CN', 'old_label': '10080.dg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DG', 'subgroup_fusion': None, 'weyl_group': '4608.hg'}
  • id: 66829646
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [159, -1, 7080, -1], 'generators': [356995142748840, 6227383680, 357001765315630, 6227025966, 363000, 365451266476390, 359844811176361, 40279680, 357048925643520, 1313941673526, 356995142748721], 'label': '46448640.a.10080.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CQ', 'old_label': '10080.dh1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DH', 'subgroup_fusion': None, 'weyl_group': '2304.hr'}
  • id: 66829647
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [5279, -1, 7972, -1], 'generators': [1314289687255, 357001369764607, 359791075122910, 355693657934022, 6227025840, 368240839102511, 355727792447710, 1307674373040, 357001369769646, 391087134, 355687555472334], 'label': '46448640.a.10080.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BS', 'old_label': '10080.di1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829648
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [5456, -1, 8003, -1], 'generators': [1314289687255, 357001369764607, 359791075122910, 6227025840, 368240839102511, 355727792447710, 6229843062, 1307674373040, 357001369769646, 391087134, 355687555472334], 'label': '46448640.a.10080.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BS', 'old_label': '10080.dj1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829649
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [1577, -1, 7327, -1], 'generators': [1307675179456, 20849111918929, 370963396315582, 20849111919352, 2263764954896040, 357001369769646, 1327354524726, 1307674735926, 357001369769527, 126, 368046], 'label': '46448640.a.10080.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.dk1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DK', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829650
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [3888, -1, 7729, -1], 'generators': [1174336, 20849111918929, 370963396315582, 20849111919352, 2263764954896040, 357001369769646, 19679793846, 1307674735926, 357001369769527, 126, 368046], 'label': '46448640.a.10080.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.dl1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DL', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829651
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [840, -1, 744, -1], 'generators': [357001369769646, 6227383806, 6227025966, 361326714767992, 357001369769527, 1307675197729, 362886, 357001592382726, 1307714652720, 6267300486], 'label': '46448640.a.1008.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '1008.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.P', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829652
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [1333, -1, 7284, -1], 'generators': [1307675179456, 20849111918929, 370963396315582, 20849111919352, 2263764954896040, 357001369769646, 19679793846, 1307674735926, 357001369769527, 126, 368046], 'label': '46448640.a.10080.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.dm1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DM', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829653
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [3949, -1, 7740, -1], 'generators': [1174336, 20849111918929, 370963396315582, 20849111919352, 2263764954896040, 357001369769646, 1327354524726, 1307674735926, 357001369769527, 126, 368046], 'label': '46448640.a.10080.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.dn1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DN', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829654
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [4925, -1, 7910, -1], 'generators': [20855553482585, 368167464403201, 362594588440630, 368174000235310, 357001369769646, 363000, 33140188800, 1307714647800, 357001369764607, 40284840, 6227383680], 'label': '46448640.a.10080.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '10080.do1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829655
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [4688, -1, 7869, -1], 'generators': [357001369769646, 357001369764607, 20855553482585, 1307714647800, 11172322027560, 6227383680, 362594588440630, 33140188800, 368174000235310, 363000, 40284840], 'label': '46448640.a.10080.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.dp1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DP', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829656
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [8279, -1, 8494, -1], 'generators': [370963396315582, 20855378489039, 2618144668339200, 20849151835849, 357001369769646, 1307714652720, 126, 357001369769527, 1327314607920, 6266937600, 6227388840], 'label': '46448640.a.10080.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '10080.dq1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DQ', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829657
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [4204, -1, 7784, -1], 'generators': [357001369769646, 20855378489039, 6266937600, 2618144668339200, 357001369769527, 126, 6268112057, 1307714652720, 370963396315582, 6227388840, 20849151835849], 'label': '46448640.a.10080.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '10080.dr1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DR', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829658
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [4748, -1, 7879, -1], 'generators': [357001369769646, 357001369764607, 20855553482585, 1307714647800, 368173691424007, 6227383680, 362594588440630, 33140188800, 368174000235310, 363000, 40284840], 'label': '46448640.a.10080.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.ds1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DS', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829659
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [8488, -1, 8531, -1], 'generators': [1314289687255, 357001369764607, 87459529, 359791075122910, 1313941668606, 6227025840, 368240839102511, 40364346670, 6267305646, 357001369769646, 1308065097288], 'label': '46448640.a.10080.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BR', 'old_label': '10080.dt1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829660
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 10080, 'diagramx': [1731, -1, 7353, -1], 'generators': [367920, 357001369764607, 41091256, 13968293851582, 6227383680, 20855338577158, 20849111551135, 40279680, 355687428101040, 13412851200, 2618144708618880], 'label': '46448640.a.10080.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10080.DU', 'old_label': '10080.du1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DU', 'subgroup_fusion': None, 'weyl_group': '1152.157851'}
  • id: 66829661
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [494, -1, 7138, -1], 'generators': [1314289687255, 368240839102511, 356995189555614, 40364346670, 359791075122910, 357001369769646, 390724134, 1313941668606, 357001369764607, 6227025840, 6267305646], 'label': '46448640.a.10080.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BS', 'old_label': '10080.dv1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829662
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [261, -1, 644, -1], 'generators': [357001369769646, 6227020806, 357001369764607, 376609955069503, 367920, 356995365361920, 362886, 1313901393846], 'label': '46448640.a.1008.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.G', 'old_label': '1008.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.Q', 'subgroup_fusion': None, 'weyl_group': '23040.x'}
  • id: 66829663
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 10080, 'diagramx': [9975, -1, 8790, -1], 'generators': [367920, 357001369764607, 6227383680, 20849151831119, 370957169294783, 20849111551135, 40279680, 355687428101040, 355687469187136, 13412851200, 2618144708618880], 'label': '46448640.a.10080.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10080.DW', 'old_label': '10080.dw1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DW', 'subgroup_fusion': None, 'weyl_group': '1152.157851'}
  • id: 66829664
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [438, -1, 7128, -1], 'generators': [5599526261351, 6227383680, 11178937330271, 6227025966, 20855553482585, 363000, 6267300486, 33140188800, 357001369769646, 1313941673526, 356995142748721], 'label': '46448640.a.10080.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '10080.dx1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DX', 'subgroup_fusion': None, 'weyl_group': '2304.hz'}
  • id: 66829665
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [8209, -1, 8482, -1], 'generators': [362594628357550, 368167813131184, 20849326461791, 357001369769527, 357001369764486, 33140188800, 1313941668606, 363000, 40284840, 362886, 6227020806], 'label': '46448640.a.10080.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.dy1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DY', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829666
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [9920, -1, 8780, -1], 'generators': [6227383806, 355741164558727, 435472865, 6227025966, 357048925643646, 359844811176361, 362886, 40279680, 357001369769646, 1313941673526, 356995142748721], 'label': '46448640.a.10080.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CS', 'old_label': '10080.dz1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.DZ', 'subgroup_fusion': None, 'weyl_group': '1152.157851'}
  • id: 66829667
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [9863, -1, 8771, -1], 'generators': [357001369769646, 357048925643646, 6227383806, 356995142748721, 6227025966, 435472865, 359844811176361, 362886, 355741164563887, 40279680, 1313941673526], 'label': '46448640.a.10080.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CS', 'old_label': '10080.ea1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EA', 'subgroup_fusion': None, 'weyl_group': '1152.157851'}
  • id: 66829668
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [9752, -1, 8751, -1], 'generators': [357001369769646, 6227383806, 356995142748721, 6227025966, 435472865, 357048925643520, 355741164558727, 359844811176361, 362886, 40279680, 1313941673526], 'label': '46448640.a.10080.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CS', 'old_label': '10080.eb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EB', 'subgroup_fusion': None, 'weyl_group': '1152.157851'}
  • id: 66829669
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [9808, -1, 8761, -1], 'generators': [357001369769646, 6227383806, 356995142748721, 6227025966, 435472865, 357048925643520, 359844811176361, 362886, 355741164563887, 40279680, 1313941673526], 'label': '46448640.a.10080.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CS', 'old_label': '10080.ec1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EC', 'subgroup_fusion': None, 'weyl_group': '1152.157851'}
  • id: 66829670
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [7049, -1, 8280, -1], 'generators': [1374862786423, 357001503672361, 754528150621433, 6398276111574185, 5633890578880576, 357001369769646, 1313941673526, 357001369769527, 126, 40284840, 6227020806], 'label': '46448640.a.10080.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CB', 'old_label': '10080.ed1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829671
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [7884, -1, 8426, -1], 'generators': [20849111551135, 370963396315582, 2263764954533040, 20849111556478, 357001369769646, 363000, 1307674373040, 1327354524726, 357001369769527, 5160, 362886], 'label': '46448640.a.10080.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.ee1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EE', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829672
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [3121, -1, 7596, -1], 'generators': [357001503672361, 4877819477003520, 756016408592617, 67189224655, 357001369769646, 40284840, 1313941673526, 376542767474225, 126, 357001369769527, 6227020806], 'label': '46448640.a.10080.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CB', 'old_label': '10080.ef1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829673
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [71, -1, 611, -1], 'generators': [357001369769646, 5160, 12479911310023, 357001369769527, 362886, 376542766696318, 1307714652720, 40279680, 363000], 'label': '46448640.a.1008.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.D', 'old_label': '1008.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.R', 'subgroup_fusion': None, 'weyl_group': '2916.ed'}
  • id: 66829674
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [1968, -1, 7395, -1], 'generators': [40284840, 4877873252570166, 126, 5632401362906574, 375302280717953, 357001503672361, 357001369769527, 357001369769646, 1877465189364358, 1313941673526, 6227020806], 'label': '46448640.a.10080.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CB', 'old_label': '10080.eg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EG', 'subgroup_fusion': None, 'weyl_group': '1536.408640541'}
  • id: 66829675
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [4332, -1, 7807, -1], 'generators': [1307675174536, 20849111551135, 2618144708618880, 370963396315582, 20849111556478, 357001369769646, 363000, 1307674373040, 357001369769527, 5160, 362886], 'label': '46448640.a.10080.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.eh1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EH', 'subgroup_fusion': None, 'weyl_group': '768.1089108'}
