Abstract group data - 1889568.s

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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': '2.1', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 36, 'aut_gen_orders': [6, 18, 6, 12], 'aut_gens': [[436257544164771196801026329, 853225894940281122564068095], [5652595166949330761810218189, 3754413700911264297925147872], [2987008561566390482435716636, 2125871331977869799533116091], [4039124715691114798256359844, 1852105075169700879011386553], [4537034565995122367627756334, 1276944955522987782113260991]], 'aut_group': '15116544.dx', 'aut_hash': 1339262283444065631, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 15116544, 'aut_permdeg': 972, 'aut_perms': [244382488110694051054353532724720454505275030909024907938327949489129508547688360033725643236539576188530558157616553852826254339344672061674156229957628002293199304428789235906417230336669534181321140241010160060354683540924474911816419324733785208824769819550898021853106032774350234488437168164647542886410586981323829002956279233627823742390732476072876950597870652534586386494404528488639868136068645455371032368705137741226857815993725798280458104732391516412476912249050463811093469074043775800713973134775170555168290744588764525202185467244176159282415894756799901231236217379580360346003383827574510750386708290721394920609548412935112677607445693670617061977291749431505375761798698743112878718571452994828862304559107500487926241900688329953743776271087190714157146111597536807137083782579349206956570166140238885000140131202735726649892138521265878392708311904831958141919418192402461742103216748447245365945031798309820612752376731148008621984835164618234414079842584906547587007447807619661584466144608745421560170036721659818874868583504862391693314477042334566108941791563227446165949180580958180324435345456122257873084527179770603678468491191796748304668109091801112157570054873351984664638842653374622830908834215794618645565101351941115940896486268958057165942960471036636258883173315303143478530939326624488924274537692008795588089665817289517263974491284403080112938373928308417800724037864806475463405801418885207650105578758439227492562157027276619566338465573533239760825024373486513405174864943292280145562009657959001183093491106713329409044425231991360185518357605725266553301424875052940819208495552158047780443915254981665681719250957598115505082238373590943171442049890640223851266978566922736688274128463198869386843140541491372800542374701456755859279640379410071478630983776824604466693720153303810331314630477627276840490178681952007746204156174159157399543538343963398767639717640789964960031338505030805378503434249296876993675149142431459309565957940703960753609250231787815950109470019178385664130092928766940507380789465544683139717033952108977523274260235501009451537155944658074300961275970635700273805391908188326020445979307210052956434355157546768066301281501175333912764886161045156574783265370000620271586984735524088434618328995896310944189420406603809486351344845841315168943394168308105715500617971922621766973474597353009208820407964501919509260119098902576030015057280738452225394692366732853378570242527907788634353666283711952172, 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'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 243, 1, 1], [2, 486, 1, 1], [2, 972, 1, 1], [2, 2187, 2, 1], [3, 4, 2, 1], [3, 6, 1, 1], [3, 8, 2, 1], [3, 12, 1, 3], [3, 12, 2, 2], [3, 16, 2, 1], [3, 16, 4, 1], [3, 24, 1, 4], [3, 24, 2, 4], [3, 32, 1, 1], [3, 32, 2, 1], [3, 32, 4, 1], [3, 48, 1, 5], [3, 48, 2, 15], [3, 48, 4, 8], [3, 48, 8, 1], [3, 96, 1, 2], [3, 96, 2, 23], [3, 96, 4, 16], [3, 96, 8, 6], [3, 23328, 1, 1], [4, 8748, 1, 1], [4, 78732, 2, 1], [6, 486, 1, 1], [6, 972, 1, 7], [6, 972, 2, 4], [6, 1944, 1, 10], [6, 1944, 2, 12], [6, 1944, 4, 2], [6, 3888, 1, 5], [6, 3888, 2, 16], [6, 3888, 4, 9], [6, 3888, 8, 1], [6, 4374, 2, 1], [6, 8748, 2, 2], [6, 17496, 2, 2], [9, 23328, 2, 3], [9, 23328, 4, 3], [9, 23328, 8, 1], [12, 8748, 2, 1], [12, 17496, 1, 2], [12, 17496, 2, 3], [12, 17496, 4, 1], [12, 157464, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^6.C_6^3:(C_2^2\\times S_4)', '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': 36, 'autcentquo_group': '15116544.dx', 'autcentquo_hash': 1339262283444065631, 'autcentquo_nilpotent': False, 'autcentquo_order': 15116544, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^6.C_6^3:(C_2^2\\times S_4)', 'cc_stats': [[1, 1, 1], [2, 243, 1], [2, 486, 1], [2, 972, 1], [2, 2187, 2], [3, 4, 2], [3, 6, 1], [3, 8, 2], [3, 12, 7], [3, 16, 6], [3, 24, 12], [3, 32, 7], [3, 48, 75], [3, 96, 160], [3, 23328, 1], [4, 8748, 1], [4, 78732, 2], [6, 486, 1], [6, 972, 15], [6, 1944, 42], [6, 3888, 81], [6, 4374, 2], [6, 8748, 4], [6, 17496, 4], [9, 23328, 26], [12, 8748, 2], [12, 17496, 12], [12, 157464, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '1889568.s', 'commutator_count': 2, 'commutator_label': '944784.bi', 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 15, 'conjugacy_classes_known': True, 'counter': 19, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 243, 1, 1], [2, 486, 1, 1], [2, 972, 1, 1], [2, 2187, 1, 2], [3, 4, 2, 1], [3, 6, 1, 1], [3, 8, 2, 1], [3, 12, 1, 5], [3, 12, 2, 1], [3, 16, 2, 3], [3, 24, 1, 8], [3, 24, 2, 2], [3, 32, 1, 1], [3, 32, 2, 3], [3, 48, 1, 23], [3, 48, 2, 26], [3, 96, 1, 28], [3, 96, 2, 66], [3, 23328, 1, 1], [4, 8748, 1, 1], [4, 78732, 1, 2], [6, 486, 1, 1], [6, 972, 1, 9], [6, 972, 2, 3], [6, 1944, 1, 22], [6, 1944, 2, 10], [6, 3888, 1, 23], [6, 3888, 2, 29], [6, 4374, 1, 2], [6, 8748, 1, 4], [6, 17496, 1, 4], [9, 23328, 1, 2], [9, 23328, 2, 12], [12, 8748, 2, 1], [12, 17496, 1, 2], [12, 17496, 2, 3], [12, 17496, 4, 1], [12, 157464, 1, 2]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 36, 'exponents_of_order': [10, 5], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[12, 0, 8], [16, 0, 8], [24, 0, 24], [24, 1, 22], [32, 0, 22], [48, 0, 100], [48, 1, 34], [96, 0, 130], [96, 1, 28]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1889568.s', 'hash': 3720970537705713572, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 36, 'inner_gen_orders': [9, 12], 'inner_gens': [[436257544164771196801026329, 5726277974400869598410604983], [4562965890084800235045399284, 853225894940281122564068095]], 'inner_hash': 3720970537705713572, 'inner_nilpotent': False, 'inner_order': 1889568, 'inner_split': True, 'inner_tex': 'C_3^9.C_2^4.S_3', 'inner_used': [1, 2], 'irrC_degree': 12, 'irrQ_degree': 24, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 2], [2, 1], [3, 6], [4, 4], [6, 9], [8, 8], [12, 38], [16, 12], [24, 56], [32, 27], [48, 150], [96, 160]], 'label': '1889568.s', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': None, 'name': 'C3^9.C2^4.S3', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 192, 'number_characteristic_subgroups': 9, 'number_conjugacy_classes': 473, 'number_divisions': 309, 'number_normal_subgroups': 11, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 1889568, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 6075], [3, 43010], [4, 166212], [6, 525366], [9, 606528], [12, 542376]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[3769980860804296748941947929, 3297800738483724167853994495], [2067339950905653156317000729, 853225894966267302289296895], [436257544164771196801026808, 853225894940281122564258614]], 'outer_group': '8.5', 'outer_hash': 5, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 6, 'outer_perms': [1, 6, 120], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3', 'pc_rank': None, 'perfect': False, 'permutation_degree': 27, 'pgroup': 0, 'primary_abelian_invariants': [2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 2], [2, 1], [3, 6], [6, 5], [8, 2], [12, 28], [16, 4], [24, 36], [32, 9], [48, 57], [64, 12], [96, 81], [192, 66]], 'representations': {'PC': {'code': '9752423227741044984739330014511424995048530244768453682726908930644151215042918620052152022469511514338305585472921249203330689052244743468938780017514062106612402703649403724539980522112586964426959390593074699947208399469086732821866157357399350238669924133907768436159647716402616397018233768290743887949473994881853354104563169596076549169342135605402079547650561583626941029979652060236332120848689836035542490578065862981571111817930433707353471', 'gens': [1, 2, 3, 4, 6, 8, 10, 11, 12, 13, 14, 15], 'pres': [15, 2, 3, 2, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 26852940, 3474301, 5513056, 29470772, 13153067, 362912, 76282203, 50540058, 7683033, 168, 29106004, 23814919, 20553034, 150222605, 21234710, 3258395, 8705390, 7027895, 260, 100245606, 37830261, 5076, 2571, 2116087, 76224262, 32287717, 16221652, 3605107, 3682, 352, 233288, 48114023, 38918, 19493, 3323, 211809609, 1494024, 46893639, 43254, 10884, 275568490, 24377785, 38562520, 6055, 293984651, 141216506, 751721, 6674456, 1918166, 772316, 356513052, 28824147, 43552122, 2527257, 63297, 297743053, 181468, 7348378, 1224808, 204238, 214687814, 9271829, 20962844, 14596259, 1976489, 658919]}, 'Perm': {'d': 27, 'gens': [436257544164771196801026329, 853225894940281122564068095]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 18, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^9.C_2^4.S_3', 'transitive_degree': 36, '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: 99646729
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 19, 'group_order': 1889568, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 99646840
    {'aut_label': '2A', 'centralizer': None, 'counter': 2, 'group_counter': 19, 'group_order': 1889568, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 96249819671671289057280000, 'size': 243}
  • id: 99646951
    {'aut_label': '2B', 'centralizer': None, 'counter': 3, 'group_counter': 19, 'group_order': 1889568, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 93741052480108374125031057, 'size': 486}
  • id: 99647062
    {'aut_label': '2C', 'centralizer': None, 'counter': 4, 'group_counter': 19, 'group_order': 1889568, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 33507841157965102682482231, 'size': 972}
  • id: 99647147
    {'aut_label': '2D', 'centralizer': None, 'counter': 5, 'group_counter': 19, 'group_order': 1889568, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 124945152204294807397690322, 'size': 2187}
  • id: 99647158
    {'aut_label': '2D', 'centralizer': None, 'counter': 6, 'group_counter': 19, 'group_order': 1889568, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 3453091606232633715218050566, 'size': 2187}
  • id: 99647169
    {'aut_label': '3A1', 'centralizer': '4.A', 'counter': 7, 'group_counter': 19, 'group_order': 1889568, 'label': '3A1', 'order': 3, 'powers': [8, 1], 'representative': 189316, 'size': 4}
  • id: 99647180
    {'aut_label': '3A1', 'centralizer': '4.A', 'counter': 8, 'group_counter': 19, 'group_order': 1889568, 'label': '3A-1', 'order': 3, 'powers': [7, 1], 'representative': 236413, 'size': 4}
  • id: 99647191
    {'aut_label': '3B', 'centralizer': '6.D', 'counter': 9, 'group_counter': 19, 'group_order': 1889568, 'label': '3B', 'order': 3, 'powers': [9, 1], 'representative': 31110, 'size': 6}
  • id: 99646730
    {'aut_label': '3C1', 'centralizer': '8.B', 'counter': 10, 'group_counter': 19, 'group_order': 1889568, 'label': '3C1', 'order': 3, 'powers': [11, 1], 'representative': 2497493959107982828634995200, 'size': 8}
  • id: 99646741
    {'aut_label': '3C1', 'centralizer': '8.B', 'counter': 11, 'group_counter': 19, 'group_order': 1889568, 'label': '3C-1', 'order': 3, 'powers': [10, 1], 'representative': 934018804997729363514873600, 'size': 8}
  • id: 99646752
    {'aut_label': '3D', 'centralizer': '12.C', 'counter': 12, 'group_counter': 19, 'group_order': 1889568, 'label': '3D', 'order': 3, 'powers': [12, 1], 'representative': 62692472375182416044678400, 'size': 12}
  • id: 99646763
    {'aut_label': '3E', 'centralizer': '12.J', 'counter': 13, 'group_counter': 19, 'group_order': 1889568, 'label': '3E', 'order': 3, 'powers': [13, 1], 'representative': 32389899029913600, 'size': 12}
  • id: 99646774
    {'aut_label': '3E', 'centralizer': '12.J', 'counter': 14, 'group_counter': 19, 'group_order': 1889568, 'label': '3F', 'order': 3, 'powers': [14, 1], 'representative': 2497358976819512470343078400, 'size': 12}
  • id: 99646785
    {'aut_label': '3G', 'centralizer': '12.H', 'counter': 15, 'group_counter': 19, 'group_order': 1889568, 'label': '3G', 'order': 3, 'powers': [15, 1], 'representative': 228488, 'size': 12}
  • id: 99646796
    {'aut_label': '3H', 'centralizer': '12.A', 'counter': 16, 'group_counter': 19, 'group_order': 1889568, 'label': '3H', 'order': 3, 'powers': [16, 1], 'representative': 124951797324691528359168000, 'size': 12}
  • id: 99646807
    {'aut_label': '3I1', 'centralizer': '12.A', 'counter': 17, 'group_counter': 19, 'group_order': 1889568, 'label': '3I1', 'order': 3, 'powers': [18, 1], 'representative': 2543892400172041835716801353, 'size': 12}
  • id: 99646818
    {'aut_label': '3I1', 'centralizer': '12.A', 'counter': 18, 'group_counter': 19, 'group_order': 1889568, 'label': '3I-1', 'order': 3, 'powers': [17, 1], 'representative': 871163713565434991936509953, 'size': 12}
  • id: 99646829
    {'aut_label': '3J1', 'centralizer': '16.a1', 'counter': 19, 'group_counter': 19, 'group_order': 1889568, 'label': '3J1', 'order': 3, 'powers': [20, 1], 'representative': 2435443292211864309330472753, 'size': 16}
  • id: 99646841
    {'aut_label': '3J1', 'centralizer': '16.a1', 'counter': 20, 'group_counter': 19, 'group_order': 1889568, 'label': '3J-1', 'order': 3, 'powers': [19, 1], 'representative': 824810945224144713144941776, 'size': 16}
  • id: 99646852
    {'aut_label': '3J1', 'centralizer': '16.a1', 'counter': 21, 'group_counter': 19, 'group_order': 1889568, 'label': '3K1', 'order': 3, 'powers': [22, 1], 'representative': 824810945345789813513814916, 'size': 16}
  • id: 99646863
    {'aut_label': '3J1', 'centralizer': '16.a1', 'counter': 22, 'group_counter': 19, 'group_order': 1889568, 'label': '3K-1', 'order': 3, 'powers': [21, 1], 'representative': 2435443292090219208961599613, 'size': 16}
  • id: 99646874
    {'aut_label': '3L1', 'centralizer': '16.a1', 'counter': 23, 'group_counter': 19, 'group_order': 1889568, 'label': '3L1', 'order': 3, 'powers': [24, 1], 'representative': 11294671874593641004800, 'size': 16}
  • id: 99646885
    {'aut_label': '3L1', 'centralizer': '16.a1', 'counter': 24, 'group_counter': 19, 'group_order': 1889568, 'label': '3L-1', 'order': 3, 'powers': [23, 1], 'representative': 7922560857432856588800, 'size': 16}
  • id: 99646896
    {'aut_label': '3M', 'centralizer': None, 'counter': 25, 'group_counter': 19, 'group_order': 1889568, 'label': '3M', 'order': 3, 'powers': [25, 1], 'representative': 62692472375182416044682753, 'size': 24}
  • id: 99646907
    {'aut_label': '3N', 'centralizer': None, 'counter': 26, 'group_counter': 19, 'group_order': 1889568, 'label': '3N', 'order': 3, 'powers': [26, 1], 'representative': 11293659546133700737353, 'size': 24}
  • id: 99646918
    {'aut_label': '3O', 'centralizer': None, 'counter': 27, 'group_counter': 19, 'group_order': 1889568, 'label': '3O', 'order': 3, 'powers': [27, 1], 'representative': 2497358976960364673112060726, 'size': 24}
  • id: 99646929
    {'aut_label': '3M', 'centralizer': None, 'counter': 28, 'group_counter': 19, 'group_order': 1889568, 'label': '3P', 'order': 3, 'powers': [28, 1], 'representative': 824602953069883418148109584, 'size': 24}
  • id: 99646940
    {'aut_label': '3Q', 'centralizer': None, 'counter': 29, 'group_counter': 19, 'group_order': 1889568, 'label': '3Q', 'order': 3, 'powers': [29, 1], 'representative': 62909511576114377273299200, 'size': 24}
  • id: 99646952
    {'aut_label': '3R', 'centralizer': None, 'counter': 30, 'group_counter': 19, 'group_order': 1889568, 'label': '3R', 'order': 3, 'powers': [30, 1], 'representative': 933828848746020559851111648, 'size': 24}