  • id: 66829676
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [6365, -1, 8161, -1], 'generators': [357001369769646, 1308110198704, 358537136808367, 357001369769527, 1307714647800, 6227383680, 355741164563887, 355741291560366, 40279680, 365451266476390, 363000], 'label': '46448640.a.10080.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CK', 'old_label': '10080.ei1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829677
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [6295, -1, 8149, -1], 'generators': [357001369769646, 1308110198704, 358537136808367, 357001369769527, 1307714647800, 364143591740585, 6227383680, 355741164563887, 355741291560366, 40279680, 363000], 'label': '46448640.a.10080.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CK', 'old_label': '10080.ej1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EJ', 'subgroup_fusion': None, 'weyl_group': '3200.go'}
  • id: 66829678
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [8708, -1, 8569, -1], 'generators': [368167464403201, 362588361419824, 375235267651624, 368174000235310, 357001369769646, 356995142385847, 39916806, 6227383806, 1307714289846, 33140188926, 6227388840], 'label': '46448640.a.10080.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.ek1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EK', 'subgroup_fusion': None, 'weyl_group': '1152.155790'}
  • id: 66829679
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [270, -1, 7099, -1], 'generators': [357001369769646, 5160, 11172710309465, 20855553482585, 357001369769527, 5593299240545, 6227383680, 1307714652720, 40279680, 33140188800, 363000], 'label': '46448640.a.10080.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.el1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EL', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829680
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [9107, -1, 8638, -1], 'generators': [6662493671, 357001369769646, 357048925643646, 6227025966, 358537136808367, 357001369769527, 6227383680, 355741164563887, 40279680, 1313941673526, 363000], 'label': '46448640.a.10080.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CS', 'old_label': '10080.em1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EM', 'subgroup_fusion': None, 'weyl_group': '1152.157851'}
  • id: 66829681
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [5809, -1, 8064, -1], 'generators': [6227383680, 6227025966, 363000, 365451266476390, 357001369769527, 358537136808367, 40279680, 6662493671, 357001369769646, 357048925643520, 1313941673526], 'label': '46448640.a.10080.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.en1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EN', 'subgroup_fusion': None, 'weyl_group': '4608.fk'}
  • id: 66829682
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [7409, -1, 8343, -1], 'generators': [6662493671, 358537136808367, 357048925643520, 365451266471351, 357001369769646, 363000, 1313941673526, 357001369769527, 40279680, 6227025966, 6227383680], 'label': '46448640.a.10080.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.eo1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EO', 'subgroup_fusion': None, 'weyl_group': '4608.fk'}
  • id: 66829683
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [549, -1, 7147, -1], 'generators': [370963310031353, 1307714652720, 363000, 5160, 357001369769527, 362886, 376543029127270, 355693743832446, 40279680, 357001369769646, 20849151819311], 'label': '46448640.a.10080.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.ep1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EP', 'subgroup_fusion': None, 'weyl_group': '3200.go'}
  • id: 66829684
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '84.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 84, 'diagramx': [46, -1, 57, -1], 'generators': [363000, 369655943759286, 5160, 356995491552294, 362886, 357001369769527, 40279680, 357001369769646, 6038249797008305, 1313941673526, 6227020806], 'label': '46448640.a.84.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '84.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829685
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 504, 'diagramx': [114, -1, 618, -1], 'generators': [4538864180798951, 4103646624719, 6356464849, 357001369769646, 363000, 1313941673526, 40279680, 357001369769527, 5160, 362886, 6227020806], 'label': '46448640.a.1008.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.H', 'old_label': '1008.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829686
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [605, -1, 7157, -1], 'generators': [370957083010559, 376543029127270, 355693743832446, 20849151819311, 357001369769646, 1307714652720, 357001369769527, 363000, 40279680, 5160, 362886], 'label': '46448640.a.10080.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.eq1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829687
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.ER', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [1269, -1, 7273, -1], 'generators': [6662493671, 357001369769646, 6227025966, 358537136808367, 357048925643520, 357001369769527, 355741164558727, 6227383680, 40279680, 1313941673526, 363000], 'label': '46448640.a.10080.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.er1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.ER', 'subgroup_fusion': None, 'weyl_group': '10368.bf'}
  • id: 66829688
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.ES', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [5970, -1, 8092, -1], 'generators': [6662493671, 357001369769646, 6227025966, 358537136808367, 357048925643520, 357001369769527, 6227383680, 355741164563887, 40279680, 1313941673526, 363000], 'label': '46448640.a.10080.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BB', 'old_label': '10080.es1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.ES', 'subgroup_fusion': None, 'weyl_group': '20000.ea'}
  • id: 66829689
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.ET', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [103, -1, 7070, -1], 'generators': [6662493671, 357001369769646, 357048925643646, 6227025966, 358537136808367, 357001369769527, 6227383680, 365451266471351, 40279680, 1313941673526, 363000], 'label': '46448640.a.10080.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CQ', 'old_label': '10080.et1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.ET', 'subgroup_fusion': None, 'weyl_group': '2304.hr'}
  • id: 66829690
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 5040, 'diagramx': [8102, -1, 8464, -1], 'generators': [357001503672361, 1862134567332784, 1866225680086919, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.10080.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CN', 'old_label': '10080.eu1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829691
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 5040, 'diagramx': [3484, -1, 7659, -1], 'generators': [435472865, 359844811176361, 357001369769646, 363000, 1313941673526, 40279680, 362886, 355741164558727, 357001369769527, 5160, 6227020806], 'label': '46448640.a.10080.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CS', 'old_label': '10080.ev1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EV', 'subgroup_fusion': None, 'weyl_group': '1152.157851'}
  • id: 66829692
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 840, 'diagramx': [2023, -1, 7404, -1], 'generators': [363000, 5160, 357001369769527, 362886, 376543029127270, 355693743832446, 40279680, 357001369769646, 1313941673526, 20849151819311, 6227020806], 'label': '46448640.a.10080.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '10080.ew1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EW', 'subgroup_fusion': None, 'weyl_group': '3456.cy'}
  • id: 66829693
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 5040, 'diagramx': [2661, -1, 7516, -1], 'generators': [357001503672361, 6398269884558425, 5629611657225462, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.10080.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CN', 'old_label': '10080.ex1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EX', 'subgroup_fusion': None, 'weyl_group': '4608.hg'}
  • id: 66829694
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 5040, 'diagramx': [7809, -1, 8413, -1], 'generators': [365451266476390, 435472865, 359844811176361, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.10080.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CQ', 'old_label': '10080.ey1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EY', 'subgroup_fusion': None, 'weyl_group': '2304.hr'}
  • id: 66829695
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.EZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 10080, 'diagramx': [1210, -1, 7262, -1], 'generators': [4877819650385279, 1110296099784953, 359858397035808, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.10080.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10080.EZ', 'old_label': '10080.ez1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.EZ', 'subgroup_fusion': None, 'weyl_group': '2304.fd'}
  • id: 66829696
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 504, 'diagramx': [415, -1, 670, -1], 'generators': [13981667229481, 376542680406479, 1313902223569, 357001369769646, 363000, 1313941673526, 40279680, 357001369769527, 5160, 362886, 6227020806], 'label': '46448640.a.1008.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '1008.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.T', 'subgroup_fusion': None, 'weyl_group': '23040.bg'}
  • id: 66829697
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1680, 'diagramx': [8605, -1, 8551, -1], 'generators': [357001503672361, 6398269884558425, 5633890578875542, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.10080.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.E', 'old_label': '10080.fa1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FA', 'subgroup_fusion': None, 'weyl_group': '13824.cm'}
  • id: 66829698
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 6720, 'diagramx': [8652, -1, 8560, -1], 'generators': [4133002206401257, 2790009768977, 4533311421273000, 357001369769646, 363000, 1313941673526, 40279680, 357001369769527, 5160, 362886, 6227020806], 'label': '46448640.a.10080.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.L', 'old_label': '10080.fb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FB', 'subgroup_fusion': None, 'weyl_group': '13824.s'}
  • id: 66829699
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 840, 'diagramx': [3054, -1, 7584, -1], 'generators': [5279463277407359, 363000, 3025354856025185, 5160, 357001369769527, 362886, 40279680, 4879140564613800, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.10080.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.B', 'old_label': '10080.fc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829700
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [1520, -1, 7317, -1], 'generators': [355693696207937, 376542766667814, 370963356030742, 376536579564113, 2618138481235326, 13452768006, 1313941305720, 356995142380927, 356995142380806, 126, 6266937600], 'label': '46448640.a.10080.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '10080.fd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FD', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829701
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [3303, -1, 7627, -1], 'generators': [376542766667814, 370963356030742, 356995142380806, 6266937600, 355693696207937, 356995142380927, 126, 357014742704040, 2618138481235326, 1313941305720, 376536579564113], 'label': '46448640.a.10080.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '10080.fe1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FE', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829702
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [3355, -1, 7636, -1], 'generators': [355693696207937, 376542766667814, 370963356030742, 376536579564113, 2618138481235326, 356995142380806, 1313941305720, 126, 356995142380927, 355700880864126, 6266937600], 'label': '46448640.a.10080.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '10080.ff1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FF', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829703
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [2946, -1, 7565, -1], 'generators': [376542766667814, 370963356030742, 356995142380806, 6266937600, 1327314607920, 356995142380927, 126, 6268112057, 2618138481235326, 1313941305720, 376536579564113], 'label': '46448640.a.10080.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '10080.fg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FG', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829704
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [3002, -1, 7575, -1], 'generators': [6268112057, 376542766667814, 370963356030742, 376536579564113, 2618138481235326, 13452768006, 1313941305720, 356995142380927, 356995142380806, 126, 6266937600], 'label': '46448640.a.10080.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '10080.fh1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FH', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829705
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [6731, -1, 8225, -1], 'generators': [6268112057, 376542766667814, 370963356030742, 376536579564113, 2618138481235326, 356995142380806, 1313941305720, 126, 356995142380927, 355700880864126, 6266937600], 'label': '46448640.a.10080.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '10080.fi1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FI', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829706
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [1468, -1, 7308, -1], 'generators': [355693696207937, 376542766667814, 370963356030742, 376536579564113, 2618138481235326, 356995142380806, 1313941305720, 356995142380927, 1327314607920, 126, 6266937600], 'label': '46448640.a.10080.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '10080.fj1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FJ', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829707
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1008.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [212, -1, 635, -1], 'generators': [20916259677936, 356995365361920, 367920, 1313901393846, 357001329484806, 362886, 357001329489847, 6227020806], 'label': '46448640.a.1008.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.G', 'old_label': '1008.u1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.U', 'subgroup_fusion': None, 'weyl_group': '23040.x'}
  • id: 66829708
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [6787, -1, 8235, -1], 'generators': [376542766667814, 370963356030742, 356995142380806, 6266937600, 356995142380927, 126, 357014742704040, 6268112057, 2618138481235326, 1313941305720, 376536579564113], 'label': '46448640.a.10080.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '10080.fk1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FK', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829709
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [2186, -1, 7433, -1], 'generators': [8456203561385, 6227025966, 60090485166, 6227020920, 359838584155560, 357001805232310, 357001369406641, 40279680, 356995142748840, 1313941673526, 355747391579526], 'label': '46448640.a.10080.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BM', 'old_label': '10080.fl1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829710
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [2520, -1, 7491, -1], 'generators': [8456203561385, 6227025966, 60090485166, 6227020920, 355741164558727, 359838584155560, 357001805232310, 357001369406641, 40279680, 356995142748840, 1313941673526], 'label': '46448640.a.10080.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BM', 'old_label': '10080.fm1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FM', 'subgroup_fusion': None, 'weyl_group': '3200.go'}
  • id: 66829711
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [2464, -1, 7481, -1], 'generators': [356995142748840, 53863464367, 359838584155560, 357001369406641, 6227025966, 1361450389800, 6227020920, 40279680, 8456203561385, 357001805232310, 1313941673526], 'label': '46448640.a.10080.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BJ', 'old_label': '10080.fn1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FN', 'subgroup_fusion': None, 'weyl_group': '3200.go'}
  • id: 66829712
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [2129, -1, 7423, -1], 'generators': [8456203561385, 357001805232310, 359838584155560, 53863464367, 6227020920, 1313941673526, 356995142748840, 357001369406641, 1367677410601, 40279680, 6227025966], 'label': '46448640.a.10080.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BJ', 'old_label': '10080.fo1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FO', 'subgroup_fusion': None, 'weyl_group': '10368.bf'}
  • id: 66829713
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [5338, -1, 7982, -1], 'generators': [1314289687255, 356995189555614, 11245696363744, 6227025840, 356995102464000, 356995102469041, 2789705358305, 390724134, 357041653551665, 1307674373040, 356995144840297], 'label': '46448640.a.10080.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BS', 'old_label': '10080.fp1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829714
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [5397, -1, 7992, -1], 'generators': [1314289687255, 356995189555614, 11245696363744, 6227025840, 356995102464000, 356995102469041, 2789705358305, 6229843062, 390724134, 357041653551665, 1307674373040], 'label': '46448640.a.10080.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.BS', 'old_label': '10080.fq1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829715
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [5161, -1, 7951, -1], 'generators': [5593259323865, 368167773214504, 376542942019504, 1307714647800, 356995142743801, 356995142748840, 33140188800, 11178549048366, 363000, 40284840, 6227383680], 'label': '46448640.a.10080.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '10080.fr1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FR', 'subgroup_fusion': None, 'weyl_group': '2304.hz'}
  • id: 66829716
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [5103, -1, 7941, -1], 'generators': [376542942019504, 40284840, 356995142748840, 6227383680, 356995142743801, 363000, 5593259323865, 1307714647800, 33140188800, 368167773214504, 368167464766080], 'label': '46448640.a.10080.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '10080.fs1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829717
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [5220, -1, 7961, -1], 'generators': [11178549411247, 5593259323865, 368167773214504, 376542942019504, 1307714647800, 356995142743801, 356995142748840, 33140188800, 363000, 40284840, 6227383680], 'label': '46448640.a.10080.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '10080.ft1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829718
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1080.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1080, 'diagramx': [96, -1, 788, -1], 'generators': [357055107482281, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 6385548422569558, 5160, 6227020806], 'label': '46448640.a.1080.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1080.A', 'old_label': '1080.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1080.A', 'subgroup_fusion': None, 'weyl_group': '10752.k'}
  • id: 66829719
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [5044, -1, 7931, -1], 'generators': [368167464403201, 376542942019504, 40284840, 356995142748840, 6227383680, 356995142743801, 363000, 5593259323865, 1307714647800, 33140188800, 368167773214504], 'label': '46448640.a.10080.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '10080.fu1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829720
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [6902, -1, 8255, -1], 'generators': [357001503667327, 4523433536539566, 1113005243751102, 67189224655, 20849152642270, 357001329484927, 357001329484806, 1313901388926, 1510544518928209, 126, 6227020806], 'label': '46448640.a.10080.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CB', 'old_label': '10080.fv1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829721
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [4629, -1, 7859, -1], 'generators': [355693696207937, 20849111551135, 13962026545943, 2263764954533040, 20849111556478, 5160, 363000, 1307674373040, 1327354524726, 121, 362886], 'label': '46448640.a.10080.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.fw1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FW', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829722
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [8431, -1, 8521, -1], 'generators': [357001543589041, 357062251771849, 4522132049275446, 1113005243751102, 357001329484927, 357001329484806, 1510544518928209, 376542767842271, 1313901388926, 126, 6227020806], 'label': '46448640.a.10080.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CB', 'old_label': '10080.fx1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829723
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [6027, -1, 8102, -1], 'generators': [4523433536539566, 6227020806, 357001329484927, 126, 1113005243751102, 67189224655, 20849152642270, 1313901388926, 357001503667327, 1864918005350815, 357001329484806], 'label': '46448640.a.10080.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CB', 'old_label': '10080.fy1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829724
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.FZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [8775, -1, 8581, -1], 'generators': [1307675174536, 20849111556478, 363000, 2263764954533040, 13962026545943, 5160, 362886, 20849111551135, 355700840947320, 1307674373040, 121], 'label': '46448640.a.10080.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.fz1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.FZ', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829725
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.GA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [1799, -1, 7365, -1], 'generators': [355693696207937, 20849111551135, 13962026545943, 2263764954533040, 20849111556478, 5160, 363000, 355700840947320, 1307674373040, 121, 362886], 'label': '46448640.a.10080.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.ga1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.GA', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829726
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.GB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [4077, -1, 7762, -1], 'generators': [357001543589041, 357062251771849, 4522132049275446, 1113005243751102, 357001329484927, 357001329484806, 1864918005350815, 1313901388926, 376542767842271, 126, 6227020806], 'label': '46448640.a.10080.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CB', 'old_label': '10080.gb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829727
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.GC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [1151, -1, 7253, -1], 'generators': [1307675174536, 20849111556478, 363000, 2263764954533040, 1327354524726, 13962026545943, 5160, 362886, 20849111551135, 1307674373040, 121], 'label': '46448640.a.10080.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CC', 'old_label': '10080.gc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.GC', 'subgroup_fusion': None, 'weyl_group': '2304.jr'}
  • id: 66829728
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.GD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [4984, -1, 7920, -1], 'generators': [20855553482585, 5593299240545, 368167464403201, 11172710309465, 5160, 363000, 33140188800, 40279680, 1307714652720, 121, 6227383680], 'label': '46448640.a.10080.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.BC', 'old_label': '10080.gd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829729
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1080.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2160, 'diagramx': [39, -1, 778, -1], 'generators': [4879140563779337, 363000, 357055020374520, 357035381764559, 5160, 2262504703777200, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6028593691289033, 6227020806], 'label': '46448640.a.1080.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1080.B', 'old_label': '1080.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1080.B', 'subgroup_fusion': None, 'weyl_group': '21504.cf'}
  • id: 66829730
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.GE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [4866, -1, 7900, -1], 'generators': [5160, 11172710309465, 121, 20855553482585, 368173691424007, 5593299240545, 6227383680, 1307714652720, 40279680, 33140188800, 363000], 'label': '46448640.a.10080.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.ge1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.GE', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829731
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.GF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [8364, -1, 8509, -1], 'generators': [376542766667814, 20849151468119, 13968253566742, 2618144708256006, 357001369401600, 1313941305720, 126, 357001369401721, 1327314607920, 39916806, 6227020806], 'label': '46448640.a.10080.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '10080.gf1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.GF', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829732
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.GG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2520, 'diagramx': [4268, -1, 7795, -1], 'generators': [6268112057, 376542766667814, 20849151468119, 13968253566742, 2618144708256006, 357001369401600, 1313941305720, 126, 357001369401721, 39916806, 6227020806], 'label': '46448640.a.10080.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2520.V', 'old_label': '10080.gg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.GG', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829733
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.GH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [6434, -1, 8173, -1], 'generators': [6227383680, 356995142743801, 363000, 355741164563887, 1307714647800, 40279680, 8456203561385, 356995538294824, 356995142743680, 357048925643520, 4151115774721], 'label': '46448640.a.10080.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CK', 'old_label': '10080.gh1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.GH', 'subgroup_fusion': None, 'weyl_group': '3200.go'}
  • id: 66829734
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.GI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5040, 'diagramx': [6504, -1, 8185, -1], 'generators': [6227383680, 356995142743801, 363000, 365451266476390, 355741164563887, 1307714647800, 40279680, 356995538294824, 356995142743680, 357048925643520, 4151115774721], 'label': '46448640.a.10080.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5040.CK', 'old_label': '10080.gi1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.GI', 'subgroup_fusion': None, 'weyl_group': '4000.dx'}