  • id: 99646963
    {'aut_label': '3S', 'centralizer': None, 'counter': 31, 'group_counter': 19, 'group_order': 1889568, 'label': '3S', 'order': 3, 'powers': [31, 1], 'representative': 124737108306382773512041080, 'size': 24}
  • id: 99646974
    {'aut_label': '3N', 'centralizer': None, 'counter': 32, 'group_counter': 19, 'group_order': 1889568, 'label': '3T', 'order': 3, 'powers': [32, 1], 'representative': 933828848886872762619671553, 'size': 24}
  • id: 99646985
    {'aut_label': '3U1', 'centralizer': None, 'counter': 33, 'group_counter': 19, 'group_order': 1889568, 'label': '3U1', 'order': 3, 'powers': [34, 1], 'representative': 2497358976960364673112061813, 'size': 24}
  • id: 99646996
    {'aut_label': '3U1', 'centralizer': None, 'counter': 34, 'group_counter': 19, 'group_order': 1889568, 'label': '3U-1', 'order': 3, 'powers': [33, 1], 'representative': 933828848746020559851109516, 'size': 24}
  • id: 99647007
    {'aut_label': '3V1', 'centralizer': None, 'counter': 35, 'group_counter': 19, 'group_order': 1889568, 'label': '3V1', 'order': 3, 'powers': [36, 1], 'representative': 2435504038516490673428312716, 'size': 24}
  • id: 99647018
    {'aut_label': '3V1', 'centralizer': None, 'counter': 36, 'group_counter': 19, 'group_order': 1889568, 'label': '3V-1', 'order': 3, 'powers': [35, 1], 'representative': 824764911600614999919441013, 'size': 24}
  • id: 99647029
    {'aut_label': '3W', 'centralizer': '32.a1', 'counter': 37, 'group_counter': 19, 'group_order': 1889568, 'label': '3W', 'order': 3, 'powers': [37, 1], 'representative': 124743853937332980396748800, 'size': 32}
  • id: 99647040
    {'aut_label': '3X1', 'centralizer': '32.a1', 'counter': 38, 'group_counter': 19, 'group_order': 1889568, 'label': '3X1', 'order': 3, 'powers': [39, 1], 'representative': 2544080108275045824608914813, 'size': 32}
  • id: 99647051
    {'aut_label': '3X1', 'centralizer': '32.a1', 'counter': 39, 'group_counter': 19, 'group_order': 1889568, 'label': '3X-1', 'order': 3, 'powers': [38, 1], 'representative': 871302067856104369396048516, 'size': 32}
  • id: 99647063
    {'aut_label': '3X1', 'centralizer': '32.a1', 'counter': 40, 'group_counter': 19, 'group_order': 1889568, 'label': '3Y1', 'order': 3, 'powers': [41, 1], 'representative': 2544027280381777223342730553, 'size': 32}
  • id: 99647074
    {'aut_label': '3X1', 'centralizer': '32.a1', 'counter': 41, 'group_counter': 19, 'group_order': 1889568, 'label': '3Y-1', 'order': 3, 'powers': [40, 1], 'representative': 871353771755026563498123976, 'size': 32}
  • id: 99647085
    {'aut_label': '3Z1', 'centralizer': '32.a1', 'counter': 42, 'group_counter': 19, 'group_order': 1889568, 'label': '3Z1', 'order': 3, 'powers': [43, 1], 'representative': 2497489411239395239290858613, 'size': 32}
  • id: 99647096
    {'aut_label': '3Z1', 'centralizer': '32.a1', 'counter': 43, 'group_counter': 19, 'group_order': 1889568, 'label': '3Z-1', 'order': 3, 'powers': [42, 1], 'representative': 934010936108752768890815116, 'size': 32}
  • id: 99647107
    {'aut_label': '3AA', 'centralizer': None, 'counter': 44, 'group_counter': 19, 'group_order': 1889568, 'label': '3AA', 'order': 3, 'powers': [44, 1], 'representative': 124954045223703887077286400, 'size': 48}
  • id: 99647118
    {'aut_label': '3AB', 'centralizer': None, 'counter': 45, 'group_counter': 19, 'group_order': 1889568, 'label': '3AB', 'order': 3, 'powers': [45, 1], 'representative': 871163713443789891604085880, 'size': 48}
  • id: 99647129
    {'aut_label': '3AC', 'centralizer': None, 'counter': 46, 'group_counter': 19, 'group_order': 1889568, 'label': '3AC', 'order': 3, 'powers': [46, 1], 'representative': 124737108184737673142950741, 'size': 48}
  • id: 99647140
    {'aut_label': '3AD', 'centralizer': None, 'counter': 47, 'group_counter': 19, 'group_order': 1889568, 'label': '3AD', 'order': 3, 'powers': [47, 1], 'representative': 933828848842033828554393600, 'size': 48}
  • id: 99647145
    {'aut_label': '3AE', 'centralizer': None, 'counter': 48, 'group_counter': 19, 'group_order': 1889568, 'label': '3AE', 'order': 3, 'powers': [48, 1], 'representative': 233845803626391500570072, 'size': 48}
  • id: 99647146
    {'aut_label': '3AF', 'centralizer': None, 'counter': 49, 'group_counter': 19, 'group_order': 1889568, 'label': '3AF', 'order': 3, 'powers': [49, 1], 'representative': 192312287303429533363200, 'size': 48}
  • id: 99647148
    {'aut_label': '3AG', 'centralizer': None, 'counter': 50, 'group_counter': 19, 'group_order': 1889568, 'label': '3AG', 'order': 3, 'powers': [50, 1], 'representative': 824768283557622106307409153, 'size': 48}
  • id: 99647149
    {'aut_label': '3AG', 'centralizer': None, 'counter': 51, 'group_counter': 19, 'group_order': 1889568, 'label': '3AH', 'order': 3, 'powers': [51, 1], 'representative': 192311454994860286314753, 'size': 48}
  • id: 99647150
    {'aut_label': '3AE', 'centralizer': None, 'counter': 52, 'group_counter': 19, 'group_order': 1889568, 'label': '3AI', 'order': 3, 'powers': [52, 1], 'representative': 2435452334502304910860777080, 'size': 48}
  • id: 99647151
    {'aut_label': '3AJ', 'centralizer': None, 'counter': 53, 'group_counter': 19, 'group_order': 1889568, 'label': '3AJ', 'order': 3, 'powers': [53, 1], 'representative': 1012331081592230400, 'size': 48}
  • id: 99647152
    {'aut_label': '3AK', 'centralizer': None, 'counter': 54, 'group_counter': 19, 'group_order': 1889568, 'label': '3AK', 'order': 3, 'powers': [54, 1], 'representative': 124737107378038579997986610, 'size': 48}
  • id: 99647153
    {'aut_label': '3AK', 'centralizer': None, 'counter': 55, 'group_counter': 19, 'group_order': 1889568, 'label': '3AL', 'order': 3, 'powers': [55, 1], 'representative': 2435504039374764525041354289, 'size': 48}
  • id: 99647154
    {'aut_label': '3AM', 'centralizer': None, 'counter': 56, 'group_counter': 19, 'group_order': 1889568, 'label': '3AM', 'order': 3, 'powers': [56, 1], 'representative': 2435501790508636754229431553, 'size': 48}
  • id: 99647155
    {'aut_label': '3AN', 'centralizer': None, 'counter': 57, 'group_counter': 19, 'group_order': 1889568, 'label': '3AN', 'order': 3, 'powers': [57, 1], 'representative': 62692472375182416044708104, 'size': 48}
  • id: 99647156
    {'aut_label': '3AC', 'centralizer': None, 'counter': 58, 'group_counter': 19, 'group_order': 1889568, 'label': '3AO', 'order': 3, 'powers': [58, 1], 'representative': 2435287003969373002726532104, 'size': 48}
  • id: 99647157
    {'aut_label': '3AP', 'centralizer': None, 'counter': 59, 'group_counter': 19, 'group_order': 1889568, 'label': '3AP', 'order': 3, 'powers': [59, 1], 'representative': 871163713565434991936531672, 'size': 48}
  • id: 99647159
    {'aut_label': '3AB', 'centralizer': None, 'counter': 60, 'group_counter': 19, 'group_order': 1889568, 'label': '3AQ', 'order': 3, 'powers': [60, 1], 'representative': 824768283602815326282040710, 'size': 48}
  • id: 99647160
    {'aut_label': '3AK', 'centralizer': None, 'counter': 61, 'group_counter': 19, 'group_order': 1889568, 'label': '3AR', 'order': 3, 'powers': [61, 1], 'representative': 124951797337496375406612904, 'size': 48}
  • id: 99647161
    {'aut_label': '3AF', 'centralizer': None, 'counter': 62, 'group_counter': 19, 'group_order': 1889568, 'label': '3AS', 'order': 3, 'powers': [62, 1], 'representative': 871351523868819051827193600, 'size': 48}
  • id: 99647162
    {'aut_label': '3AJ', 'centralizer': None, 'counter': 63, 'group_counter': 19, 'group_order': 1889568, 'label': '3AT', 'order': 3, 'powers': [63, 1], 'representative': 2544082355668270473168537600, 'size': 48}
  • id: 99647163
    {'aut_label': '3AU', 'centralizer': None, 'counter': 64, 'group_counter': 19, 'group_order': 1889568, 'label': '3AU', 'order': 3, 'powers': [64, 1], 'representative': 2543892400274479833613534088, 'size': 48}
  • id: 99647164
    {'aut_label': '3AU', 'centralizer': None, 'counter': 65, 'group_counter': 19, 'group_order': 1889568, 'label': '3AV', 'order': 3, 'powers': [65, 1], 'representative': 32389899029943304, 'size': 48}
  • id: 99647165
    {'aut_label': '3AK', 'centralizer': None, 'counter': 66, 'group_counter': 19, 'group_order': 1889568, 'label': '3AW', 'order': 3, 'powers': [66, 1], 'representative': 11293691934718829469489, 'size': 48}
  • id: 99647166
    {'aut_label': '3AX1', 'centralizer': None, 'counter': 67, 'group_counter': 19, 'group_order': 1889568, 'label': '3AX1', 'order': 3, 'powers': [68, 1], 'representative': 2544030651654084710601215176, 'size': 48}
  • id: 99647167
    {'aut_label': '3AX1', 'centralizer': None, 'counter': 68, 'group_counter': 19, 'group_order': 1889568, 'label': '3AX-1', 'order': 3, 'powers': [67, 1], 'representative': 871351523132544680855927353, 'size': 48}
  • id: 99647168
    {'aut_label': '3AY1', 'centralizer': None, 'counter': 69, 'group_counter': 19, 'group_order': 1889568, 'label': '3AY1', 'order': 3, 'powers': [70, 1], 'representative': 871345852774236598184932213, 'size': 48}
  • id: 99647170
    {'aut_label': '3AY1', 'centralizer': None, 'counter': 70, 'group_counter': 19, 'group_order': 1889568, 'label': '3AY-1', 'order': 3, 'powers': [69, 1], 'representative': 2544022784256862704533528716, 'size': 48}
  • id: 99647171
    {'aut_label': '3AZ1', 'centralizer': None, 'counter': 71, 'group_counter': 19, 'group_order': 1889568, 'label': '3AZ1', 'order': 3, 'powers': [72, 1], 'representative': 2435452335354197230606677553, 'size': 48}
  • id: 99647172
    {'aut_label': '3AZ1', 'centralizer': None, 'counter': 72, 'group_counter': 19, 'group_order': 1889568, 'label': '3AZ-1', 'order': 3, 'powers': [71, 1], 'representative': 824817740345777228126861776, 'size': 48}
  • id: 99647173
    {'aut_label': '3BA1', 'centralizer': None, 'counter': 73, 'group_counter': 19, 'group_order': 1889568, 'label': '3BA1', 'order': 3, 'powers': [74, 1], 'representative': 2435494996245279398092374916, 'size': 48}
  • id: 99647174
    {'aut_label': '3BA1', 'centralizer': None, 'counter': 74, 'group_counter': 19, 'group_order': 1889568, 'label': '3BA-1', 'order': 3, 'powers': [73, 1], 'representative': 824759241190729624383039613, 'size': 48}
  • id: 99647175
    {'aut_label': '3BB1', 'centralizer': None, 'counter': 75, 'group_counter': 19, 'group_order': 1889568, 'label': '3BB1', 'order': 3, 'powers': [76, 1], 'representative': 871163713539803160307357953, 'size': 48}
  • id: 99647176
    {'aut_label': '3BB1', 'centralizer': None, 'counter': 76, 'group_counter': 19, 'group_order': 1889568, 'label': '3BB-1', 'order': 3, 'powers': [75, 1], 'representative': 2543892400127202901615239753, 'size': 48}
  • id: 99647177
    {'aut_label': '3BC1', 'centralizer': None, 'counter': 77, 'group_counter': 19, 'group_order': 1889568, 'label': '3BC1', 'order': 3, 'powers': [78, 1], 'representative': 2435448962474493800681581141, 'size': 48}
  • id: 99647178
    {'aut_label': '3BC1', 'centralizer': None, 'counter': 78, 'group_counter': 19, 'group_order': 1889568, 'label': '3BC-1', 'order': 3, 'powers': [77, 1], 'representative': 824819987636208184579690504, 'size': 48}
  • id: 99647179
    {'aut_label': '3BD1', 'centralizer': None, 'counter': 79, 'group_counter': 19, 'group_order': 1889568, 'label': '3BD1', 'order': 3, 'powers': [80, 1], 'representative': 182141796177905272960472, 'size': 48}
  • id: 99647181
    {'aut_label': '3BD1', 'centralizer': None, 'counter': 80, 'group_counter': 19, 'group_order': 1889568, 'label': '3BD-1', 'order': 3, 'powers': [79, 1], 'representative': 233845855202463949701510, 'size': 48}
  • id: 99647182
    {'aut_label': '3BE1', 'centralizer': None, 'counter': 81, 'group_counter': 19, 'group_order': 1889568, 'label': '3BE1', 'order': 3, 'powers': [82, 1], 'representative': 2435501791245266812705357584, 'size': 48}
  • id: 99647183
    {'aut_label': '3BE1', 'centralizer': None, 'counter': 82, 'group_counter': 19, 'group_order': 1889568, 'label': '3BE-1', 'order': 3, 'powers': [81, 1], 'representative': 824768284454707646028130680, 'size': 48}
  • id: 99647184
    {'aut_label': '3BF1', 'centralizer': None, 'counter': 83, 'group_counter': 19, 'group_order': 1889568, 'label': '3BF1', 'order': 3, 'powers': [84, 1], 'representative': 7922560857432856618504, 'size': 48}
  • id: 99647185
    {'aut_label': '3BF1', 'centralizer': None, 'counter': 84, 'group_counter': 19, 'group_order': 1889568, 'label': '3BF-1', 'order': 3, 'powers': [83, 1], 'representative': 11294671874593641037141, 'size': 48}
  • id: 99647186
    {'aut_label': '3BD1', 'centralizer': None, 'counter': 85, 'group_counter': 19, 'group_order': 1889568, 'label': '3BG1', 'order': 3, 'powers': [86, 1], 'representative': 2544080108383886077894055184, 'size': 48}
  • id: 99647187
    {'aut_label': '3BD1', 'centralizer': None, 'counter': 86, 'group_counter': 19, 'group_order': 1889568, 'label': '3BG-1', 'order': 3, 'powers': [85, 1], 'representative': 871302067702426483932015480, 'size': 48}
  • id: 99647188
    {'aut_label': '3BH1', 'centralizer': None, 'counter': 87, 'group_counter': 19, 'group_order': 1889568, 'label': '3BH1', 'order': 3, 'powers': [88, 1], 'representative': 188939426807095777849213, 'size': 48}
  • id: 99647189
    {'aut_label': '3BH1', 'centralizer': None, 'counter': 88, 'group_counter': 19, 'group_order': 1889568, 'label': '3BH-1', 'order': 3, 'powers': [87, 1], 'representative': 244015462422429951242116, 'size': 48}
  • id: 99647190
    {'aut_label': '3BI1', 'centralizer': None, 'counter': 89, 'group_counter': 19, 'group_order': 1889568, 'label': '3BI1', 'order': 3, 'powers': [90, 1], 'representative': 824817740364985644464140800, 'size': 48}
  • id: 99647192
    {'aut_label': '3BI1', 'centralizer': None, 'counter': 90, 'group_counter': 19, 'group_order': 1889568, 'label': '3BI-1', 'order': 3, 'powers': [89, 1], 'representative': 2435452335341392502355091200, 'size': 48}
  • id: 99647193
    {'aut_label': '3BJ1', 'centralizer': None, 'counter': 91, 'group_counter': 19, 'group_order': 1889568, 'label': '3BJ1', 'order': 3, 'powers': [92, 1], 'representative': 2543901392287078510228014153, 'size': 48}
  • id: 99647194
    {'aut_label': '3BJ1', 'centralizer': None, 'counter': 92, 'group_counter': 19, 'group_order': 1889568, 'label': '3BJ-1', 'order': 3, 'powers': [91, 1], 'representative': 871169384557602992048145153, 'size': 48}
  • id: 99647195
    {'aut_label': '3BE1', 'centralizer': None, 'counter': 93, 'group_counter': 19, 'group_order': 1889568, 'label': '3BK1', 'order': 3, 'powers': [94, 1], 'representative': 2544082355687477568898641153, 'size': 48}
  • id: 99647196
    {'aut_label': '3BE1', 'centralizer': None, 'counter': 94, 'group_counter': 19, 'group_order': 1889568, 'label': '3BK-1', 'order': 3, 'powers': [93, 1], 'representative': 871298695098401727307854153, 'size': 48}
  • id: 99647197
    {'aut_label': '3AY1', 'centralizer': None, 'counter': 95, 'group_counter': 19, 'group_order': 1889568, 'label': '3BL1', 'order': 3, 'powers': [96, 1], 'representative': 2544027279626273600422154116, 'size': 48}
  • id: 99647198
    {'aut_label': '3AY1', 'centralizer': None, 'counter': 96, 'group_counter': 19, 'group_order': 1889568, 'label': '3BL-1', 'order': 3, 'powers': [95, 1], 'representative': 871353771159605695784761213, 'size': 48}
  • id: 99647199
    {'aut_label': '3BM1', 'centralizer': None, 'counter': 97, 'group_counter': 19, 'group_order': 1889568, 'label': '3BM1', 'order': 3, 'powers': [98, 1], 'representative': 871163713462996994040229576, 'size': 48}
  • id: 99647200
    {'aut_label': '3BM1', 'centralizer': None, 'counter': 98, 'group_counter': 19, 'group_order': 1889568, 'label': '3BM-1', 'order': 3, 'powers': [97, 1], 'representative': 2543892400274479833613501753, 'size': 48}
  • id: 99647201