  • id: 66829735
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10080.GJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1260, 'diagramx': [4807, -1, 7889, -1], 'generators': [5160, 11172710309465, 121, 20855553482585, 11172322027560, 5593299240545, 6227383680, 1307714652720, 40279680, 33140188800, 363000], 'label': '46448640.a.10080.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.K', 'old_label': '10080.gj1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080.GJ', 'subgroup_fusion': None, 'weyl_group': '20000.bh'}
  • id: 66829736
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10752.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2688, 'diagramx': [35, -1, 8799, -1], 'generators': [5160, 6920176395006, 2634876848597464, 28086, 126], 'label': '46448640.a.10752.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2688.a1', 'old_label': '10752.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10752.A', 'subgroup_fusion': None, 'weyl_group': '2592.iy'}
  • id: 66829737
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '10752.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 10752, 'diagramx': [91, -1, 8809, -1], 'generators': [3388110736159024, 28086, 357001369764481, 6900536966814], 'label': '46448640.a.10752.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10752.B', 'old_label': '10752.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10752.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829738
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [2242, -1, 9203, -1], 'generators': [1307714289846, 4875023760393576, 356995142748840, 2279216112767878, 753220653656272, 5646303513083095, 363000, 4131493350974777, 40279680, 356995142385847, 5637940410855895, 368046], 'label': '46448640.a.11340.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.D', 'old_label': '11340.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.A', 'subgroup_fusion': None, 'weyl_group': '10000.dm'}
  • id: 66829739
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [1571, -1, 9086, -1], 'generators': [753220653293398, 1307714289846, 356995142748840, 2279216112767878, 4519336332660456, 5646303513083095, 363000, 4131493351337663, 40279680, 356995142385847, 5280939121650888, 368046], 'label': '46448640.a.11340.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.F', 'old_label': '11340.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.B', 'subgroup_fusion': None, 'weyl_group': '5000.cn'}
  • id: 66829740
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1080.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1080, 'diagramx': [163, -1, 800, -1], 'generators': [4879174786657321, 5276694120756352, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.1080.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1080.C', 'old_label': '1080.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1080.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829741
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [1208, -1, 9023, -1], 'generators': [1307714289846, 4875023760393576, 356995142748840, 2279216112767878, 5637940411213735, 753220653656272, 5646303513083095, 363000, 4131493350974777, 40279680, 356995142385847, 368046], 'label': '46448640.a.11340.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.D', 'old_label': '11340.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.C', 'subgroup_fusion': None, 'weyl_group': '10000.dm'}
  • id: 66829742
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [533, -1, 8905, -1], 'generators': [753220653293398, 1307714289846, 356995142748840, 2279216112767878, 4519336332660456, 5646303513083095, 363000, 4131493350974777, 40279680, 356995142385847, 5637940410855895, 368046], 'label': '46448640.a.11340.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.D', 'old_label': '11340.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.D', 'subgroup_fusion': None, 'weyl_group': '10000.dm'}
  • id: 66829743
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [956, -1, 8979, -1], 'generators': [1307714289846, 4875023760393576, 356995142748840, 2279216112767878, 753220653656272, 5646303513083095, 363000, 4131493351337663, 40279680, 356995142385847, 5280939121650888, 368046], 'label': '46448640.a.11340.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.F', 'old_label': '11340.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.E', 'subgroup_fusion': None, 'weyl_group': '5000.cn'}
  • id: 66829744
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [351, -1, 8873, -1], 'generators': [753220653293398, 1307714289846, 356995142748840, 2279216112767878, 4519336332660456, 5646303513083095, 363000, 4131493351337663, 5280939121282968, 40279680, 356995142385847, 368046], 'label': '46448640.a.11340.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.F', 'old_label': '11340.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.F', 'subgroup_fusion': None, 'weyl_group': '5000.cn'}
  • id: 66829745
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [44, -1, 8820, -1], 'generators': [753220653293398, 1307714289846, 356995142748840, 2279216112767878, 5637940411213735, 4519336332660456, 5646303513083095, 363000, 4131493350974777, 40279680, 356995142385847, 368046], 'label': '46448640.a.11340.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.D', 'old_label': '11340.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.G', 'subgroup_fusion': None, 'weyl_group': '10000.dm'}
  • id: 66829746
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [1144, -1, 9012, -1], 'generators': [1307714289846, 4875023760393576, 356995142748840, 2279216112767878, 753220653656272, 5646303513083095, 363000, 4131493351337663, 5280939121282968, 40279680, 356995142385847, 368046], 'label': '46448640.a.11340.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.F', 'old_label': '11340.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.H', 'subgroup_fusion': None, 'weyl_group': '5000.cn'}
  • id: 66829747
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [1633, -1, 9097, -1], 'generators': [356995142748840, 1307714652720, 2634909727600073, 5646303513083095, 363000, 5160, 4890293111318377, 362886, 4131493350974777, 40279680, 5632341359540977, 356995142748721], 'label': '46448640.a.11340.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829748
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [1868, -1, 9138, -1], 'generators': [356995142748840, 1307714652720, 4520650193764423, 5646303513083095, 363000, 365377672028303, 5160, 1110221942866553, 362886, 4131493350974777, 40279680, 356995142748721], 'label': '46448640.a.11340.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829749
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [415, -1, 8885, -1], 'generators': [753220653293398, 4875023760393576, 356995142748840, 8388757031056, 1307714652720, 5646303513083095, 363000, 5160, 362886, 4131493350974777, 40279680, 356995142748721], 'label': '46448640.a.11340.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829750
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [893, -1, 8968, -1], 'generators': [753220653293398, 4875023760393576, 356995142748840, 1307714652720, 5646303513083095, 363000, 365377672028303, 5160, 362886, 4131493350974777, 40279680, 356995142748721], 'label': '46448640.a.11340.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829751
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1120.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1120, 'diagramx': [159, -1, 831, -1], 'generators': [5631033598058455, 363000, 2816656779006, 1313901405958, 5160, 14008753399086, 357001369769527, 362886, 40279680, 1873341034023726, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.1120.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1120.A', 'old_label': '1120.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1120.A', 'subgroup_fusion': None, 'weyl_group': '41472.r'}
  • id: 66829752
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': None, 'generators': [4875023760393576, 356995142748840, 1307714652720, 5646303513083095, 363000, 5160, 1110221942866553, 362886, 4131493350974777, 40279680, 5637940410855895, 356995142748721], 'label': '46448640.a.11340.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.mB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829753
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': None, 'generators': [4875023760393576, 356995142748840, 1307714652720, 2634909727600073, 5646303513083095, 363000, 5160, 1110221942866553, 362886, 4131493350974777, 40279680, 356995142748721], 'label': '46448640.a.11340.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.I', 'old_label': '11340.mC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829754
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [1697, -1, 9108, -1], 'generators': [356995142748840, 1307714652720, 4533304196316222, 3778601815687385, 5646303513083095, 363000, 5160, 362886, 4131493350974777, 40279680, 5632341359540977, 356995142748721], 'label': '46448640.a.11340.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829755
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': None, 'generators': [356995142748840, 2279216112767878, 1307714652720, 4520650193764423, 5646303513083095, 363000, 5160, 1110221942866553, 362886, 4131493350974777, 40279680, 356995142748721], 'label': '46448640.a.11340.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.oB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829756
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': None, 'generators': [753220653293398, 356995142748840, 1307714652720, 4520650193764423, 5646303513083095, 363000, 5160, 362886, 4131493350974777, 40279680, 5637940410855895, 356995142748721], 'label': '46448640.a.11340.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.oC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829757
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2835, 'diagramx': [713, -1, 8937, -1], 'generators': [356995142748840, 1307714652720, 3778601815687385, 5646303513083095, 363000, 5160, 362886, 4131493350974777, 40279680, 5637940410855895, 5632341359540977, 356995142748721], 'label': '46448640.a.11340.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829758
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [1333, -1, 9045, -1], 'generators': [356995142748840, 1307714652720, 4132975381943344, 5646303513083095, 363000, 3774504435972496, 5160, 362886, 40279680, 5280939121650888, 5632341359540977, 356995142748721], 'label': '46448640.a.11340.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.K', 'old_label': '11340.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829759
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2835, 'diagramx': [596, -1, 8916, -1], 'generators': [356995142748840, 1307714652720, 4520650193764423, 2634909727600073, 5646303513083095, 363000, 5160, 1110221942866553, 362886, 4131493350974777, 40279680, 356995142748721], 'label': '46448640.a.11340.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829760
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2835, 'diagramx': [767, -1, 8946, -1], 'generators': [356995142748840, 1307714652720, 4533304196316222, 4132975381943344, 5646303513083095, 363000, 5160, 362886, 4131493350974777, 40279680, 5632341359540977, 356995142748721], 'label': '46448640.a.11340.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829761
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2835, 'diagramx': [163, -1, 8841, -1], 'generators': [356995142748840, 1307714652720, 4132975381943344, 5646303513083095, 363000, 5160, 4890293111318377, 362886, 4131493350974777, 40279680, 5632341359540977, 356995142748721], 'label': '46448640.a.11340.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829762
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1120.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1120, 'diagramx': [98, -1, 820, -1], 'generators': [26951137630, 369716643854656, 356995142748840, 6227383680, 2822883799686, 5631033598058455, 6267300486, 1313941310766, 355687468025033, 5160, 355687817224296, 1873347300961326, 356995142748721], 'label': '46448640.a.1120.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1120.B', 'old_label': '1120.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1120.B', 'subgroup_fusion': None, 'weyl_group': '41472.j'}
  • id: 66829763
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': [2053, -1, 9170, -1], 'generators': [356995142748840, 1307714652720, 4520650193764423, 5646303513083095, 363000, 5160, 1110221942866553, 362886, 4131493350974777, 40279680, 5280939121650888, 356995142748721], 'label': '46448640.a.11340.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '11340.u1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829764
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 945, 'diagramx': None, 'generators': [753220653293398, 4875023760393576, 356995142748840, 2279216112767878, 1307714652720, 5646303513083095, 363000, 5160, 362886, 4131493350974777, 40279680, 356995142748721], 'label': '46448640.a.11340.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.B', 'old_label': '11340.vB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829765
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1890, 'diagramx': None, 'generators': [753220653293398, 4875023760393576, 356995142748840, 1307714652720, 5646303513083095, 363000, 5160, 362886, 4131493350974777, 40279680, 5280939121650888, 356995142748721], 'label': '46448640.a.11340.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '945.A', 'old_label': '11340.vC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829766