    {'aut_label': '3BF1', 'centralizer': None, 'counter': 99, 'group_counter': 19, 'group_order': 1889568, 'label': '3BN1', 'order': 3, 'powers': [100, 1], 'representative': 933834467994515316028993248, 'size': 48}
  • id: 99646731
    {'aut_label': '3BF1', 'centralizer': None, 'counter': 100, 'group_counter': 19, 'group_order': 1889568, 'label': '3BN-1', 'order': 3, 'powers': [99, 1], 'representative': 2497368019160773120602468488, 'size': 48}
  • id: 99646732
    {'aut_label': '3BO1', 'centralizer': None, 'counter': 101, 'group_counter': 19, 'group_order': 1889568, 'label': '3BO1', 'order': 3, 'powers': [102, 1], 'representative': 124893346008536059639914753, 'size': 48}
  • id: 99646733
    {'aut_label': '3BO1', 'centralizer': None, 'counter': 102, 'group_counter': 19, 'group_order': 1889568, 'label': '3BO-1', 'order': 3, 'powers': [101, 1], 'representative': 62900465348591845499751753, 'size': 48}
  • id: 99646734
    {'aut_label': '3BP1', 'centralizer': None, 'counter': 103, 'group_counter': 19, 'group_order': 1889568, 'label': '3BP1', 'order': 3, 'powers': [104, 1], 'representative': 824817740467422328459468689, 'size': 48}
  • id: 99646735
    {'aut_label': '3BP1', 'centralizer': None, 'counter': 104, 'group_counter': 19, 'group_order': 1889568, 'label': '3BP-1', 'order': 3, 'powers': [103, 1], 'representative': 2435452335232552130274024411, 'size': 48}
  • id: 99646736
    {'aut_label': '3AY1', 'centralizer': None, 'counter': 105, 'group_counter': 19, 'group_order': 1889568, 'label': '3BQ1', 'order': 3, 'powers': [106, 1], 'representative': 871163712560217658982589316, 'size': 48}
  • id: 99646737
    {'aut_label': '3AY1', 'centralizer': None, 'counter': 106, 'group_counter': 19, 'group_order': 1889568, 'label': '3BQ-1', 'order': 3, 'powers': [105, 1], 'representative': 2543892399269262500659436413, 'size': 48}
  • id: 99646738
    {'aut_label': '3BB1', 'centralizer': None, 'counter': 107, 'group_counter': 19, 'group_order': 1889568, 'label': '3BR1', 'order': 3, 'powers': [108, 1], 'representative': 2497546787122896530233973880, 'size': 48}
  • id: 99646739
    {'aut_label': '3BB1', 'centralizer': None, 'counter': 108, 'group_counter': 19, 'group_order': 1889568, 'label': '3BR-1', 'order': 3, 'powers': [107, 1], 'representative': 933967100977162069080378384, 'size': 48}
  • id: 99646740
    {'aut_label': '3BO1', 'centralizer': None, 'counter': 109, 'group_counter': 19, 'group_order': 1889568, 'label': '3BS1', 'order': 3, 'powers': [110, 1], 'representative': 2497364647158593710802335110, 'size': 48}
  • id: 99646742
    {'aut_label': '3BO1', 'centralizer': None, 'counter': 110, 'group_counter': 19, 'group_order': 1889568, 'label': '3BS-1', 'order': 3, 'powers': [109, 1], 'representative': 933837839996694725828762072, 'size': 48}
  • id: 99646743
    {'aut_label': '3BM1', 'centralizer': None, 'counter': 111, 'group_counter': 19, 'group_order': 1889568, 'label': '3BT1', 'order': 3, 'powers': [112, 1], 'representative': 7921657366723901031376, 'size': 48}
  • id: 99646744
    {'aut_label': '3BM1', 'centralizer': None, 'counter': 112, 'group_counter': 19, 'group_order': 1889568, 'label': '3BT-1', 'order': 3, 'powers': [111, 1], 'representative': 11293659546133700930353, 'size': 48}
  • id: 99646745
    {'aut_label': '3AY1', 'centralizer': None, 'counter': 113, 'group_counter': 19, 'group_order': 1889568, 'label': '3BU1', 'order': 3, 'powers': [114, 1], 'representative': 824602954113470338365272716, 'size': 48}
  • id: 99646746
    {'aut_label': '3AY1', 'centralizer': None, 'counter': 114, 'group_counter': 19, 'group_order': 1889568, 'label': '3BU-1', 'order': 3, 'powers': [113, 1], 'representative': 2435287004891314822574961013, 'size': 48}
  • id: 99646747
    {'aut_label': '3BA1', 'centralizer': None, 'counter': 115, 'group_counter': 19, 'group_order': 1889568, 'label': '3BV1', 'order': 3, 'powers': [116, 1], 'representative': 2435443292211864309330467716, 'size': 48}
  • id: 99646748
    {'aut_label': '3BA1', 'centralizer': None, 'counter': 116, 'group_counter': 19, 'group_order': 1889568, 'label': '3BV-1', 'order': 3, 'powers': [115, 1], 'representative': 824810945224144713144946813, 'size': 48}
  • id: 99646749
    {'aut_label': '3BW1', 'centralizer': None, 'counter': 117, 'group_counter': 19, 'group_order': 1889568, 'label': '3BW1', 'order': 3, 'powers': [118, 1], 'representative': 2544080108275045824608885880, 'size': 48}
  • id: 99646750
    {'aut_label': '3BW1', 'centralizer': None, 'counter': 118, 'group_counter': 19, 'group_order': 1889568, 'label': '3BW-1', 'order': 3, 'powers': [117, 1], 'representative': 871302067856104369396026384, 'size': 48}
  • id: 99646751
    {'aut_label': '3BX', 'centralizer': '96.A', 'counter': 119, 'group_counter': 19, 'group_order': 1889568, 'label': '3BX', 'order': 3, 'powers': [119, 1], 'representative': 32389899030082011, 'size': 96}
  • id: 99646753
    {'aut_label': '3BY', 'centralizer': '96.A', 'counter': 120, 'group_counter': 19, 'group_order': 1889568, 'label': '3BY', 'order': 3, 'powers': [120, 1], 'representative': 1012331081592256472, 'size': 96}
  • id: 99646754
    {'aut_label': '3BY', 'centralizer': '96.A', 'counter': 121, 'group_counter': 19, 'group_order': 1889568, 'label': '3BZ', 'order': 3, 'powers': [121, 1], 'representative': 1012331081592261510, 'size': 96}
  • id: 99646755
    {'aut_label': '3CA', 'centralizer': '96.A', 'counter': 122, 'group_counter': 19, 'group_order': 1889568, 'label': '3CA', 'order': 3, 'powers': [122, 1], 'representative': 1012331081592418610, 'size': 96}
  • id: 99646756
    {'aut_label': '3CB', 'centralizer': '96.A', 'counter': 123, 'group_counter': 19, 'group_order': 1889568, 'label': '3CB', 'order': 3, 'powers': [123, 1], 'representative': 182142654473900248155304, 'size': 96}
  • id: 99646757
    {'aut_label': '3CB', 'centralizer': '96.A', 'counter': 124, 'group_counter': 19, 'group_order': 1889568, 'label': '3CC', 'order': 3, 'powers': [124, 1], 'representative': 182142654473900248162741, 'size': 96}
  • id: 99646758
    {'aut_label': '3CD', 'centralizer': '96.A', 'counter': 125, 'group_counter': 19, 'group_order': 1889568, 'label': '3CD', 'order': 3, 'powers': [125, 1], 'representative': 188939446390845837390153, 'size': 96}
  • id: 99646759
    {'aut_label': '3CE', 'centralizer': '96.A', 'counter': 126, 'group_counter': 19, 'group_order': 1889568, 'label': '3CE', 'order': 3, 'powers': [126, 1], 'representative': 188939446390845837555984, 'size': 96}
  • id: 99646760
    {'aut_label': '3CF', 'centralizer': '96.A', 'counter': 127, 'group_counter': 19, 'group_order': 1889568, 'label': '3CF', 'order': 3, 'powers': [127, 1], 'representative': 188939446390845837557211, 'size': 96}
  • id: 99646761
    {'aut_label': '3CG', 'centralizer': '96.A', 'counter': 128, 'group_counter': 19, 'group_order': 1889568, 'label': '3CG', 'order': 3, 'powers': [128, 1], 'representative': 188939446390845837559611, 'size': 96}
  • id: 99646762
    {'aut_label': '3CH', 'centralizer': '96.A', 'counter': 129, 'group_counter': 19, 'group_order': 1889568, 'label': '3CH', 'order': 3, 'powers': [129, 1], 'representative': 188940163457996095648472, 'size': 96}
  • id: 99646764
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  • id: 99646765
    {'aut_label': '3CI', 'centralizer': '96.A', 'counter': 131, 'group_counter': 19, 'group_order': 1889568, 'label': '3CJ', 'order': 3, 'powers': [131, 1], 'representative': 188940163457996095652104, 'size': 96}
  • id: 99646766
    {'aut_label': '3CH', 'centralizer': '96.A', 'counter': 132, 'group_counter': 19, 'group_order': 1889568, 'label': '3CK', 'order': 3, 'powers': [132, 1], 'representative': 188940163457996095789584, 'size': 96}
  • id: 99646767
    {'aut_label': '3CI', 'centralizer': '96.A', 'counter': 133, 'group_counter': 19, 'group_order': 1889568, 'label': '3CL', 'order': 3, 'powers': [133, 1], 'representative': 188940163457996095790811, 'size': 96}
  • id: 99646768
    {'aut_label': '3CI', 'centralizer': '96.A', 'counter': 134, 'group_counter': 19, 'group_order': 1889568, 'label': '3CM', 'order': 3, 'powers': [134, 1], 'representative': 188940163457996095793211, 'size': 96}
  • id: 99646769
    {'aut_label': '3CN', 'centralizer': '96.A', 'counter': 135, 'group_counter': 19, 'group_order': 1889568, 'label': '3CN', 'order': 3, 'powers': [135, 1], 'representative': 62854435540521185906849704, 'size': 96}
  • id: 99646770
    {'aut_label': '3CN', 'centralizer': '96.A', 'counter': 136, 'group_counter': 19, 'group_order': 1889568, 'label': '3CO', 'order': 3, 'powers': [136, 1], 'representative': 62854435540521185906990811, 'size': 96}
  • id: 99646771
    {'aut_label': '3CP', 'centralizer': '96.A', 'counter': 137, 'group_counter': 19, 'group_order': 1889568, 'label': '3CP', 'order': 3, 'powers': [137, 1], 'representative': 62854435540521185907010610, 'size': 96}
  • id: 99646772
    {'aut_label': '3BX', 'centralizer': '96.A', 'counter': 138, 'group_counter': 19, 'group_order': 1889568, 'label': '3CQ', 'order': 3, 'powers': [138, 1], 'representative': 62854435662166286275906011, 'size': 96}
  • id: 99646773
    {'aut_label': '3CR', 'centralizer': '96.A', 'counter': 139, 'group_counter': 19, 'group_order': 1889568, 'label': '3CR', 'order': 3, 'powers': [139, 1], 'representative': 62854435674991968934781704, 'size': 96}
  • id: 99646775
    {'aut_label': '3BY', 'centralizer': '96.A', 'counter': 140, 'group_counter': 19, 'group_order': 1889568, 'label': '3CS', 'order': 3, 'powers': [140, 1], 'representative': 62857807561949575855681353, 'size': 96}
  • id: 99646776
    {'aut_label': '3BY', 'centralizer': '96.A', 'counter': 141, 'group_counter': 19, 'group_order': 1889568, 'label': '3CT', 'order': 3, 'powers': [141, 1], 'representative': 62857807561949575855684353, 'size': 96}
  • id: 99646777
    {'aut_label': '3CA', 'centralizer': '96.A', 'counter': 142, 'group_counter': 19, 'group_order': 1889568, 'label': '3CU', 'order': 3, 'powers': [142, 1], 'representative': 62857807561949575855709704, 'size': 96}
  • id: 99646778
    {'aut_label': '3CE', 'centralizer': '96.A', 'counter': 143, 'group_counter': 19, 'group_order': 1889568, 'label': '3CV', 'order': 3, 'powers': [143, 1], 'representative': 871298695732260249895796553, 'size': 96}
  • id: 99646779
    {'aut_label': '3CD', 'centralizer': '96.A', 'counter': 144, 'group_counter': 19, 'group_order': 1889568, 'label': '3CW', 'order': 3, 'powers': [144, 1], 'representative': 871298695732260249895962384, 'size': 96}
  • id: 99646780
    {'aut_label': '3CF', 'centralizer': '96.A', 'counter': 145, 'group_counter': 19, 'group_order': 1889568, 'label': '3CX', 'order': 3, 'powers': [145, 1], 'representative': 871298695732260249895963611, 'size': 96}
  • id: 99646781
    {'aut_label': '3CG', 'centralizer': '96.A', 'counter': 146, 'group_counter': 19, 'group_order': 1889568, 'label': '3CY', 'order': 3, 'powers': [146, 1], 'representative': 871298695732260249895966011, 'size': 96}
  • id: 99646782
    {'aut_label': '3CZ1', 'centralizer': '96.A', 'counter': 147, 'group_counter': 19, 'group_order': 1889568, 'label': '3CZ1', 'order': 3, 'powers': [148, 1], 'representative': 1012331081592257704, 'size': 96}
  • id: 99646783
    {'aut_label': '3CZ1', 'centralizer': '96.A', 'counter': 148, 'group_counter': 19, 'group_order': 1889568, 'label': '3CZ-1', 'order': 3, 'powers': [147, 1], 'representative': 1012331081592260104, 'size': 96}
  • id: 99646784
    {'aut_label': '3CZ1', 'centralizer': '96.A', 'counter': 149, 'group_counter': 19, 'group_order': 1889568, 'label': '3DA1', 'order': 3, 'powers': [150, 1], 'representative': 1012331081592262741, 'size': 96}
  • id: 99646786
    {'aut_label': '3CZ1', 'centralizer': '96.A', 'counter': 150, 'group_counter': 19, 'group_order': 1889568, 'label': '3DA-1', 'order': 3, 'powers': [149, 1], 'representative': 1012331081592265141, 'size': 96}
  • id: 99646787
    {'aut_label': '3DB1', 'centralizer': '96.A', 'counter': 151, 'group_counter': 19, 'group_order': 1889568, 'label': '3DB1', 'order': 3, 'powers': [152, 1], 'representative': 1012331081592419716, 'size': 96}
  • id: 99646788
    {'aut_label': '3DB1', 'centralizer': '96.A', 'counter': 152, 'group_counter': 19, 'group_order': 1889568, 'label': '3DB-1', 'order': 3, 'powers': [151, 1], 'representative': 1012331081592421516, 'size': 96}
  • id: 99646789
    {'aut_label': '3DC1', 'centralizer': '96.A', 'counter': 153, 'group_counter': 19, 'group_order': 1889568, 'label': '3DC1', 'order': 3, 'powers': [154, 1], 'representative': 7922541649016519105704, 'size': 96}
  • id: 99646790
    {'aut_label': '3DC1', 'centralizer': '96.A', 'counter': 154, 'group_counter': 19, 'group_order': 1889568, 'label': '3DC-1', 'order': 3, 'powers': [153, 1], 'representative': 7922560857432856616104, 'size': 96}
  • id: 99646791
    {'aut_label': '3DD1', 'centralizer': '96.A', 'counter': 155, 'group_counter': 19, 'group_order': 1889568, 'label': '3DD1', 'order': 3, 'powers': [156, 1], 'representative': 182142654473900248129353, 'size': 96}
  • id: 99646792
    {'aut_label': '3DD1', 'centralizer': '96.A', 'counter': 156, 'group_counter': 19, 'group_order': 1889568, 'label': '3DD-1', 'order': 3, 'powers': [155, 1], 'representative': 182142654473900248132353, 'size': 96}
  • id: 99646793
    {'aut_label': '3DE1', 'centralizer': '96.A', 'counter': 157, 'group_counter': 19, 'group_order': 1889568, 'label': '3DE1', 'order': 3, 'powers': [158, 1], 'representative': 182142654473900248157704, 'size': 96}
  • id: 99646794
    {'aut_label': '3DE1', 'centralizer': '96.A', 'counter': 158, 'group_counter': 19, 'group_order': 1889568, 'label': '3DE-1', 'order': 3, 'powers': [157, 1], 'representative': 182142654473900248160341, 'size': 96}
  • id: 99646795
    {'aut_label': '3DF1', 'centralizer': '96.A', 'counter': 159, 'group_counter': 19, 'group_order': 1889568, 'label': '3DF1', 'order': 3, 'powers': [160, 1], 'representative': 182142654473900248317316, 'size': 96}
  • id: 99646797
    {'aut_label': '3DF1', 'centralizer': '96.A', 'counter': 160, 'group_counter': 19, 'group_order': 1889568, 'label': '3DF-1', 'order': 3, 'powers': [159, 1], 'representative': 182142654473900248322353, 'size': 96}
  • id: 99646798
    {'aut_label': '3DG1', 'centralizer': '96.A', 'counter': 161, 'group_counter': 19, 'group_order': 1889568, 'label': '3DG1', 'order': 3, 'powers': [162, 1], 'representative': 188939446390845837416104, 'size': 96}
  • id: 99646799
    {'aut_label': '3DG1', 'centralizer': '96.A', 'counter': 162, 'group_counter': 19, 'group_order': 1889568, 'label': '3DG-1', 'order': 3, 'powers': [161, 1], 'representative': 188939446390845837421141, 'size': 96}
  • id: 99646800
    {'aut_label': '3DH1', 'centralizer': '96.A', 'counter': 163, 'group_counter': 19, 'group_order': 1889568, 'label': '3DH1', 'order': 3, 'powers': [164, 1], 'representative': 188939446390845837577010, 'size': 96}
  • id: 99646801
    {'aut_label': '3DH1', 'centralizer': '96.A', 'counter': 164, 'group_counter': 19, 'group_order': 1889568, 'label': '3DH-1', 'order': 3, 'powers': [163, 1], 'representative': 188939446390845837582048, 'size': 96}
  • id: 99646802
    {'aut_label': '3DI1', 'centralizer': '96.A', 'counter': 165, 'group_counter': 19, 'group_order': 1889568, 'label': '3DI1', 'order': 3, 'powers': [166, 1], 'representative': 188939446390845837578116, 'size': 96}
  • id: 99646803
    {'aut_label': '3DI1', 'centralizer': '96.A', 'counter': 166, 'group_counter': 19, 'group_order': 1889568, 'label': '3DI-1', 'order': 3, 'powers': [165, 1], 'representative': 188939446390845837583153, 'size': 96}
  • id: 99646804
    {'aut_label': '3DJ1', 'centralizer': '96.A', 'counter': 167, 'group_counter': 19, 'group_order': 1889568, 'label': '3DJ1', 'order': 3, 'powers': [168, 1], 'representative': 188939446390845837579916, 'size': 96}
  • id: 99646805
    {'aut_label': '3DJ1', 'centralizer': '96.A', 'counter': 168, 'group_counter': 19, 'group_order': 1889568, 'label': '3DJ-1', 'order': 3, 'powers': [167, 1], 'representative': 188939446390845837584953, 'size': 96}