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2835, 'diagramx': [1082, -1, 9001, -1], 'generators': [356995142748840, 1307714652720, 4132975381943344, 5646303513083095, 363000, 5160, 362886, 4131493350974777, 40279680, 5637940410855895, 5632341359540977, 356995142748721], 'label': '46448640.a.11340.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.w1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829767
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2835, 'diagramx': [1508, -1, 9075, -1], 'generators': [356995142748840, 1307714652720, 3778601815687385, 5646303513083095, 363000, 5160, 362886, 4131493350974777, 40279680, 5280939121650888, 5632341359540977, 356995142748721], 'label': '46448640.a.11340.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.x1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829768
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [2112, -1, 9180, -1], 'generators': [356995142748840, 1307714652720, 3778601815687385, 5646303513083095, 363000, 3774504435972496, 5160, 362886, 40279680, 5637940410855895, 5632341359540977, 356995142748721], 'label': '46448640.a.11340.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.K', 'old_label': '11340.y1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829769
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2835, 'diagramx': [288, -1, 8863, -1], 'generators': [356995142748840, 1307714652720, 4132975381943344, 5646303513083095, 363000, 5160, 362886, 4131493350974777, 40279680, 5280939121650888, 5632341359540977, 356995142748721], 'label': '46448640.a.11340.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.z1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829770
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [1271, -1, 9034, -1], 'generators': [356995142748840, 6227383680, 6227025966, 4132975381943344, 5646303513083095, 363000, 3774504435972496, 357001369769527, 5275352524377582, 40279680, 1313941673526, 5280939121650888], 'label': '46448640.a.11340.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.K', 'old_label': '11340.ba1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829771
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [830, -1, 8957, -1], 'generators': [356995142748840, 6227383680, 6227025966, 3778601815687385, 5646303513083095, 363000, 357001369769527, 4131493350974777, 5275352524377582, 40279680, 5637940410855895, 1313941673526], 'label': '46448640.a.11340.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.K', 'old_label': '11340.bb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829772
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [1019, -1, 8990, -1], 'generators': [356995142748840, 6227383680, 6227025966, 3778601815687385, 5646303513083095, 363000, 357001369769527, 4131493350974777, 5275352524377582, 40279680, 1313941673526, 5280939121650888], 'label': '46448640.a.11340.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.K', 'old_label': '11340.bc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829773
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1120.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1120, 'diagramx': [42, -1, 810, -1], 'generators': [356995142748840, 6227383680, 14035402494863, 2822883799686, 5631033598058455, 6267300486, 1313941310766, 1314250595143, 355687468025033, 5160, 33178158310, 1873341034023726, 356995142748721], 'label': '46448640.a.1120.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1120.C', 'old_label': '1120.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1120.C', 'subgroup_fusion': None, 'weyl_group': '41472.j'}
  • id: 66829774
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [1994, -1, 9160, -1], 'generators': [356995142748840, 6227383680, 6227025966, 3778601815687385, 5646303513083095, 363000, 3774504435972496, 357001369769527, 5275352524377582, 40279680, 1313941673526, 5280939121650888], 'label': '46448640.a.11340.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.K', 'old_label': '11340.bd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829775
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [1805, -1, 9127, -1], 'generators': [356995142748840, 6227383680, 6227025966, 4132975381943344, 363000, 5646303513083095, 3774504435972496, 357001369769527, 5275352524377582, 40279680, 5637940410855895, 1313941673526], 'label': '46448640.a.11340.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.K', 'old_label': '11340.be1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829776
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [1444, -1, 9064, -1], 'generators': [356995142748840, 6227383680, 6227025966, 4132975381943344, 363000, 5646303513083095, 357001369769527, 4131493350974777, 5275352524377582, 40279680, 5637940410855895, 1313941673526], 'label': '46448640.a.11340.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.K', 'old_label': '11340.bf1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829777
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [1931, -1, 9149, -1], 'generators': [356995142748840, 6227383680, 6227025966, 4132975381943344, 5646303513083095, 363000, 357001369769527, 4131493350974777, 5275352524377582, 40279680, 1313941673526, 5280939121650888], 'label': '46448640.a.11340.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.K', 'old_label': '11340.bg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829778
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 5670, 'diagramx': [103, -1, 8830, -1], 'generators': [356995142748840, 6227383680, 6227025966, 3778601815687385, 5646303513083095, 363000, 3774504435972496, 357001369769527, 5275352524377582, 40279680, 5637940410855895, 1313941673526], 'label': '46448640.a.11340.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.K', 'old_label': '11340.bh1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829779
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2835, 'diagramx': [659, -1, 8927, -1], 'generators': [8388757031056, 363000, 5289314598086088, 5160, 357001369769527, 362886, 4131493350974777, 40279680, 357001369769646, 1313941673526, 5632341359540977, 6227020806], 'label': '46448640.a.11340.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.bi1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829780
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 5670, 'diagramx': None, 'generators': [772768015862711, 363000, 5289314598086088, 5160, 357001369769527, 362886, 4131493350974777, 40279680, 357001369769646, 1313941673526, 5632341359540977, 6227020806], 'label': '46448640.a.11340.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.bjB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829781
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 5670, 'diagramx': None, 'generators': [4875023760393576, 2634909727600073, 363000, 5289314598086088, 5160, 1110221942866553, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.11340.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.I', 'old_label': '11340.bjC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829782
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 5670, 'diagramx': [1387, -1, 9054, -1], 'generators': [2634909727600073, 363000, 5289314598086088, 5160, 1110221942866553, 357001369769527, 362886, 3024073618703998, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.11340.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.bk1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829783
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 5670, 'diagramx': [2177, -1, 9192, -1], 'generators': [4132975381943344, 363000, 5289314598086088, 5160, 357001369769527, 362886, 40279680, 357001369769646, 5637940410855895, 1313941673526, 5632341359540977, 6227020806], 'label': '46448640.a.11340.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.K', 'old_label': '11340.bl1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829784
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1152.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1152, 'diagramx': [37, -1, 841, -1], 'generators': [1313941673647, 6907113965215, 9750553343983], 'label': '46448640.a.1152.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1152.a1', 'old_label': '1152.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1152.a1', 'subgroup_fusion': None, 'weyl_group': '20160.a'}
  • id: 66829785
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 2835, 'diagramx': [474, -1, 8895, -1], 'generators': [1125665999562377, 4875023760393576, 363000, 5289314598086088, 5160, 1110221942866553, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 6227020806], 'label': '46448640.a.11340.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2835.a1', 'old_label': '11340.bm1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829786
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 315, 'diagramx': [1751, -1, 9117, -1], 'generators': [363000, 5289314598086088, 5160, 357001369769527, 362886, 4131493350974777, 40279680, 357001369769646, 5637940410855895, 1313941673526, 5632341359540977, 6227020806], 'label': '46448640.a.11340.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '11340.bn1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BR', 'subgroup_fusion': None, 'weyl_group': '36864.g'}
  • id: 66829787
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '11340.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 5670, 'diagramx': [226, -1, 8852, -1], 'generators': [363000, 5289314598086088, 5160, 357001369769527, 362886, 40279680, 357001369769646, 369649455027856, 5637940410855895, 1313941673526, 5632341359540977, 6227020806], 'label': '46448640.a.11340.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5670.K', 'old_label': '11340.bo1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11340.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829788
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1283, -1, 9430, -1], 'generators': [357001369769646, 367920, 4884713746593961, 362886, 1307714652720, 40279680, 4533304457219767], 'label': '46448640.a.12096.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BP', 'old_label': '12096.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.A', 'subgroup_fusion': None, 'weyl_group': '1920.240996'}
  • id: 66829789
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1335, -1, 9439, -1], 'generators': [357001369769646, 367920, 4527724910704566, 362886, 1307714652720, 4888985698569720, 40279680], 'label': '46448640.a.12096.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BP', 'old_label': '12096.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.B', 'subgroup_fusion': None, 'weyl_group': '1920.240996'}
  • id: 66829790
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [415, -1, 9279, -1], 'generators': [355687428096120, 5160, 41091414, 356995142748721, 362886, 355687690539006, 40279680, 363000], 'label': '46448640.a.12096.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '12096.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.C', 'subgroup_fusion': None, 'weyl_group': '1920.240996'}
  • id: 66829791
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2150, -1, 9581, -1], 'generators': [3371372416362654, 2263772402829481, 355687428096120, 363000, 40279680, 356995142748721, 5160, 362886], 'label': '46448640.a.12096.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '12096.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.D', 'subgroup_fusion': None, 'weyl_group': '120932352.bd'}
  • id: 66829792
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [533, -1, 9299, -1], 'generators': [5160, 356995142748721, 3782867539484737, 5287826292554568, 362886, 1307714652720, 40279680, 356995142748840, 355687516811521, 363000], 'label': '46448640.a.12096.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '12096.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.E', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829793
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [467, -1, 9287, -1], 'generators': [5160, 356995142748721, 3782867539484737, 5642212233744294, 362886, 1307714652720, 40279680, 356995142748840, 355687516811521, 363000], 'label': '46448640.a.12096.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '12096.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.F', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829794
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [261, -1, 9252, -1], 'generators': [355687730455807, 357001369769646, 5160, 41091414, 355687428096001, 362886, 40279680, 363000], 'label': '46448640.a.12096.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '12096.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829795
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '120.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 240, 'diagramx': [55, -1, 68, -1], 'generators': [363000, 5160, 357001369769527, 362886, 40279680, 357001369769646, 2277720891094728, 1313941673526, 5628244281033169, 6227020806], 'label': '46448640.a.120.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '120.a1', 'old_label': '120.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.a1', 'subgroup_fusion': None, 'weyl_group': '387072.a'}
  • id: 66829796
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1260.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [108, -1, 861, -1], 'generators': [39957113, 1314338474591, 363007, 126, 18119369346895, 1313941310640, 1374822506281, 9709841450737, 40279680, 6703568231, 2795972619288, 177771311, 368046, 6227020806], 'label': '46448640.a.1260.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '630.C', 'old_label': '1260.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1260.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829797