  • id: 99646806
    {'aut_label': '3DK1', 'centralizer': '96.A', 'counter': 169, 'group_counter': 19, 'group_order': 1889568, 'label': '3DK1', 'order': 3, 'powers': [170, 1], 'representative': 188940163457996095810610, 'size': 96}
  • id: 99646808
    {'aut_label': '3DK1', 'centralizer': '96.A', 'counter': 170, 'group_counter': 19, 'group_order': 1889568, 'label': '3DK-1', 'order': 3, 'powers': [169, 1], 'representative': 188940163457996095815648, 'size': 96}
  • id: 99646809
    {'aut_label': '3DL1', 'centralizer': '96.A', 'counter': 171, 'group_counter': 19, 'group_order': 1889568, 'label': '3DL1', 'order': 3, 'powers': [172, 1], 'representative': 188940163457996095811716, 'size': 96}
  • id: 99646810
    {'aut_label': '3DL1', 'centralizer': '96.A', 'counter': 172, 'group_counter': 19, 'group_order': 1889568, 'label': '3DL-1', 'order': 3, 'powers': [171, 1], 'representative': 188940163457996095816753, 'size': 96}
  • id: 99646811
    {'aut_label': '3DL1', 'centralizer': '96.A', 'counter': 173, 'group_counter': 19, 'group_order': 1889568, 'label': '3DM1', 'order': 3, 'powers': [174, 1], 'representative': 188940163457996095813516, 'size': 96}
  • id: 99646812
    {'aut_label': '3DL1', 'centralizer': '96.A', 'counter': 174, 'group_counter': 19, 'group_order': 1889568, 'label': '3DM-1', 'order': 3, 'powers': [173, 1], 'representative': 188940163457996095818553, 'size': 96}
  • id: 99646813
    {'aut_label': '3DN1', 'centralizer': '96.A', 'counter': 175, 'group_counter': 19, 'group_order': 1889568, 'label': '3DN1', 'order': 3, 'powers': [176, 1], 'representative': 188940183041739924748800, 'size': 96}
  • id: 99646814
    {'aut_label': '3DN1', 'centralizer': '96.A', 'counter': 176, 'group_counter': 19, 'group_order': 1889568, 'label': '3DN-1', 'order': 3, 'powers': [175, 1], 'representative': 188940202250156262259200, 'size': 96}
  • id: 99646815
    {'aut_label': '3DO1', 'centralizer': '96.A', 'counter': 177, 'group_counter': 19, 'group_order': 1889568, 'label': '3DO1', 'order': 3, 'powers': [178, 1], 'representative': 188940183041739924750153, 'size': 96}
  • id: 99646816
    {'aut_label': '3DO1', 'centralizer': '96.A', 'counter': 178, 'group_counter': 19, 'group_order': 1889568, 'label': '3DO-1', 'order': 3, 'powers': [177, 1], 'representative': 188940202250156262260553, 'size': 96}
  • id: 99646817
    {'aut_label': '3DO1', 'centralizer': '96.A', 'counter': 179, 'group_counter': 19, 'group_order': 1889568, 'label': '3DP1', 'order': 3, 'powers': [180, 1], 'representative': 188940183041739924753153, 'size': 96}
  • id: 99646819
    {'aut_label': '3DO1', 'centralizer': '96.A', 'counter': 180, 'group_counter': 19, 'group_order': 1889568, 'label': '3DP-1', 'order': 3, 'powers': [179, 1], 'representative': 188940202250156262263553, 'size': 96}
  • id: 99646820
    {'aut_label': '3DO1', 'centralizer': '96.A', 'counter': 181, 'group_counter': 19, 'group_order': 1889568, 'label': '3DQ1', 'order': 3, 'powers': [182, 1], 'representative': 188940183041739924774872, 'size': 96}
  • id: 99646821
    {'aut_label': '3DO1', 'centralizer': '96.A', 'counter': 182, 'group_counter': 19, 'group_order': 1889568, 'label': '3DQ-1', 'order': 3, 'powers': [181, 1], 'representative': 188940202250156262285272, 'size': 96}
  • id: 99646822
    {'aut_label': '3DR1', 'centralizer': '96.A', 'counter': 183, 'group_counter': 19, 'group_order': 1889568, 'label': '3DR1', 'order': 3, 'powers': [184, 1], 'representative': 188940183041739924776104, 'size': 96}
  • id: 99646823
    {'aut_label': '3DR1', 'centralizer': '96.A', 'counter': 184, 'group_counter': 19, 'group_order': 1889568, 'label': '3DR-1', 'order': 3, 'powers': [183, 1], 'representative': 188940202250156262286504, 'size': 96}
  • id: 99646824
    {'aut_label': '3DS1', 'centralizer': '96.A', 'counter': 185, 'group_counter': 19, 'group_order': 1889568, 'label': '3DS1', 'order': 3, 'powers': [186, 1], 'representative': 188940183041739924778504, 'size': 96}
  • id: 99646825
    {'aut_label': '3DS1', 'centralizer': '96.A', 'counter': 186, 'group_counter': 19, 'group_order': 1889568, 'label': '3DS-1', 'order': 3, 'powers': [185, 1], 'representative': 188940202250156262288904, 'size': 96}
  • id: 99646826
    {'aut_label': '3DO1', 'centralizer': '96.A', 'counter': 187, 'group_counter': 19, 'group_order': 1889568, 'label': '3DT1', 'order': 3, 'powers': [188, 1], 'representative': 188940183041739924779910, 'size': 96}
  • id: 99646827
    {'aut_label': '3DO1', 'centralizer': '96.A', 'counter': 188, 'group_counter': 19, 'group_order': 1889568, 'label': '3DT-1', 'order': 3, 'powers': [187, 1], 'representative': 188940202250156262290310, 'size': 96}
  • id: 99646828
    {'aut_label': '3DS1', 'centralizer': '96.A', 'counter': 189, 'group_counter': 19, 'group_order': 1889568, 'label': '3DU1', 'order': 3, 'powers': [190, 1], 'representative': 188940183041739924781141, 'size': 96}
  • id: 99646830
    {'aut_label': '3DS1', 'centralizer': '96.A', 'counter': 190, 'group_counter': 19, 'group_order': 1889568, 'label': '3DU-1', 'order': 3, 'powers': [189, 1], 'representative': 188940202250156262291541, 'size': 96}
  • id: 99646831
    {'aut_label': '3DR1', 'centralizer': '96.A', 'counter': 191, 'group_counter': 19, 'group_order': 1889568, 'label': '3DV1', 'order': 3, 'powers': [192, 1], 'representative': 188940183041739924783541, 'size': 96}
  • id: 99646832
    {'aut_label': '3DR1', 'centralizer': '96.A', 'counter': 192, 'group_counter': 19, 'group_order': 1889568, 'label': '3DV-1', 'order': 3, 'powers': [191, 1], 'representative': 188940202250156262293941, 'size': 96}
  • id: 99646833
    {'aut_label': '3DW1', 'centralizer': '96.A', 'counter': 193, 'group_counter': 19, 'group_order': 1889568, 'label': '3DW1', 'order': 3, 'powers': [194, 1], 'representative': 188940183041739924915984, 'size': 96}
  • id: 99646834
    {'aut_label': '3DW1', 'centralizer': '96.A', 'counter': 194, 'group_counter': 19, 'group_order': 1889568, 'label': '3DW-1', 'order': 3, 'powers': [193, 1], 'representative': 188940202250156262466680, 'size': 96}
  • id: 99646835
    {'aut_label': '3DX1', 'centralizer': '96.A', 'counter': 195, 'group_counter': 19, 'group_order': 1889568, 'label': '3DX1', 'order': 3, 'powers': [196, 1], 'representative': 188940183041739924917211, 'size': 96}
  • id: 99646836
    {'aut_label': '3DX1', 'centralizer': '96.A', 'counter': 196, 'group_counter': 19, 'group_order': 1889568, 'label': '3DX-1', 'order': 3, 'powers': [195, 1], 'representative': 188940202250156262467889, 'size': 96}
  • id: 99646837
    {'aut_label': '3DY1', 'centralizer': '96.A', 'counter': 197, 'group_counter': 19, 'group_order': 1889568, 'label': '3DY1', 'order': 3, 'powers': [198, 1], 'representative': 188940183041739924919611, 'size': 96}
  • id: 99646838
    {'aut_label': '3DY1', 'centralizer': '96.A', 'counter': 198, 'group_counter': 19, 'group_order': 1889568, 'label': '3DY-1', 'order': 3, 'powers': [197, 1], 'representative': 188940202250156262470289, 'size': 96}
  • id: 99646839
    {'aut_label': '3DX1', 'centralizer': '96.A', 'counter': 199, 'group_counter': 19, 'group_order': 1889568, 'label': '3DZ1', 'order': 3, 'powers': [200, 1], 'representative': 188940183041739924937010, 'size': 96}
  • id: 99646842
    {'aut_label': '3DX1', 'centralizer': '96.A', 'counter': 200, 'group_counter': 19, 'group_order': 1889568, 'label': '3DZ-1', 'order': 3, 'powers': [199, 1], 'representative': 188940202250156262487688, 'size': 96}
  • id: 99646843
    {'aut_label': '3EA1', 'centralizer': '96.A', 'counter': 201, 'group_counter': 19, 'group_order': 1889568, 'label': '3EA1', 'order': 3, 'powers': [202, 1], 'representative': 188940183041739924938116, 'size': 96}
  • id: 99646844
    {'aut_label': '3EA1', 'centralizer': '96.A', 'counter': 202, 'group_counter': 19, 'group_order': 1889568, 'label': '3EA-1', 'order': 3, 'powers': [201, 1], 'representative': 188940202250156262488776, 'size': 96}
  • id: 99646845
    {'aut_label': '3EB1', 'centralizer': '96.A', 'counter': 203, 'group_counter': 19, 'group_order': 1889568, 'label': '3EB1', 'order': 3, 'powers': [204, 1], 'representative': 188940183041739924939916, 'size': 96}
  • id: 99646846
    {'aut_label': '3EB1', 'centralizer': '96.A', 'counter': 204, 'group_counter': 19, 'group_order': 1889568, 'label': '3EB-1', 'order': 3, 'powers': [203, 1], 'representative': 188940202250156262490576, 'size': 96}
  • id: 99646847
    {'aut_label': '3DY1', 'centralizer': '96.A', 'counter': 205, 'group_counter': 19, 'group_order': 1889568, 'label': '3EC1', 'order': 3, 'powers': [206, 1], 'representative': 188940183041739924942048, 'size': 96}
  • id: 99646848
    {'aut_label': '3DY1', 'centralizer': '96.A', 'counter': 206, 'group_counter': 19, 'group_order': 1889568, 'label': '3EC-1', 'order': 3, 'powers': [205, 1], 'representative': 188940202250156262492726, 'size': 96}
  • id: 99646849
    {'aut_label': '3EB1', 'centralizer': '96.A', 'counter': 207, 'group_counter': 19, 'group_order': 1889568, 'label': '3ED1', 'order': 3, 'powers': [208, 1], 'representative': 188940183041739924943153, 'size': 96}
  • id: 99646850
    {'aut_label': '3EB1', 'centralizer': '96.A', 'counter': 208, 'group_counter': 19, 'group_order': 1889568, 'label': '3ED-1', 'order': 3, 'powers': [207, 1], 'representative': 188940202250156262493813, 'size': 96}
  • id: 99646851
    {'aut_label': '3EE1', 'centralizer': '96.A', 'counter': 209, 'group_counter': 19, 'group_order': 1889568, 'label': '3EE1', 'order': 3, 'powers': [210, 1], 'representative': 188940183041739924944953, 'size': 96}
  • id: 99646853
    {'aut_label': '3EE1', 'centralizer': '96.A', 'counter': 210, 'group_counter': 19, 'group_order': 1889568, 'label': '3EE-1', 'order': 3, 'powers': [209, 1], 'representative': 188940202250156262495613, 'size': 96}
  • id: 99646854
    {'aut_label': '3DW1', 'centralizer': '96.A', 'counter': 211, 'group_counter': 19, 'group_order': 1889568, 'label': '3EF1', 'order': 3, 'powers': [212, 1], 'representative': 188940183041739924956280, 'size': 96}
  • id: 99646855
    {'aut_label': '3DW1', 'centralizer': '96.A', 'counter': 212, 'group_counter': 19, 'group_order': 1889568, 'label': '3EF-1', 'order': 3, 'powers': [211, 1], 'representative': 188940202250156262426384, 'size': 96}
  • id: 99646856
    {'aut_label': '3DY1', 'centralizer': '96.A', 'counter': 213, 'group_counter': 19, 'group_order': 1889568, 'label': '3EG1', 'order': 3, 'powers': [214, 1], 'representative': 188940183041739924957489, 'size': 96}
  • id: 99646857
    {'aut_label': '3DY1', 'centralizer': '96.A', 'counter': 214, 'group_counter': 19, 'group_order': 1889568, 'label': '3EG-1', 'order': 3, 'powers': [213, 1], 'representative': 188940202250156262427611, 'size': 96}
  • id: 99646858
    {'aut_label': '3DX1', 'centralizer': '96.A', 'counter': 215, 'group_counter': 19, 'group_order': 1889568, 'label': '3EH1', 'order': 3, 'powers': [216, 1], 'representative': 188940183041739924959889, 'size': 96}
  • id: 99646859
    {'aut_label': '3DX1', 'centralizer': '96.A', 'counter': 216, 'group_counter': 19, 'group_order': 1889568, 'label': '3EH-1', 'order': 3, 'powers': [215, 1], 'representative': 188940202250156262430011, 'size': 96}
  • id: 99646860
    {'aut_label': '3DY1', 'centralizer': '96.A', 'counter': 217, 'group_counter': 19, 'group_order': 1889568, 'label': '3EI1', 'order': 3, 'powers': [218, 1], 'representative': 188940183041739924977288, 'size': 96}
  • id: 99646861
    {'aut_label': '3DY1', 'centralizer': '96.A', 'counter': 218, 'group_counter': 19, 'group_order': 1889568, 'label': '3EI-1', 'order': 3, 'powers': [217, 1], 'representative': 188940202250156262447410, 'size': 96}
  • id: 99646862
    {'aut_label': '3EE1', 'centralizer': '96.A', 'counter': 219, 'group_counter': 19, 'group_order': 1889568, 'label': '3EJ1', 'order': 3, 'powers': [220, 1], 'representative': 188940183041739924978376, 'size': 96}
  • id: 99646864
    {'aut_label': '3EE1', 'centralizer': '96.A', 'counter': 220, 'group_counter': 19, 'group_order': 1889568, 'label': '3EJ-1', 'order': 3, 'powers': [219, 1], 'representative': 188940202250156262448516, 'size': 96}
  • id: 99646865
    {'aut_label': '3EB1', 'centralizer': '96.A', 'counter': 221, 'group_counter': 19, 'group_order': 1889568, 'label': '3EK1', 'order': 3, 'powers': [222, 1], 'representative': 188940183041739924980176, 'size': 96}
  • id: 99646866
    {'aut_label': '3EB1', 'centralizer': '96.A', 'counter': 222, 'group_counter': 19, 'group_order': 1889568, 'label': '3EK-1', 'order': 3, 'powers': [221, 1], 'representative': 188940202250156262450316, 'size': 96}
  • id: 99646867
    {'aut_label': '3DX1', 'centralizer': '96.A', 'counter': 223, 'group_counter': 19, 'group_order': 1889568, 'label': '3EL1', 'order': 3, 'powers': [224, 1], 'representative': 188940183041739924982326, 'size': 96}
  • id: 99646868
    {'aut_label': '3DX1', 'centralizer': '96.A', 'counter': 224, 'group_counter': 19, 'group_order': 1889568, 'label': '3EL-1', 'order': 3, 'powers': [223, 1], 'representative': 188940202250156262452448, 'size': 96}
  • id: 99646869
    {'aut_label': '3EB1', 'centralizer': '96.A', 'counter': 225, 'group_counter': 19, 'group_order': 1889568, 'label': '3EM1', 'order': 3, 'powers': [226, 1], 'representative': 188940183041739924983413, 'size': 96}
  • id: 99646870
    {'aut_label': '3EB1', 'centralizer': '96.A', 'counter': 226, 'group_counter': 19, 'group_order': 1889568, 'label': '3EM-1', 'order': 3, 'powers': [225, 1], 'representative': 188940202250156262453553, 'size': 96}
  • id: 99646871
    {'aut_label': '3EA1', 'centralizer': '96.A', 'counter': 227, 'group_counter': 19, 'group_order': 1889568, 'label': '3EN1', 'order': 3, 'powers': [228, 1], 'representative': 188940183041739924985213, 'size': 96}
  • id: 99646872
    {'aut_label': '3EA1', 'centralizer': '96.A', 'counter': 228, 'group_counter': 19, 'group_order': 1889568, 'label': '3EN-1', 'order': 3, 'powers': [227, 1], 'representative': 188940202250156262455353, 'size': 96}
  • id: 99646873
    {'aut_label': '3EO1', 'centralizer': '96.A', 'counter': 229, 'group_counter': 19, 'group_order': 1889568, 'label': '3EO1', 'order': 3, 'powers': [230, 1], 'representative': 62854435540521185907011716, 'size': 96}
  • id: 99646875
    {'aut_label': '3EO1', 'centralizer': '96.A', 'counter': 230, 'group_counter': 19, 'group_order': 1889568, 'label': '3EO-1', 'order': 3, 'powers': [229, 1], 'representative': 62854435540521185907013516, 'size': 96}
  • id: 99646876
    {'aut_label': '3EP1', 'centralizer': '96.A', 'counter': 231, 'group_counter': 19, 'group_order': 1889568, 'label': '3EP1', 'order': 3, 'powers': [232, 1], 'representative': 62854435553346868602126153, 'size': 96}
  • id: 99646877
    {'aut_label': '3EP1', 'centralizer': '96.A', 'counter': 232, 'group_counter': 19, 'group_order': 1889568, 'label': '3EP-1', 'order': 3, 'powers': [231, 1], 'representative': 62854435572555284939636553, 'size': 96}
  • id: 99646878
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  • id: 99646973
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  • id: 99646975
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  • id: 99646976
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  • id: 99646977
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  • id: 99646978
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  • id: 99646979
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  • id: 99646980
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  • id: 99646981
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  • id: 99646982
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  • id: 99646983
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  • id: 99646984
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  • id: 99646986
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  • id: 99646987