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [797, -1, 9345, -1], 'generators': [4139868829415742, 355687516811521, 5287826292554568, 357001369406760, 1313941673526, 357001369769527, 363000, 40279680, 368046, 6227020806], 'label': '46448640.a.12096.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '12096.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.H', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829798
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [731, -1, 9334, -1], 'generators': [5642212233744294, 4139868829415742, 355687516811521, 357001369406760, 1313941673526, 357001369769527, 363000, 40279680, 368046, 6227020806], 'label': '46448640.a.12096.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '12096.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.I', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829799
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 12096, 'diagramx': [2266, -1, 9601, -1], 'generators': [5275379395613088, 357001631884217, 355687866777894, 1374861616975, 6960634364286, 1866225722071369, 355687428458880, 362886, 357001369406767, 6227020806], 'label': '46448640.a.12096.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12096.J', 'old_label': '12096.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.J', 'subgroup_fusion': None, 'weyl_group': '1920.238151'}
  • id: 66829800
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [1752, -1, 9511, -1], 'generators': [6227020806, 355687428458880, 357001369406767, 1866225722071369, 5636639919076543, 5631067083825216, 362886], 'label': '46448640.a.12096.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.V', 'old_label': '12096.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.K', 'subgroup_fusion': None, 'weyl_group': '3840.eb'}
  • id: 66829801
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [2097, -1, 9571, -1], 'generators': [376536842023391, 5275379395613088, 368173563977526, 1866225722071369, 355687428458880, 357001369406767, 362886, 6227020806], 'label': '46448640.a.12096.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.E', 'old_label': '12096.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.L', 'subgroup_fusion': None, 'weyl_group': '11520.cq'}
  • id: 66829802
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [2330, -1, 9612, -1], 'generators': [1110262091932222, 1864924275525430, 351976902, 357001369769646, 40279680, 357001369406767, 362886], 'label': '46448640.a.12096.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.V', 'old_label': '12096.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.M', 'subgroup_fusion': None, 'weyl_group': '1920.240505'}
  • id: 66829803
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [2204, -1, 9590, -1], 'generators': [5631066823346208, 73374347935, 1864918048066249, 39916920, 5160, 366892754900688, 357001369769527, 361286518094646, 1307674373040, 357001369769646], 'label': '46448640.a.12096.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.W', 'old_label': '12096.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.N', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829804
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [862, -1, 9357, -1], 'generators': [5275379395613088, 1509230619970255, 73374347935, 357001369769646, 1307674373040, 39916920, 366892754900688, 357001369769527, 361286518094646, 5160], 'label': '46448640.a.12096.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.X', 'old_label': '12096.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.O', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829805
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2884, -1, 9709, -1], 'generators': [4526223200771760, 5160, 357001369769527, 6227020920, 351976902, 764398984204920, 1307674373040, 356995102469160], 'label': '46448640.a.12096.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.B', 'old_label': '12096.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829806
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1232, -1, 9421, -1], 'generators': [357001369764607, 367920, 4527724910704566, 362886, 1307714652720, 40279680, 4890293372937721], 'label': '46448640.a.12096.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.P', 'old_label': '12096.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829807
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1260.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [679, -1, 960, -1], 'generators': [1314338474591, 363007, 126, 18119369346895, 1313941310640, 1374822506281, 9709841450737, 40279680, 39952079, 6703568231, 2795972619288, 177771311, 368046, 6227020806], 'label': '46448640.a.1260.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '630.C', 'old_label': '1260.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1260.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829808
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [223, -1, 9245, -1], 'generators': [4526223200771760, 5160, 6618914623, 357001369769527, 6227020920, 764398984204920, 1307674373040, 356995102469160], 'label': '46448640.a.12096.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.D', 'old_label': '12096.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829809
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1025, -1, 9385, -1], 'generators': [357001369764607, 367920, 4888991885315887, 362886, 4529026318492800, 1307714652720, 40279680], 'label': '46448640.a.12096.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '12096.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.S', 'subgroup_fusion': None, 'weyl_group': '1920.240996'}
  • id: 66829810
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [31, -1, 9212, -1], 'generators': [5160, 357001631486641, 357001369769527, 362886, 40279680, 356995142748840, 357001330291615, 363000], 'label': '46448640.a.12096.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '12096.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829811
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [599, -1, 9311, -1], 'generators': [357001369769646, 356995142748721, 6227025966, 5642212233744294, 6227383680, 1307714652720, 40279680, 4138554928026942, 355687516811521, 363000], 'label': '46448640.a.12096.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '12096.u1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.U', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829812
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [665, -1, 9322, -1], 'generators': [4138554928026942, 355687516811521, 357001369769646, 363000, 40279680, 5286518578627494, 1307714652720, 356995142748721, 6227025966, 6227383680], 'label': '46448640.a.12096.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '12096.v1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.V', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829813
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 12096, 'diagramx': [2019, -1, 9558, -1], 'generators': [357001369764607, 40284840, 1313941668606, 355687556728327, 5273864527311785, 11172408335585, 16751772167737, 357001369769646, 5046, 6227020806], 'label': '46448640.a.12096.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12096.W', 'old_label': '12096.w1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.W', 'subgroup_fusion': None, 'weyl_group': '960.11363'}
  • id: 66829814
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [127, -1, 9229, -1], 'generators': [357001631486641, 357001369769646, 363000, 357001330291615, 40279680, 357001369769527, 5160, 362886], 'label': '46448640.a.12096.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '12096.x1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.X', 'subgroup_fusion': None, 'weyl_group': '1920.240996'}
  • id: 66829815
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [1899, -1, 9537, -1], 'generators': [2263778629845241, 355687428096120, 363000, 40279680, 3016998850106569, 357001369769527, 5160, 362886], 'label': '46448640.a.12096.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.H', 'old_label': '12096.y1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.Y', 'subgroup_fusion': None, 'weyl_group': '5760.eh'}
  • id: 66829816
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 3024, 'diagramx': [2443, -1, 9632, -1], 'generators': [4139868829415742, 355687516811521, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.12096.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '12096.z1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829817
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [2788, -1, 9692, -1], 'generators': [6227020806, 355687428458880, 1314340462078, 5632368310615369, 362886, 1509236807069088, 5592825492336], 'label': '46448640.a.12096.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.V', 'old_label': '12096.ba1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BA', 'subgroup_fusion': None, 'weyl_group': '3840.eb'}
  • id: 66829818
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1260.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [305, -1, 895, -1], 'generators': [18113142326094, 1314338474591, 364083368526743, 363000, 5160, 6663651551, 1374822506281, 362886, 40279680, 121, 1313941673526, 177771311, 2795972619288, 6227020806], 'label': '46448640.a.1260.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '1260.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1260.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829819
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [2389, -1, 9623, -1], 'generators': [6227020806, 355687428458880, 1314340462078, 362886, 5275379395613088, 1509236807069088, 5592825492336], 'label': '46448640.a.12096.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.V', 'old_label': '12096.bb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BB', 'subgroup_fusion': None, 'weyl_group': '3840.eb'}
  • id: 66829820
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [1848, -1, 9528, -1], 'generators': [6227020806, 355687428458880, 355687866801238, 361280253583296, 5632368310615369, 362886, 1509236807069088], 'label': '46448640.a.12096.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.V', 'old_label': '12096.bc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BC', 'subgroup_fusion': None, 'weyl_group': '3840.eb'}
  • id: 66829821
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [1693, -1, 9501, -1], 'generators': [6227020806, 355687428458880, 355687866801238, 361280253583296, 362886, 5275379395613088, 1509236807069088], 'label': '46448640.a.12096.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.V', 'old_label': '12096.bd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BD', 'subgroup_fusion': None, 'weyl_group': '3840.eb'}
  • id: 66829822
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [2739, -1, 9684, -1], 'generators': [5276680882519368, 438686929, 39916920, 1509230619607369, 1374861616849, 6954447260281, 5160, 1307674373040, 121, 262119736], 'label': '46448640.a.12096.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.X', 'old_label': '12096.be1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BE', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829823
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [2690, -1, 9675, -1], 'generators': [5276680882519368, 39916920, 1509230619607369, 1374861616849, 6954447260281, 357001768529694, 5160, 1307674373040, 121, 262119736], 'label': '46448640.a.12096.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.X', 'old_label': '12096.bf1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829824
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1648, -1, 9493, -1], 'generators': [5160, 121, 5631067083825216, 1866231909533095, 5636646186014136, 39916920, 1307674373040], 'label': '46448640.a.12096.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.N', 'old_label': '12096.bg1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829825
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1128, -1, 9403, -1], 'generators': [5160, 753260802364222, 6618914623, 1864924275530590, 6227020920, 1307674373040, 356995102469160], 'label': '46448640.a.12096.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.D', 'old_label': '12096.bh1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829826
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [319, -1, 9262, -1], 'generators': [5160, 121, 39916920, 11172274041720, 5275379395613088, 20849413559465, 1307674373040, 1509230619970255], 'label': '46448640.a.12096.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.N', 'old_label': '12096.bi1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BI', 'subgroup_fusion': None, 'weyl_group': '5760.cm'}
  • id: 66829827
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1490, -1, 9466, -1], 'generators': [5160, 6618914623, 1510538254859944, 6227020920, 1110262091932096, 1307674373040, 356995102469160], 'label': '46448640.a.12096.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BB', 'old_label': '12096.bj1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BJ', 'subgroup_fusion': None, 'weyl_group': '1920.240996'}
  • id: 66829829
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1260.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [46, -1, 850, -1], 'generators': [18113142326094, 1314338474591, 9709881378622, 363000, 5160, 6663651551, 1374822506281, 362886, 40279680, 121, 1313941673526, 177771311, 2795972619288, 6227020806], 'label': '46448640.a.1260.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '1260.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1260.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829830
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': None, 'generators': [4890299559683886, 367920, 4527724910704566, 362886, 1307714652720, 40279680, 356995142748840], 'label': '46448640.a.12096.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '12096.blB', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829831
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': None, 'generators': [367920, 6227025847, 362886, 1307714652720, 40279680, 4883412338800686, 4890293372937721], 'label': '46448640.a.12096.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '12096.blC', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829832
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [922, -1, 9367, -1], 'generators': [367920, 4883412338795647, 362886, 1307714652720, 40279680, 356995142748840, 4533304457219767], 'label': '46448640.a.12096.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '12096.bm1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829833
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2951, -1, 9720, -1], 'generators': [764398984567801, 4526223200771760, 6618551623, 357001329852721, 356995102469160, 1307674373040, 6227020920, 5160], 'label': '46448640.a.12096.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '12096.bn1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829834
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1572, -1, 9480, -1], 'generators': [4527724910704687, 367920, 4890299559683767, 362886, 1307714652720, 40279680, 356995142748840], 'label': '46448640.a.12096.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '12096.bo1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829835
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1610, -1, 9487, -1], 'generators': [4888985698569601, 367920, 4529026318492921, 362886, 1307714652720, 40279680, 356995142748840], 'label': '46448640.a.12096.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.U', 'old_label': '12096.bp1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BQ', 'subgroup_fusion': None, 'weyl_group': '3840.ch'}
  • id: 66829836
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1535, -1, 9474, -1], 'generators': [367920, 362886, 4884713746593840, 1307714652720, 40279680, 4534605944841720, 356995142748840], 'label': '46448640.a.12096.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '12096.bq1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829837
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [376, -1, 9272, -1], 'generators': [764398984567801, 4526223200771760, 6618914623, 357001329852721, 356995102469160, 1307674373040, 6227020920, 5160], 'label': '46448640.a.12096.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '12096.br1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829838
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1180, -1, 9412, -1], 'generators': [367920, 4884713746588920, 4888991885315887, 6227025847, 362886, 1307714652720, 40279680], 'label': '46448640.a.12096.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.Q', 'old_label': '12096.bs1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BT', 'subgroup_fusion': None, 'weyl_group': '1920.240996'}
  • id: 66829839
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [973, -1, 9376, -1], 'generators': [367920, 362886, 4529026318492800, 1307714652720, 4888985698569720, 40279680, 356995142748840], 'label': '46448640.a.12096.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '12096.bt1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829840
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1260.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 315, 'diagramx': [364, -1, 906, -1], 'generators': [18113142326094, 357001329887878, 1314338474591, 363000, 5160, 6663651551, 1374822506281, 362886, 40279680, 121, 1313941673526, 177771311, 2795972619288, 6227020806], 'label': '46448640.a.1260.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '1260.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1260.E', 'subgroup_fusion': None, 'weyl_group': '36864.g'}
  • id: 66829841
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2545, -1, 9649, -1], 'generators': [16751772172657, 5273864527311785, 368173738183384, 355687516811521, 356995142748721, 363000, 40279680, 1307714652720, 356995142385966, 368046], 'label': '46448640.a.12096.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '12096.bu1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BV', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829842
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2496, -1, 9641, -1], 'generators': [16751772172657, 5273864527311785, 11172448247471, 355687516811521, 356995142748721, 1307714652720, 356995142385966, 363000, 40279680, 368046], 'label': '46448640.a.12096.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '12096.bv1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BW', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829843
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2642, -1, 9667, -1], 'generators': [16751772172657, 5273864527311785, 11172448247345, 355687516811521, 356995142748721, 363000, 40279680, 1307714652720, 356995142385966, 368046], 'label': '46448640.a.12096.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '12096.bw1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BX', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829844
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2593, -1, 9658, -1], 'generators': [355687516811521, 1307714652720, 16751772172657, 363000, 5273864527311785, 368173738183270, 40279680, 356995142748721, 356995142385966, 368046], 'label': '46448640.a.12096.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BR', 'old_label': '12096.bx1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BY', 'subgroup_fusion': None, 'weyl_group': '3840.de'}
  • id: 66829845
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [69, -1, 9218, -1], 'generators': [355687730455807, 5160, 41091414, 355687428096001, 362886, 40279680, 356995142748840, 363000], 'label': '46448640.a.12096.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.I', 'old_label': '12096.by1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829846
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1386, -1, 9448, -1], 'generators': [367920, 5041, 4888991885315887, 362886, 1307714652720, 40279680, 4883412338800686], 'label': '46448640.a.12096.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BP', 'old_label': '12096.bz1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.CA', 'subgroup_fusion': None, 'weyl_group': '1920.240996'}
  • id: 66829847
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2831, -1, 9700, -1], 'generators': [4520643916683016, 5160, 4135765261783816, 1307714652720, 40279680, 356995142748840, 363000], 'label': '46448640.a.12096.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BI', 'old_label': '12096.ca1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.CB', 'subgroup_fusion': None, 'weyl_group': '5760.eh'}
  • id: 66829848
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1805, -1, 9521, -1], 'generators': [5160, 4520650143345856, 1307714652720, 40279680, 3780084060345616, 356995142748840, 363000], 'label': '46448640.a.12096.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BI', 'old_label': '12096.cb1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.CC', 'subgroup_fusion': None, 'weyl_group': '3840.cn'}
  • id: 66829849
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1438, -1, 9457, -1], 'generators': [367920, 4884713746588920, 5041, 362886, 1307714652720, 40279680, 4890293372937721], 'label': '46448640.a.12096.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.BP', 'old_label': '12096.cc1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.CD', 'subgroup_fusion': None, 'weyl_group': '1920.240996'}
  • id: 66829850
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [186, -1, 9238, -1], 'generators': [355687730455807, 355687428096120, 5160, 41091414, 355687428096001, 362886, 40279680, 363000], 'label': '46448640.a.12096.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.H', 'old_label': '12096.cd1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829851
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1260.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 315, 'diagramx': [245, -1, 885, -1], 'generators': [18113142326094, 39957113, 1314338474591, 363000, 5160, 6663651551, 1374822506281, 362886, 40279680, 121, 1313941673526, 177771311, 2795972619288, 6227020806], 'label': '46448640.a.1260.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '1260.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1260.F', 'subgroup_fusion': None, 'weyl_group': '77120.g'}
  • id: 66829852
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12096.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1951, -1, 9546, -1], 'generators': [355687428096120, 5160, 2618152116277687, 355687428096001, 3371372416362654, 362886, 40279680, 363000], 'label': '46448640.a.12096.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.S', 'old_label': '12096.ce1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.CF', 'subgroup_fusion': None, 'weyl_group': '3840.cn'}
  • id: 66829853
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '12960.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 4320, 'diagramx': [37, -1, 9731, -1], 'generators': [2277760864354543, 3784188583526694, 357001369769646, 363000, 1313941673526, 40279680, 362886, 357001369769527, 5160, 6227020806], 'label': '46448640.a.12960.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4320.A', 'old_label': '12960.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12960.a1', 'subgroup_fusion': None, 'weyl_group': '20000.hg'}
  • id: 66829854
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 13440, 'diagramx': [538, -1, 9826, -1], 'generators': [576, 3375476110505808, 8396027141167, 365383984855969, 2263758727875246, 357001369769646, 366866015811121, 357001369769527, 1307674735926, 126], 'label': '46448640.a.13440.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13440.A', 'old_label': '13440.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.A', 'subgroup_fusion': None, 'weyl_group': '1728.47870'}
  • id: 66829855
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6720, 'diagramx': [1231, -1, 9947, -1], 'generators': [2263758687595440, 6227021377, 365383984855969, 365397396905520, 368173649899440, 356995142743680, 357001369764607, 1313941310640, 367920, 6266937600], 'label': '46448640.a.13440.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6720.I', 'old_label': '13440.b1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.B', 'subgroup_fusion': None, 'weyl_group': '1728.47853'}
  • id: 66829856
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6720, 'diagramx': [1183, -1, 9939, -1], 'generators': [2263758687595440, 6227021377, 364070043192654, 365397396905520, 357001369764607, 356995142743680, 368173649899440, 1313941310640, 367920, 6266937600], 'label': '46448640.a.13440.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6720.I', 'old_label': '13440.c1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.C', 'subgroup_fusion': None, 'weyl_group': '1728.47853'}
  • id: 66829857
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6720, 'diagramx': [1280, -1, 9956, -1], 'generators': [2263758687595440, 6227021377, 364083455232127, 364070043192654, 357001369764607, 356995142743680, 368173649899440, 1313941310640, 367920, 6266937600], 'label': '46448640.a.13440.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6720.I', 'old_label': '13440.d1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.D', 'subgroup_fusion': None, 'weyl_group': '1728.47853'}
  • id: 66829858
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6720, 'diagramx': [1328, -1, 9964, -1], 'generators': [2263758687595440, 6227021377, 364083455232127, 365383984855969, 357001369764607, 356995142743680, 368173649899440, 1313941310640, 367920, 6266937600], 'label': '46448640.a.13440.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6720.I', 'old_label': '13440.e1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.E', 'subgroup_fusion': None, 'weyl_group': '1728.47853'}
  • id: 66829859
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [287, -1, 9783, -1], 'generators': [1327528339320, 1307714653296, 356995142748721, 6267300486, 363000, 356995142748840, 1307714652720, 1117290519440041, 6227025966, 362886], 'label': '46448640.a.13440.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '13440.f1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.F', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829860
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6720, 'diagramx': [222, -1, 9771, -1], 'generators': [2618138481598207, 364070043192654, 1307714653422, 357001369764607, 40279680, 1307714652720, 356995142743680, 368173649899440, 367920, 6227383680], 'label': '46448640.a.13440.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6720.I', 'old_label': '13440.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.G', 'subgroup_fusion': None, 'weyl_group': '1728.47853'}
  • id: 66829861
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [40, -1, 9739, -1], 'generators': [576, 2618138481598086, 363000, 366866015806201, 5160, 357001369769527, 362886, 365383984855969, 1307674373040, 357001369769646], 'label': '46448640.a.13440.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '13440.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.H', 'subgroup_fusion': None, 'weyl_group': '1152.157849'}
  • id: 66829862