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  • id: 99646988
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  • id: 99646989
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  • id: 99646990
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  • id: 99646991
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  • id: 99646992
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  • id: 99646993
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  • id: 99646994
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  • id: 99646995
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  • id: 99646997
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  • id: 99646998
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  • id: 99646999
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  • id: 99647000
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  • id: 99647001
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  • id: 99647002
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  • id: 99647003
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  • id: 99647004
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  • id: 99647005
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  • id: 99647006
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  • id: 99647008
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  • id: 99647010
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  • id: 99647011
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  • id: 99647012
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  • id: 99647013
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  • id: 99647014
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  • id: 99647015
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  • id: 99647016
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  • id: 99647017
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  • id: 99647019
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  • id: 99647020
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  • id: 99647021
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  • id: 99647022
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  • id: 99647023
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  • id: 99647024
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  • id: 99647025
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  • id: 99647026
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  • id: 99647027
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  • id: 99647028
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  • id: 99647030
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  • id: 99647031
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  • id: 99647032
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  • id: 99647033
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  • id: 99647034
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  • id: 99647035
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  • id: 99647036
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  • id: 99647037
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  • id: 99647038
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  • id: 99647039
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  • id: 99647041
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  • id: 99647042
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  • id: 99647043
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  • id: 99647044
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  • id: 99647045
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  • id: 99647046
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  • id: 99647047
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  • id: 99647048
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  • id: 99647049
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  • id: 99647050
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  • id: 99647052
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  • id: 99647053
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  • id: 99647054
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  • id: 99647055
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  • id: 99647056
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  • id: 99647058
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  • id: 99647059
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  • id: 99647060
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  • id: 99647061
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  • id: 99647064
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  • id: 99647065
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  • id: 99647066
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  • id: 99647067
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  • id: 99647068
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  • id: 99647069
    {'aut_label': '6BU1', 'centralizer': None, 'counter': 405, 'group_counter': 19, 'group_order': 1889568, 'label': '6CK-1', 'order': 6, 'powers': [108, 3], 'representative': 3313306068444511130521786693, 'size': 3888}
  • id: 99647070
    {'aut_label': '6CH1', 'centralizer': None, 'counter': 406, 'group_counter': 19, 'group_order': 1889568, 'label': '6CL1', 'order': 6, 'powers': [109, 4], 'representative': 5792250063506351879223163546, 'size': 3888}
  • id: 99647071
    {'aut_label': '6CH1', 'centralizer': None, 'counter': 407, 'group_counter': 19, 'group_order': 1889568, 'label': '6CL-1', 'order': 6, 'powers': [110, 4], 'representative': 4516610670028937682665318983, 'size': 3888}
  • id: 99647072
    {'aut_label': '6CF1', 'centralizer': None, 'counter': 408, 'group_counter': 19, 'group_order': 1889568, 'label': '6CM1', 'order': 6, 'powers': [111, 4], 'representative': 407827016231450616329016238, 'size': 3888}
  • id: 99647073
    {'aut_label': '6CF1', 'centralizer': None, 'counter': 409, 'group_counter': 19, 'group_order': 1889568, 'label': '6CM-1', 'order': 6, 'powers': [112, 4], 'representative': 407823644229271206529304381, 'size': 3888}
  • id: 99647075
    {'aut_label': '6BR1', 'centralizer': None, 'counter': 410, 'group_counter': 19, 'group_order': 1889568, 'label': '6CN1', 'order': 6, 'powers': [113, 4], 'representative': 6301975627181915249867078374, 'size': 3888}
  • id: 99647076
    {'aut_label': '6BR1', 'centralizer': None, 'counter': 411, 'group_counter': 19, 'group_order': 1889568, 'label': '6CN-1', 'order': 6, 'powers': [114, 4], 'representative': 6710230711766224349016190701, 'size': 3888}
  • id: 99647077
    {'aut_label': '6CO1', 'centralizer': None, 'counter': 412, 'group_counter': 19, 'group_order': 1889568, 'label': '6CO1', 'order': 6, 'powers': [23, 4], 'representative': 5788453200598136124536745219, 'size': 3888}
  • id: 99647078
    {'aut_label': '6CO1', 'centralizer': None, 'counter': 413, 'group_counter': 19, 'group_order': 1889568, 'label': '6CO-1', 'order': 6, 'powers': [24, 4], 'representative': 4521494489070014094583209219, 'size': 3888}
  • id: 99647079
    {'aut_label': '6CP1', 'centralizer': None, 'counter': 414, 'group_counter': 19, 'group_order': 1889568, 'label': '6CP1', 'order': 6, 'powers': [19, 4], 'representative': 2621738852885741726384128637, 'size': 3888}
  • id: 99647080
    {'aut_label': '6CP1', 'centralizer': None, 'counter': 415, 'group_counter': 19, 'group_order': 1889568, 'label': '6CP-1', 'order': 6, 'powers': [20, 4], 'representative': 1011467257216523431871742132, 'size': 3888}
  • id: 99647081
    {'aut_label': '6BT1', 'centralizer': None, 'counter': 416, 'group_counter': 19, 'group_order': 1889568, 'label': '6CQ1', 'order': 6, 'powers': [115, 4], 'representative': 4112342140744580608319882743, 'size': 3888}
  • id: 99647082
    {'aut_label': '6BT1', 'centralizer': None, 'counter': 417, 'group_counter': 19, 'group_order': 1889568, 'label': '6CQ-1', 'order': 6, 'powers': [116, 4], 'representative': 1278185594440264124740582366, 'size': 3888}
  • id: 99647083
    {'aut_label': '6CP1', 'centralizer': None, 'counter': 418, 'group_counter': 19, 'group_order': 1889568, 'label': '6CR1', 'order': 6, 'powers': [22, 4], 'representative': 2574997334199091478498384290, 'size': 3888}
  • id: 99647084
    {'aut_label': '6CP1', 'centralizer': None, 'counter': 419, 'group_counter': 19, 'group_order': 1889568, 'label': '6CR-1', 'order': 6, 'powers': [21, 4], 'representative': 965115867990234565924075249, 'size': 3888}
  • id: 99647086
    {'aut_label': '6CS1', 'centralizer': None, 'counter': 420, 'group_counter': 19, 'group_order': 1889568, 'label': '6CS1', 'order': 6, 'powers': [117, 3], 'representative': 5324802042272323660377921293, 'size': 3888}
  • id: 99647087
    {'aut_label': '6CS1', 'centralizer': None, 'counter': 421, 'group_counter': 19, 'group_order': 1889568, 'label': '6CS-1', 'order': 6, 'powers': [118, 3], 'representative': 3360041765677632654758972771, 'size': 3888}
  • id: 99647088
    {'aut_label': '6CT', 'centralizer': None, 'counter': 422, 'group_counter': 19, 'group_order': 1889568, 'label': '6CT', 'order': 6, 'powers': [9, 6], 'representative': 220578657135052630336258993, 'size': 4374}
  • id: 99647089
    {'aut_label': '6CT', 'centralizer': None, 'counter': 423, 'group_counter': 19, 'group_order': 1889568, 'label': '6CU', 'order': 6, 'powers': [9, 5], 'representative': 2545133399157392664165405253, 'size': 4374}
  • id: 99647090
    {'aut_label': '6CV', 'centralizer': None, 'counter': 424, 'group_counter': 19, 'group_order': 1889568, 'label': '6CV', 'order': 6, 'powers': [13, 5], 'representative': 124945152249133647618567122, 'size': 8748}
  • id: 99647091
    {'aut_label': '6CV', 'centralizer': None, 'counter': 425, 'group_counter': 19, 'group_order': 1889568, 'label': '6CW', 'order': 6, 'powers': [14, 6], 'representative': 6972274882122500421464904966, 'size': 8748}
  • id: 99647092
    {'aut_label': '6CX', 'centralizer': None, 'counter': 426, 'group_counter': 19, 'group_order': 1889568, 'label': '6CX', 'order': 6, 'powers': [12, 5], 'representative': 933837942940194967699481432, 'size': 8748}
  • id: 99647093
    {'aut_label': '6CX', 'centralizer': None, 'counter': 427, 'group_counter': 19, 'group_order': 1889568, 'label': '6CY', 'order': 6, 'powers': [12, 6], 'representative': 5480508738619695092993278128, 'size': 8748}
  • id: 99647094
    {'aut_label': '6CZ', 'centralizer': None, 'counter': 428, 'group_counter': 19, 'group_order': 1889568, 'label': '6CZ', 'order': 6, 'powers': [25, 6], 'representative': 3468604808701779601088537968, 'size': 17496}
  • id: 99647095
    {'aut_label': '6CZ', 'centralizer': None, 'counter': 429, 'group_counter': 19, 'group_order': 1889568, 'label': '6DA', 'order': 6, 'powers': [28, 5], 'representative': 2497548726275350700467680011, 'size': 17496}
  • id: 99647097
    {'aut_label': '6DB', 'centralizer': None, 'counter': 430, 'group_counter': 19, 'group_order': 1889568, 'label': '6DB', 'order': 6, 'powers': [26, 5], 'representative': 2435914400982556740473610779, 'size': 17496}
  • id: 99647098
    {'aut_label': '6DB', 'centralizer': None, 'counter': 431, 'group_counter': 19, 'group_order': 1889568, 'label': '6DC', 'order': 6, 'powers': [32, 6], 'representative': 5480508738024274344631101253, 'size': 17496}
  • id: 99647099
    {'aut_label': '9A', 'centralizer': None, 'counter': 432, 'group_counter': 19, 'group_order': 1889568, 'label': '9A', 'order': 9, 'powers': [432, 37], 'representative': 4159025670963797985229506550, 'size': 23328}
  • id: 99647100
    {'aut_label': '9A', 'centralizer': None, 'counter': 433, 'group_counter': 19, 'group_order': 1889568, 'label': '9B', 'order': 9, 'powers': [433, 37], 'representative': 6523531074462141972202373723, 'size': 23328}
  • id: 99647101
    {'aut_label': '9C1', 'centralizer': None, 'counter': 434, 'group_counter': 19, 'group_order': 1889568, 'label': '9C1', 'order': 9, 'powers': [435, 19], 'representative': 6120118273078524598253442329, 'size': 23328}
  • id: 99647102
    {'aut_label': '9C1', 'centralizer': None, 'counter': 435, 'group_counter': 19, 'group_order': 1889568, 'label': '9C-1', 'order': 9, 'powers': [434, 20], 'representative': 1465242052843660147340175962, 'size': 23328}
  • id: 99647103
    {'aut_label': '9D1', 'centralizer': None, 'counter': 436, 'group_counter': 19, 'group_order': 1889568, 'label': '9D1', 'order': 9, 'powers': [437, 10], 'representative': 2971515537572422269631358173, 'size': 23328}
  • id: 99647104
    {'aut_label': '9D1', 'centralizer': None, 'counter': 437, 'group_counter': 19, 'group_order': 1889568, 'label': '9D-1', 'order': 9, 'powers': [436, 11], 'representative': 5776589927113324314416604402, 'size': 23328}
  • id: 99647105
    {'aut_label': '9E1', 'centralizer': None, 'counter': 438, 'group_counter': 19, 'group_order': 1889568, 'label': '9E1', 'order': 9, 'powers': [439, 38], 'representative': 1698504493311245589395412258, 'size': 23328}
  • id: 99647106
    {'aut_label': '9E1', 'centralizer': None, 'counter': 439, 'group_counter': 19, 'group_order': 1889568, 'label': '9E-1', 'order': 9, 'powers': [438, 39], 'representative': 2083104265476920292533253784, 'size': 23328}
  • id: 99647108
    {'aut_label': '9E1', 'centralizer': None, 'counter': 440, 'group_counter': 19, 'group_order': 1889568, 'label': '9F1', 'order': 9, 'powers': [441, 39], 'representative': 3692547321553038471472099025, 'size': 23328}
  • id: 99647109
    {'aut_label': '9E1', 'centralizer': None, 'counter': 441, 'group_counter': 19, 'group_order': 1889568, 'label': '9F-1', 'order': 9, 'powers': [440, 38], 'representative': 1649902858284140979401353584, 'size': 23328}
  • id: 99647110
    {'aut_label': '9C1', 'centralizer': None, 'counter': 442, 'group_counter': 19, 'group_order': 1889568, 'label': '9G1', 'order': 9, 'powers': [443, 21], 'representative': 6270878918674991139974277521, 'size': 23328}
  • id: 99647111
    {'aut_label': '9C1', 'centralizer': None, 'counter': 443, 'group_counter': 19, 'group_order': 1889568, 'label': '9G-1', 'order': 9, 'powers': [442, 22], 'representative': 1403174732374345675338663992, 'size': 23328}
  • id: 99647112
    {'aut_label': '9E1', 'centralizer': None, 'counter': 444, 'group_counter': 19, 'group_order': 1889568, 'label': '9H1', 'order': 9, 'powers': [445, 40], 'representative': 4127959006368271247974473167, 'size': 23328}
  • id: 99647113
    {'aut_label': '9E1', 'centralizer': None, 'counter': 445, 'group_counter': 19, 'group_order': 1889568, 'label': '9H-1', 'order': 9, 'powers': [444, 41], 'representative': 2161088204523457599974785074, 'size': 23328}
  • id: 99647114
    {'aut_label': '9I1', 'centralizer': None, 'counter': 446, 'group_counter': 19, 'group_order': 1889568, 'label': '9I1', 'order': 9, 'powers': [447, 42], 'representative': 4938291685764288661555612962, 'size': 23328}
  • id: 99647115
    {'aut_label': '9I1', 'centralizer': None, 'counter': 447, 'group_counter': 19, 'group_order': 1889568, 'label': '9I-1', 'order': 9, 'powers': [446, 43], 'representative': 3803484863079443413295683273, 'size': 23328}
  • id: 99647116
    {'aut_label': '9J1', 'centralizer': None, 'counter': 448, 'group_counter': 19, 'group_order': 1889568, 'label': '9J1', 'order': 9, 'powers': [449, 23], 'representative': 2156792592208071300108850523, 'size': 23328}
  • id: 99647117
    {'aut_label': '9J1', 'centralizer': None, 'counter': 449, 'group_counter': 19, 'group_order': 1889568, 'label': '9J-1', 'order': 9, 'powers': [448, 24], 'representative': 4876317552305970785222557134, 'size': 23328}
  • id: 99647119
    {'aut_label': '9K1', 'centralizer': None, 'counter': 450, 'group_counter': 19, 'group_order': 1889568, 'label': '9K1', 'order': 9, 'powers': [451, 7], 'representative': 3772384835723592122058440703, 'size': 23328}
  • id: 99647120