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1260.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [429, -1, 917, -1], 'generators': [39957113, 356995538726704, 1314338474591, 126, 372499163349408, 357001369406760, 1313941310640, 1374822506281, 357001369769527, 40279680, 177771311, 2795972619288, 368046, 6227020806], 'label': '46448640.a.1260.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '630.E', 'old_label': '1260.g1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1260.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829863
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6720, 'diagramx': [774, -1, 9867, -1], 'generators': [3374168436137935, 2618138481598207, 1307714653296, 357001369764607, 356995142743680, 368173649899440, 1307714652720, 367920, 40279680, 6227383680], 'label': '46448640.a.13440.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6720.G', 'old_label': '13440.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.I', 'subgroup_fusion': None, 'weyl_group': '3456.fr'}
  • id: 66829864
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6720, 'diagramx': [482, -1, 9817, -1], 'generators': [367920, 6266937600, 364076310487968, 8402294441520, 356995142386416, 1313941310640, 2263758687595440, 3375469843200288, 356995142743680, 368173649899440], 'label': '46448640.a.13440.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6720.Y', 'old_label': '13440.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829865
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6720, 'diagramx': [339, -1, 9791, -1], 'generators': [367920, 6266937600, 9696556759968, 8402294441520, 356995142386416, 1313941310640, 2263758687595440, 3375469843200288, 356995142743680, 368173649899440], 'label': '46448640.a.13440.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6720.Y', 'old_label': '13440.k1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829866
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6720, 'diagramx': [434, -1, 9808, -1], 'generators': [2263758687595440, 355693655117383, 3018481008041934, 365383984855969, 365397396905520, 368173649899440, 356995142743680, 1313941310640, 367920, 6266937600], 'label': '46448640.a.13440.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6720.W', 'old_label': '13440.l1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.L', 'subgroup_fusion': None, 'weyl_group': '3456.cy'}
  • id: 66829867
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6720, 'diagramx': [387, -1, 9800, -1], 'generators': [2263758687595440, 355693655117383, 3018481008041934, 8388882391969, 365397396905520, 368173649899440, 356995142743680, 1313941310640, 367920, 6266937600], 'label': '46448640.a.13440.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6720.W', 'old_label': '13440.m1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.M', 'subgroup_fusion': None, 'weyl_group': '3456.cy'}
  • id: 66829868
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [915, -1, 9892, -1], 'generators': [1313941310640, 6266937600, 355693655117383, 356995142385966, 126, 9696556759975, 356995142385847, 2263764954533166, 368046, 368173649899561], 'label': '46448640.a.13440.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '13440.n1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.N', 'subgroup_fusion': None, 'weyl_group': '983040.ga'}
  • id: 66829869
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1680, 'diagramx': [1011, -1, 9909, -1], 'generators': [355693655117383, 2263764954533166, 364070043192649, 1313941310640, 368173649899561, 356995142385847, 126, 356995142385966, 6266937600, 368046], 'label': '46448640.a.13440.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1680.G', 'old_label': '13440.o1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.O', 'subgroup_fusion': None, 'weyl_group': '6912.jj'}
  • id: 66829870
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 840, 'diagramx': [963, -1, 9900, -1], 'generators': [355693655117383, 2263764954533166, 364076270213329, 1313941310640, 368173649899561, 356995142385847, 126, 356995142385966, 6266937600, 368046], 'label': '46448640.a.13440.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '840.A', 'old_label': '13440.p1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.P', 'subgroup_fusion': None, 'weyl_group': '13824.bd'}
  • id: 66829871
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [1455, -1, 9986, -1], 'generators': [355693655117383, 2263764954533166, 3375476110505808, 1313941310640, 368173649899561, 356995142385847, 126, 356995142385966, 6266937600, 368046], 'label': '46448640.a.13440.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.A', 'old_label': '13440.q1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.Q', 'subgroup_fusion': None, 'weyl_group': '10240.i'}
  • id: 66829872
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 26880, 'diagramx': [92, -1, 9749, -1], 'generators': [2630638377186888, 4875090781070142, 2625066153556128, 6046618825509241, 356995142748721, 363000, 1313941673526, 357001369406760, 39916806, 6227388840], 'label': '46448640.a.13440.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13440.R', 'old_label': '13440.r1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.R', 'subgroup_fusion': None, 'weyl_group': '3456.cf'}
  • id: 66829873
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1260.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 630, 'diagramx': [556, -1, 939, -1], 'generators': [357001329887878, 356995538726704, 1314338474591, 126, 372499163349408, 357001369406760, 1313941310640, 1374822506281, 357001369769527, 40279680, 177771311, 2795972619288, 368046, 6227020806], 'label': '46448640.a.1260.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '630.E', 'old_label': '1260.h1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1260.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829874
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 13440, 'diagramx': [152, -1, 9759, -1], 'generators': [1122896803778046, 6227020806, 6039739190027945, 357022103558263, 357001329489847, 362886, 1313901388926, 3786951638965984, 39921840, 357001329484806], 'label': '46448640.a.13440.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '13440.S', 'old_label': '13440.s1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.S', 'subgroup_fusion': None, 'weyl_group': '3456.cd'}
  • id: 66829875
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6720, 'diagramx': [1389, -1, 9975, -1], 'generators': [355687428096120, 6227020806, 39916806, 364070043192649, 355687428096001, 126, 2618138481235200, 9709968804601, 366859788790441, 6227021377], 'label': '46448640.a.13440.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6720.I', 'old_label': '13440.t1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.T', 'subgroup_fusion': None, 'weyl_group': '1728.47853'}
  • id: 66829876
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [1121, -1, 9928, -1], 'generators': [6227021377, 364070043192649, 2618138481235200, 8396027141167, 355687428096120, 366859788790441, 126, 355687428096001, 39916806, 6227020806], 'label': '46448640.a.13440.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '13440.u1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.U', 'subgroup_fusion': None, 'weyl_group': '3456.cy'}
  • id: 66829877
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [853, -1, 9881, -1], 'generators': [367920, 6227383680, 1307714652720, 1307714653296, 3019782415467168, 365397396905520, 2263758687595440, 40279680, 356995142743680, 368173649899440], 'label': '46448640.a.13440.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '13440.v1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.V', 'subgroup_fusion': None, 'weyl_group': '6912.ex'}
  • id: 66829878
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [1511, -1, 9996, -1], 'generators': [367920, 6227383680, 1307714652720, 3019782415104289, 365397396905520, 2263758687595440, 355693655117383, 40279680, 356995142743680, 368173649899440], 'label': '46448640.a.13440.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '13440.w1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.W', 'subgroup_fusion': None, 'weyl_group': '6912.ex'}
  • id: 66829879
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [598, -1, 9837, -1], 'generators': [1108908078969600, 3775819247383807, 357014956435200, 1307714653296, 367920, 1307714652720, 356995142743680, 1117290519439920, 40279680, 6227383680], 'label': '46448640.a.13440.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '13440.x1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829880
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [655, -1, 9846, -1], 'generators': [1108908078969600, 4130205227774640, 357014956435200, 1307714653296, 367920, 1307714652720, 356995142743680, 1117290519439920, 40279680, 6227383680], 'label': '46448640.a.13440.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '13440.y1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.Y', 'subgroup_fusion': None, 'weyl_group': '3200.go'}
  • id: 66829881
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 3360, 'diagramx': [1059, -1, 9917, -1], 'generators': [6227021377, 8396027136007, 364070043187615, 2618138481235200, 355687428096120, 368173649899561, 126, 355687428096001, 39916806, 6227020806], 'label': '46448640.a.13440.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3360.I', 'old_label': '13440.z1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66829882
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '13440.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 6720, 'diagramx': [707, -1, 9856, -1], 'generators': [367920, 6227383680, 1307714652720, 3019782415104289, 2263758687595440, 355693655117383, 40279680, 364083455232127, 356995142743680, 368173649899440], 'label': '46448640.a.13440.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6720.G', 'old_label': '13440.ba1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13440.BA', 'subgroup_fusion': None, 'weyl_group': '3456.fr'}
  • id: 66829883
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '181440.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '181440.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 4130, -1, 5807], 'generators': [357001369769646, 5160, 6227020806, 357001369769527, 362886, 40279680, 1313941673526, 363000], 'label': '46448640.a.181440.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '181440.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '181440.a1.N', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '181440.A', 'subgroup_fusion': None, 'weyl_group': '181440.b'}
  • id: 66829884
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1260.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 315, 'diagramx': [494, -1, 928, -1], 'generators': [1314338474591, 372499163349408, 363000, 5160, 6663651551, 1374822506281, 357001369769527, 362886, 40279680, 357001369769646, 1313941673526, 357001547177824, 2795972619288, 6227020806], 'label': '46448640.a.1260.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '315.a1', 'old_label': '1260.i1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1260.I', 'subgroup_fusion': None, 'weyl_group': '36864.g'}
  • id: 66829885
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '573440.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 286720, 'diagramx': None, 'generators': [2618151980371200, 3032463371207161, 5629618976043190, 40324055328], 'label': '46448640.a.573440.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '573440.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '573440.a1', 'subgroup_fusion': None, 'weyl_group': '54.8'}
  • id: 66829886
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '6635520.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 276480, 'diagramx': None, 'generators': [18092804913065], 'label': '46448640.a.6635520.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6635520.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6635520.a1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66829887
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '9289728.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 12096, 'diagramx': None, 'generators': [5647785416202833], 'label': '46448640.a.9289728.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12096.J', 'old_label': '9289728.a1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9289728.a1', 'subgroup_fusion': None, 'weyl_group': '4.1'}
  • id: 66829888
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '46448640.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '46448640.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 3033, -1, 8911], 'generators': [], 'label': '46448640.a.46448640.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '46448640.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '46448640.a1.N', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46448640.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66829889
    {'ambient': '46448640.a', 'aut_centralizer_order': None, 'aut_label': '1260.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '181440.A', 'coset_action_label': None, 'count': 1260, 'diagramx': [617, -1, 950, -1], 'generators': [1864924235608624, 363000, 15269701293487, 5160, 357001369769527, 362886, 756016409854072, 389451294, 40279680, 86827507198, 357001369769646, 1313941673526, 3372686317756369, 6227020806], 'label': '46448640.a.1260.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1260.J', 'old_label': '1260.j1', 'projective_image': '46448640.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1260.J', 'subgroup_fusion': None, 'weyl_group': None}