    {'aut_label': '9K1', 'centralizer': None, 'counter': 451, 'group_counter': 19, 'group_order': 1889568, 'label': '9K-1', 'order': 9, 'powers': [450, 8], 'representative': 4934542028703031291940387040, 'size': 23328}
  • id: 99647121
    {'aut_label': '9I1', 'centralizer': None, 'counter': 452, 'group_counter': 19, 'group_order': 1889568, 'label': '9L1', 'order': 9, 'powers': [453, 43], 'representative': 4070360957061745840600031762, 'size': 23328}
  • id: 99647122
    {'aut_label': '9I1', 'centralizer': None, 'counter': 453, 'group_counter': 19, 'group_order': 1889568, 'label': '9L-1', 'order': 9, 'powers': [452, 42], 'representative': 3769980861284476103230612167, 'size': 23328}
  • id: 99647123
    {'aut_label': '9D1', 'centralizer': None, 'counter': 454, 'group_counter': 19, 'group_order': 1889568, 'label': '9M1', 'order': 9, 'powers': [455, 10], 'representative': 2063616248433629114509007256, 'size': 23328}
  • id: 99647124
    {'aut_label': '9D1', 'centralizer': None, 'counter': 455, 'group_counter': 19, 'group_order': 1889568, 'label': '9M-1', 'order': 9, 'powers': [454, 11], 'representative': 1245899748588071777229358627, 'size': 23328}
  • id: 99647125
    {'aut_label': '9E1', 'centralizer': None, 'counter': 456, 'group_counter': 19, 'group_order': 1889568, 'label': '9N1', 'order': 9, 'powers': [457, 40], 'representative': 3785615450358957876851816703, 'size': 23328}
  • id: 99647126
    {'aut_label': '9E1', 'centralizer': None, 'counter': 457, 'group_counter': 19, 'group_order': 1889568, 'label': '9N-1', 'order': 9, 'powers': [456, 41], 'representative': 4469222643755053788478345440, 'size': 23328}
  • id: 99647127
    {'aut_label': '12A1', 'centralizer': None, 'counter': 458, 'group_counter': 19, 'group_order': 1889568, 'label': '12A1', 'order': 12, 'powers': [283, 280], 'representative': 2863068422708045380849034683, 'size': 8748}
  • id: 99647128
    {'aut_label': '12A1', 'centralizer': None, 'counter': 459, 'group_counter': 19, 'group_order': 1889568, 'label': '12A-1', 'order': 12, 'powers': [283, 280], 'representative': 3878664986812555714168258483, 'size': 8748}
  • id: 99647130
    {'aut_label': '12B', 'centralizer': None, 'counter': 460, 'group_counter': 19, 'group_order': 1889568, 'label': '12B', 'order': 12, 'powers': [291, 280], 'representative': 514567956670888949792678438, 'size': 17496}
  • id: 99647131
    {'aut_label': '12C', 'centralizer': None, 'counter': 461, 'group_counter': 19, 'group_order': 1889568, 'label': '12C', 'order': 12, 'powers': [292, 280], 'representative': 7078296156275963780462655154, 'size': 17496}
  • id: 99647132
    {'aut_label': '12D1', 'centralizer': None, 'counter': 462, 'group_counter': 19, 'group_order': 1889568, 'label': '12D1', 'order': 12, 'powers': [295, 280], 'representative': 2925029831258004619040681759, 'size': 17496}
  • id: 99647133
    {'aut_label': '12D1', 'centralizer': None, 'counter': 463, 'group_counter': 19, 'group_order': 1889568, 'label': '12D-1', 'order': 12, 'powers': [296, 280], 'representative': 2207669553017348478245555159, 'size': 17496}
  • id: 99647134
    {'aut_label': '12E1', 'centralizer': None, 'counter': 464, 'group_counter': 19, 'group_order': 1889568, 'label': '12E1', 'order': 12, 'powers': [300, 280], 'representative': 6058396734073829288837221142, 'size': 17496}
  • id: 99647135
    {'aut_label': '12E1', 'centralizer': None, 'counter': 465, 'group_counter': 19, 'group_order': 1889568, 'label': '12E-1', 'order': 12, 'powers': [300, 280], 'representative': 594475307172843402159182292, 'size': 17496}
  • id: 99647136
    {'aut_label': '12F1', 'centralizer': None, 'counter': 466, 'group_counter': 19, 'group_order': 1889568, 'label': '12F1', 'order': 12, 'powers': [297, 280], 'representative': 3388307476656938750427175692, 'size': 17496}
  • id: 99647137
    {'aut_label': '12F1', 'centralizer': None, 'counter': 467, 'group_counter': 19, 'group_order': 1889568, 'label': '12F-1', 'order': 12, 'powers': [298, 280], 'representative': 3282542324219959923089089995, 'size': 17496}
  • id: 99647138
    {'aut_label': '12G1', 'centralizer': None, 'counter': 468, 'group_counter': 19, 'group_order': 1889568, 'label': '12G1', 'order': 12, 'powers': [321, 280], 'representative': 6487643430010249083361453659, 'size': 17496}
  • id: 99647139
    {'aut_label': '12G1', 'centralizer': None, 'counter': 469, 'group_counter': 19, 'group_order': 1889568, 'label': '12G-1', 'order': 12, 'powers': [322, 280], 'representative': 2265345261381531860998855411, 'size': 17496}
  • id: 99647141
    {'aut_label': '12G1', 'centralizer': None, 'counter': 470, 'group_counter': 19, 'group_order': 1889568, 'label': '12G5', 'order': 12, 'powers': [322, 280], 'representative': 6058319177274282186258881011, 'size': 17496}
  • id: 99647142
    {'aut_label': '12G1', 'centralizer': None, 'counter': 471, 'group_counter': 19, 'group_order': 1889568, 'label': '12G-5', 'order': 12, 'powers': [321, 280], 'representative': 516300239074134544338599259, 'size': 17496}
  • id: 99647143
    {'aut_label': '12H', 'centralizer': None, 'counter': 472, 'group_counter': 19, 'group_order': 1889568, 'label': '12H', 'order': 12, 'powers': [424, 281], 'representative': 158529219000302321643427101, 'size': 157464}
  • id: 99647144
    {'aut_label': '12H', 'centralizer': None, 'counter': 473, 'group_counter': 19, 'group_order': 1889568, 'label': '12I', 'order': 12, 'powers': [425, 282], 'representative': 2203447818454733167551013651, 'size': 157464}
• group 1889568.s does not appear in gps_qchar
• group 1889568.s does not appear in gps_char
• gps_subgroup_search •

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

  
  
  • id: 21802781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1889568, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '1889568.s.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1889568.s', 'subgroup_hash': 3720970537705713572, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^9.C_2^4.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 21802792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 944784, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '944784.bi', 'subgroup_hash': 7928976511409121031, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^9.C_2^4.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 21802803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.3.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.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': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3084176787672466091, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^8.C_2^3:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 21802814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.4.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '472392.cw', 'subgroup_hash': 6965806462220391726, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^3.C_3\\wr S_4', 'supersolvable': False, 'sylow': 0}
  • id: 21802822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.4.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '472392.cy', 'subgroup_hash': 4600950992389850519, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^9.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 21802823
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 314928, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.6.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['D2', 'C2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5490274304699980265, 'subgroup_order': 314928, 'subgroup_tex': 'C_3^9.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 21802824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.6.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8737228564441478707, 'subgroup_order': 314928, 'subgroup_tex': 'C_3^9.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 21802825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.6.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7234620507512277699, 'subgroup_order': 314928, 'subgroup_tex': 'C_3^9.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 21802826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.6.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6848206894283389710, 'subgroup_order': 314928, 'subgroup_tex': 'C_3^8.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 21802782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.6.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2724353623592794752, 'subgroup_order': 314928, 'subgroup_tex': 'C_3^9.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 21802783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.8.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '236196.fc', 'subgroup_hash': 1444428931506182356, 'subgroup_order': 236196, 'subgroup_tex': 'C_3^3.C_3\\wr A_4', 'supersolvable': False, 'sylow': 0}
  • id: 21802784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.8.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '236196.fc', 'subgroup_hash': 1444428931506182356, 'subgroup_order': 236196, 'subgroup_tex': 'C_3^3.C_3\\wr A_4', 'supersolvable': False, 'sylow': 0}
  • id: 21802785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.8.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '236196.fd', 'subgroup_hash': 4112069791225206854, 'subgroup_order': 236196, 'subgroup_tex': 'C_3^9.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 21802786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.9.a1', 'maximal': False, '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': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7616111050484059727, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^6.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 21802787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.12.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4784478002124764119, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^7.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 21802788
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.12.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3135922120405273547, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 21802789
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.12.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7923220742696645203, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 21802790
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.12.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7923220742696645203, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 21802791
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.12.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1492458588930534583, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^9.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 21802793
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.12.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3649559386215667809, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^9.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 21802794
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.12.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7923220742696645203, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 21802795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.12.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4784478002124764119, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^7.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 21802796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.12.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '157464.ec', 'subgroup_hash': 8275819453664898058, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^8.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 21802797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.12.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5241468530535636623, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^8.C_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 21802798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.12.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5668743186708925691, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^9.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 21802799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7107784832799614328, 'subgroup_order': 118098, 'subgroup_tex': 'C_3^7.C_3^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 21802800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.18.A', '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': False, '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': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 273863028324986412, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 21802801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.18.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8981429265330234122, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 21802802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.18.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8878783775220667966, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 21802804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.18.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3035343108006057806, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^7.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 21802805
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.18.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5789808448774455366, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 21802806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.18.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3035343108006057806, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^7.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 21802807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.18.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 35868055105084147, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 21802808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.18.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4072864036660873750, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 21802809
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.18.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5789808448774455366, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 21802810
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': True, 'core_order': 78732, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.24.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3412454645336214828, 'subgroup_order': 78732, 'subgroup_tex': 'C_3^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 21802811
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 78732, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.24.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3600835139723824456, 'subgroup_order': 78732, 'subgroup_tex': 'C_3^8.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 21802812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.27.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.a1.M', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '69984.p', 'subgroup_hash': 6223392654250980061, 'subgroup_order': 69984, 'subgroup_tex': 'C_3^5:D_6:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 21802813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '1889568.s.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6193664904592433400, 'subgroup_order': 59049, 'subgroup_tex': 'C_3^9.C_3', 'supersolvable': True, 'sylow': 3}
  • id: 21802815
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': 19683, 'characteristic': True, 'core_order': 19683, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.96.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.227', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 227, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2:S_4', 'simple': False, 'solvable': True, 'special_labels': ['F', 'S', 'D3', 'C4'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5585183472077698458, 'subgroup_order': 19683, 'subgroup_tex': 'C_3^9', 'supersolvable': True, 'sylow': 0}
  • id: 21802816
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': 27, 'characteristic': True, 'core_order': 2916, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.648.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '648.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '648.704', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 704, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 648, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^3:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2916.ld', 'subgroup_hash': 2310896937790502961, 'subgroup_order': 2916, 'subgroup_tex': 'C_3^5:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 21802817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.729.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '729.a1.M', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 729, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.ce', 'subgroup_hash': 659196483080109522, 'subgroup_order': 2592, 'subgroup_tex': '(C_3\\times C_6^2):S_4', 'supersolvable': False, 'sylow': 0}
  • id: 21802818
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': 19683, 'characteristic': True, 'core_order': 729, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.2592.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '2592.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2592.ce', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 659196483080109522, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2592, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_3\\times C_6^2):S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.504', 'subgroup_hash': 504, 'subgroup_order': 729, 'subgroup_tex': 'C_3^6', 'supersolvable': True, 'sylow': 0}
  • id: 21802819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1889568.s.59049.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '59049.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': 59049, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 2}
  • id: 21802820
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': False, 'central_factor': False, 'centralizer_order': 78732, 'characteristic': True, 'core_order': 27, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1889568.s.69984.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '69984.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '69984.p', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6223392654250980061, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 69984, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^5:D_6:S_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 21802821
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1889568.s', 'ambient_counter': 19, 'ambient_order': 1889568, 'ambient_tex': 'C_3^9.C_2^4.S_3', 'central': True, 'central_factor': False, 'centralizer_order': 1889568, 'characteristic': True, 'core_order': 1, 'counter': 46, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '1889568.s.1889568.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1889568.a1.N', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '1889568.s', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3720970537705713572, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1889568, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^9.C_2^4.S_3', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'Phi', 'PC', 'U0', 'D4', 'C6'], '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: 21802818
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '2592.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 2354, -1, 8345], 'generators': [233846661901557094790400, 233846809513253731065600, 7922515662811805932800, 979941188792966400, 824602954043422233231552000, 62692472375182416044678400], 'label': '1889568.s.2592.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2592.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2592.a1.N', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2592.A', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 21802819
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '59049.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': '1889568.a1', 'coset_action_label': None, 'count': 59049, 'diagramx': None, 'generators': [7093829741329960321474252800, 2125865913782639390758233678, 6875889114076646787756286128, 7003108056375757843020806400, 124899121826322727443463590], 'label': '1889568.s.59049.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '59049.a1', 'old_label': '59049.a1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '59049.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 21802820
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '69984.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '69984.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 2134, -1, 9075], 'generators': [207480, 26072, 4353], 'label': '1889568.s.69984.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '69984.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '69984.a1.N', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '69984.A', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 21802821
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '1889568.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': '1889568.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1733, -1, 9760], 'generators': [], 'label': '1889568.s.1889568.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1889568.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1889568.a1.N', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1889568.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 21802781
    {'ambient': '1889568.s', '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': [654, 4689, 135, 649], 'generators': [822094339221260451751703296, 853225894940281122564068095, 62699270031465674390784000, 561040579317150471587184796, 57999368944742400, 93748974527704656935362566, 207480, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 3468596071809855769035932811, 27304, 206924763943998809432, 1012331081592230400], 'label': '1889568.s.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': '1889568.s', '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': '1889568.s'}
  • id: 21802782
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '6.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': '24.A', 'coset_action_label': None, 'count': 3, 'diagramx': [2659, -1, 2227, -1], 'generators': [853225894940281122564068095, 62699270031465674390784000, 57999368944742400, 7109386984203372498061749170, 207480, 3313306067957909718399318193, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 27304, 206924763943998809432, 1012331081592230400], 'label': '1889568.s.6.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.e1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802783
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '8.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 4, 'diagramx': [1314, -1, 3291, -1], 'generators': [4353, 979941188792993704, 207480, 62692472375182416044846811, 233846661901557094790400, 7922515662811806140280, 899711397288240510687471541, 3313305812375823617101924153, 824602954043422233231720411, 26072, 233846809513253731232784, 561040579317150471587184796], 'label': '1889568.s.8.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '8.a1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.A', 'subgroup_fusion': None, 'weyl_group': '157464.ea'}
  • id: 21802784
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '8.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 8, 'diagramx': [2335, -1, 3595, -1], 'generators': [4353, 979941188792993704, 207480, 62692472375182416044846811, 233846661901557094790400, 7922515662811806140280, 824602954043422233231720411, 7109386984203372498061749170, 93748923436737640331022726, 26072, 233846809513253731232784, 561040579317150471587184796], 'label': '1889568.s.8.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.B', 'old_label': '8.b1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.B', 'subgroup_fusion': None, 'weyl_group': '78732.go'}
  • id: 21802785
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '8.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 8, 'diagramx': [455, -1, 3035, -1], 'generators': [4353, 979941188792993704, 207480, 62692472375182416044846811, 233846661901557094790400, 7922515662811806140280, 822094339221260451751703296, 824602954043422233231720411, 26072, 233846809513253731232784, 206924763943998809432, 561040579317150471587184796], 'label': '1889568.s.8.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '8.c1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.C', 'subgroup_fusion': None, 'weyl_group': '472392.cy'}
  • id: 21802786
    {'ambient': '1889568.s', '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': '648.A', 'coset_action_label': None, 'count': 9, 'diagramx': [747, -1, 3937, -1], 'generators': [7922515662811805932800, 853225894940281122564068095, 26072, 233846661901557094790400, 822094339221260451751541968, 979941188792993704, 62692472375182416044679753, 233846809513253731065600, 3468596071809855769035725457, 4353, 824602954043422233231553353, 93748974527704656935200494, 206924763943998809432], 'label': '1889568.s.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': '1889568.s', '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: 21802787
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '12.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': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9545, -1, 6937, -1], 'generators': [62699270031465674390784000, 57999368944742400, 7109386984203372498061749170, 207480, 3313306067957909718399318193, 11294563034221559769600, 4353, 47260046679726172519356317, 241767480533799385267200, 824609749260756796608096000, 27304, 1012331081592230400], 'label': '1889568.s.12.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.a1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802788
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '12.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': '24.B', 'coset_action_label': None, 'count': 6, 'diagramx': [4034, -1, 5297, -1], 'generators': [822094339221260451751703296, 62699270031465674390784000, 57999368944742400, 93748974527704656935362566, 207480, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 27304, 206924763943998809432, 1012331081592230400], 'label': '1889568.s.12.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.b1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802789
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '12.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': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6538, -1, 6042, -1], 'generators': [62699270031465674390784000, 57999368944742400, 93748974527704656935362566, 7109386984203372498061749170, 207480, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 27304, 206924763943998809432, 1012331081592230400], 'label': '1889568.s.12.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.c1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802790
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '12.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': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': [5704, -1, 5794, -1], 'generators': [62699270031465674390784000, 57999368944742400, 207480, 11294563034221559769600, 4353, 47260046679726172519356317, 241767480533799385267200, 824609749260756796608096000, 27304, 206924763943998809432, 899711397288240510687471541, 1012331081592230400], 'label': '1889568.s.12.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.d1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802791
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '12.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': '96.A', 'coset_action_label': None, 'count': 3, 'diagramx': [617, -1, 4280, -1], 'generators': [62699270031465674390784000, 57999368944742400, 207480, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 6922452224052995318834177292, 27304, 206924763943998809432, 899711397288240510687471541, 1012331081592230400], 'label': '1889568.s.12.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.e1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802792
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [617, 4471, 439, 2109], 'generators': [4353, 979941188792993704, 207480, 62692472375182416044846811, 3468596071809855769035932811, 233846661901557094790400, 7922515662811806140280, 822094339221260451751703296, 824602954043422233231720411, 26072, 233846809513253731232784, 206924763943998809432, 93748974527704656935362566, 561040579317150471587184796], 'label': '1889568.s.2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '1889568.s'}
  • id: 21802793
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '12.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': '96.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3169, -1, 5040, -1], 'generators': [62699270031465674390784000, 853225894940281122564068095, 57999368944742400, 207480, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 27304, 206924763943998809432, 899711397288240510687471541, 1012331081592230400], 'label': '1889568.s.12.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.f1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802794
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '12.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': '24.A', 'coset_action_label': None, 'count': 3, 'diagramx': [4868, -1, 5546, -1], 'generators': [3468595762832766546430834876, 822094339221260451751703296, 62699270031465674390784000, 57999368944742400, 93748974527704656935362566, 207480, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 27304, 1012331081592230400], 'label': '1889568.s.12.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.g1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802795
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '12.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': '24.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8524, -1, 6633, -1], 'generators': [4353, 62699270031465674390784000, 207480, 824609749260756796608096000, 47263574265259322918098632, 27304, 57999368944742400, 899711397288240510687471541, 3313305812375823617101924153, 1012331081592230400, 241767480533799385267200, 11294563034221559769600], 'label': '1889568.s.12.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.h1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802796
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '12.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': '648.A', 'coset_action_label': None, 'count': 4, 'diagramx': [1575, -1, 4565, -1], 'generators': [62699270031465674390784000, 824609749260756796608096000, 47263574265259322918098632, 189316, 57999368944742400, 899711397288240510687469141, 3313305812375823617101921248, 561040579317150471587179753, 1012331081592230400, 170811, 241767480533799385267200, 11294563034221559769600], 'label': '1889568.s.12.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '12.i1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.I', 'subgroup_fusion': None, 'weyl_group': '157464.ea'}
  • id: 21802797
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '12.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': '96.A', 'coset_action_label': None, 'count': 12, 'diagramx': [7485, -1, 6324, -1], 'generators': [62699270031465674390784000, 853225894940281122564068095, 57999368944742400, 93748974527704656935362566, 207480, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 27304, 206924763943998809432, 1012331081592230400], 'label': '1889568.s.12.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.j1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802798
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '12.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': '24.B', 'coset_action_label': None, 'count': 12, 'diagramx': [2372, -1, 4803, -1], 'generators': [3468595762832766546430834876, 47263574265259322918098632, 62699270031465674390784000, 57999368944742400, 207480, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 6937965375301447571601853488, 27304, 1012331081592230400], 'label': '1889568.s.12.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.k1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802799
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 16, 'diagramx': [729, -1, 7274, -1], 'generators': [4353, 207480, 979941188792993704, 977399929011130458057280249, 2067391656635423798797362356, 62692472375182416044846811, 233846661901557094790400, 7922515662811806140280, 824602954043422233231720411, 26072, 233846809513253731232784], 'label': '1889568.s.16.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '16.a1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802800
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '18.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': '69984.A', 'coset_action_label': None, 'count': 36, 'diagramx': [8188, -1, 9865, -1], 'generators': [4353, 979941188792993704, 207480, 62692472375182416044846811, 233846661901557094790400, 7922515662811806140280, 822094339221260451751703296, 853225894940281122564068095, 26072, 233846809513253731232784, 206924763943998809432, 93748974527704656935362566], 'label': '1889568.s.18.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '18.a1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802801
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '18.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': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2229, -1, 8092, -1], 'generators': [7922515662811805932800, 853225894940281122564068095, 26072, 233846661901557094790400, 822094339221260451751541968, 979941188792993704, 62692472375182416044679753, 233846809513253731065600, 4353, 824602954043422233231553353, 93748974527704656935200494, 206924763943998809432], 'label': '1889568.s.18.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.b1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802802
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '18.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': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3194, -1, 8379, -1], 'generators': [822094339221260451751703296, 7922515662811805932800, 26072, 233846661901557094790400, 6922452224052995318833975020, 93748974527704656935362566, 979941188792993704, 62692472375182416044679753, 233846809513253731065600, 4353, 824602954043422233231553353, 206924763943998809432], 'label': '1889568.s.18.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.c1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802803
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '3.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': '6.A', 'coset_action_label': None, 'count': 3, 'diagramx': [622, -1, 745, -1], 'generators': [822094339221260451751703296, 853225894940281122564068095, 62699270031465674390784000, 57999368944742400, 93748974527704656935362566, 207480, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 3468596071809855769035932811, 27304, 206924763943998809432, 1012331081592230400], 'label': '1889568.s.3.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '3.a1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802804
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '18.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': '69984.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5236, -1, 8986, -1], 'generators': [4353, 2435287003943763532811902088, 207480, 3313306067957909718399318193, 871163713584642094372838289, 7093876083137173800798639793, 824810945390963512217275611, 6922452224052995318834177292, 26072, 233846809513253731232784, 206924763943998809432, 824609749260756796608097353], 'label': '1889568.s.18.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.D', 'old_label': '18.d1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802805
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '18.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': '69984.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1357, -1, 7832, -1], 'generators': [2435293799161096782842206011, 4353, 2435287003943763532811902088, 207480, 62692472375182416044846811, 3453084552789392494331065393, 824810944365869547550672689, 822094339221260451751703296, 233350989045036032801201171, 26072, 2435494995291325734663532689, 206924763943998809432], 'label': '1889568.s.18.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '18.e1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802806
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '18.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': '648.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4215, -1, 8683, -1], 'generators': [207480, 3313306067957909718399320833, 29704, 233846661901557094790400, 7922515662811806140280, 6922452224052995318834151967, 979941188792996104, 824602954043422233231719184, 7109386984203372498061749170, 62692472375182416044845584, 233846809513253731232784, 206924763943998809432], 'label': '1889568.s.18.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.F', 'old_label': '18.f1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802807
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '18.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': '648.A', 'coset_action_label': None, 'count': 3, 'diagramx': [7223, -1, 9578, -1], 'generators': [7922515662811805932800, 26072, 233846661901557094790400, 6922452224052995318833975020, 3313306067957909718399156181, 979941188792993704, 7109386984203372498061587032, 62692472375182416044679753, 233846809513253731065600, 4353, 824602954043422233231553353, 206924763943998809432], 'label': '1889568.s.18.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '18.g1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802808
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '18.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': '648.A', 'coset_action_label': None, 'count': 9, 'diagramx': [6258, -1, 9290, -1], 'generators': [7922515662811805932800, 853225894940281122564068095, 26072, 233846661901557094790400, 3313306067957909718399156181, 979941188792993704, 7109386984203372498061587032, 62692472375182416044679753, 233846809513253731065600, 4353, 824602954043422233231553353, 206924763943998809432], 'label': '1889568.s.18.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.h1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802809
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '18.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': '648.A', 'coset_action_label': None, 'count': 9, 'diagramx': [523, -1, 7584, -1], 'generators': [4353, 207480, 93748974527704656935367608, 979941188792967753, 62692472375182416044846811, 3468596071809855769035932811, 233846661901557094790400, 7922515662811806140280, 822094339221260451751703296, 824602954043422233231720411, 233846809513253731232784, 206924763943998809432], 'label': '1889568.s.18.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.i1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802810
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '24.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '69984.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 3740, -1, 4626], 'generators': [4353, 207480, 979941188792993704, 62692472375182416044846811, 233846661901557094790400, 7922515662811806140280, 899711397288240510687471541, 3313305812375823617101924153, 824602954043422233231720411, 26072, 233846809513253731232784], 'label': '1889568.s.24.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.a1.N', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.A', 'subgroup_fusion': None, 'weyl_group': '69984.p'}
  • id: 21802811
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '24.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1889568.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 2, 'diagramx': [-1, 8267, -1, 5730], 'generators': [4353, 207480, 979941188792993704, 62692472375182416044846811, 233846661901557094790400, 7922515662811806140280, 822094339221260451751703296, 824602954043422233231720411, 26072, 233846809513253731232784, 206924763943998809432], 'label': '1889568.s.24.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '24.b1.N', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.B', 'subgroup_fusion': None, 'weyl_group': '1889568.s'}
  • id: 21802812
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '27.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': '648.A', 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [7922515662811805932800, 62692472375182416044678400, 853225894940281122564068095, 233846661901557094790400, 233846809513253731065600, 206924763943998804390, 822094339221260451751533294, 561040579317150471587219679, 979941188792966400, 93748974527704656935200494, 3468596071809855769035725544, 824602954043422233231552000], 'label': '1889568.s.27.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.A', 'old_label': '27.a1.M', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802813
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1353, 27304, 62848761315176756738032516, 229576, 182142795326103016911541, 32389899030084411, 1101586289162077753, 5745671424810478833176069504, 11294684679321892422872, 824810945371756409781219126], 'label': '1889568.s.32.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.a1', 'old_label': '32.a1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802814
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '4.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '24.A', 'coset_action_label': None, 'count': 4, 'diagramx': [716, -1, 1078, -1], 'generators': [47263574265259322918098632, 62699270031465674390784000, 561040579317150471587184796, 57999368944742400, 207480, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 3313305812375823617101924153, 27304, 899711397288240510687471541, 1012331081592230400], 'label': '1889568.s.4.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.A', 'old_label': '4.a1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.A', 'subgroup_fusion': None, 'weyl_group': '157464.ea'}
  • id: 21802815
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '96.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '96.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 2792, -1, 6602], 'generators': [207480, 233846661901557094790400, 26072, 824602954043422233231720411, 233846809513253731232784, 62692472375182416044846811, 7922515662811806140280, 4353, 979941188792993704], 'label': '1889568.s.96.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '96.a1.N', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.A', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 21802816
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '648.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '69984.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '648.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 3120, -1, 7474], 'generators': [233846661901557094790400, 233846809513253731065600, 7922515662811805932800, 979941188792966400, 899711397288240510687436800, 824602954043422233231552000, 3313305812375823617101728000, 62692472375182416044678400], 'label': '1889568.s.648.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '648.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '648.a1.N', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648.A', 'subgroup_fusion': None, 'weyl_group': '69984.p'}
  • id: 21802817
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '729.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': '69984.A', 'coset_action_label': None, 'count': 729, 'diagramx': None, 'generators': [207480, 217830375311871456980124770, 26072, 2545133398280245135462176026, 607708277706314519842313113, 124902493828507461346188424, 4353, 2483351830335995290660863374, 3452876561416576485044639176], 'label': '1889568.s.729.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '729.A', 'old_label': '729.a1.M', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '729.A', 'subgroup_fusion': None, 'weyl_group': '8748.c'}
  • id: 21802822
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '4.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 2, 'contained_in': None, 'contains': None, 'core': '24.B', 'coset_action_label': None, 'count': 8, 'diagramx': [1675, -1, 1364, -1], 'generators': [822094339221260451751703296, 62699270031465674390784000, 853225894940281122564068095, 561040579317150471587184796, 57999368944742400, 207480, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 27304, 206924763943998809432, 1012331081592230400], 'label': '1889568.s.4.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.B', 'old_label': '4.b1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.B', 'subgroup_fusion': None, 'weyl_group': '472392.cy'}
  • id: 21802823
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '6.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': '6.A', 'coset_action_label': None, 'count': 1, 'diagramx': [4607, 3923, 2807, 3434], 'generators': [822094339221260451751703296, 62699270031465674390784000, 57999368944742400, 93748974527704656935362566, 207480, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 3468596071809855769035932811, 27304, 206924763943998809432, 1012331081592230400], 'label': '1889568.s.6.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.A', 'subgroup_fusion': None, 'weyl_group': '1889568.s'}
  • id: 21802824
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '6.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': '24.B', 'coset_action_label': None, 'count': 6, 'diagramx': [617, -1, 1619, -1], 'generators': [62699270031465674390784000, 57999368944742400, 207480, 11294563034221559769600, 977399929011130458057280249, 4353, 241767480533799385267200, 824609749260756796608096000, 3468596071809855769035932811, 27304, 206924763943998809432, 899711397288240510687471541, 1012331081592230400], 'label': '1889568.s.6.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.b1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802825
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '6.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': '24.B', 'coset_action_label': None, 'count': 6, 'diagramx': [1638, -1, 1923, -1], 'generators': [822094339221260451751703296, 62699270031465674390784000, 57999368944742400, 93748974527704656935362566, 207480, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 6922452224052995318834177292, 27304, 206924763943998809432, 1012331081592230400], 'label': '1889568.s.6.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.c1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 21802826
    {'ambient': '1889568.s', 'aut_centralizer_order': None, 'aut_label': '6.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': '24.A', 'coset_action_label': None, 'count': 3, 'diagramx': [3680, -1, 2531, -1], 'generators': [62699270031465674390784000, 57999368944742400, 7109386984203372498061749170, 207480, 3313306067957909718399318193, 11294563034221559769600, 4353, 241767480533799385267200, 824609749260756796608096000, 6922452224052995318834177292, 27304, 206924763943998809432, 1012331081592230400], 'label': '1889568.s.6.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.d1', 'projective_image': '1889568.s', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.D', 'subgroup_fusion': None, 'weyl_group': None}