Abstract group data - 17006112.cy

Formats: - HTML - YAML - JSON - 2026-02-03T21:11:26.532343

• 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': '18.5', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[127943524472594795756000759478425799594243, 74157170456011021753596671170283600983805], [148609565497368806126697864700279412164084, 64120588202275111091903673991692261386639], [148610091749896442002808280860753360532724, 84786077492256869695144933741865279962825], [148609820413903959291433202621628804138480, 64119781568023115071619282029635348477931], [106365480189847257814638046390118783007361, 74158248452475915470825509805422297419005], [127944602469058834494197894297990638368003, 74157170456012683288572057229322557968575], [106365480189847257814625498449030412261905, 32208063039530379266346533146708226379001], [137982517636407036869685967623135677196964, 74157170456011876732618260302290299649469], [148609820405367892225227467403999816699124, 64119255288664480964775084230059973719802], [137981439639941755399192441784963271639744, 74157696726831927234531488685069585025229], [148609565505906098603225038742143866481348, 84786077492257288549525002248991623844601], [127943524472594795756000759478425799594243, 74157170456011021753596671170283600983805], [127943524472595214585647946881884352042243, 64119510205808991991334662878624973483465], [137981711002154604700024497762465385431844, 64119781568021453511918190839867443793865], [137981439639941336544819792206479879722244, 74157425373155532780158562121802377764605], [137981439639942143179446078895346600874244, 74157425373155532780156250530049064023805], [127943524472594795755998205307927432187027, 74157170456011021753596671170364508753869], [127943269555450672536665726689567522410243, 74157170456010602926197485222729056894205], [137981439639941336544814927113838382679844, 74157170456010602926194930299010253403069], [137981439639941336544814927113838382679844, 64119510214346284416160358701016069182106], [127943269573133808743894046947301531194880, 84785806147118962107448778128401027646105], [137981710984470692932291699656678829178884, 64119510214345865640467517153119220251066], [148609820405367892225232333208190570026387, 64119510214346672248117786375497757246106], [137981184731943057080913922355985872532627, 74157696717686550675632392041957132240475], [255592630984642447900445943303450743031627, 329453753528078160167469053436555761711429]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 7346640384, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': None, 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 54, 1], [2, 243, 1], [2, 486, 1], [2, 2916, 1], [3, 1, 2], [3, 2, 3], [3, 3, 2], [3, 6, 38], [3, 8, 18], [3, 12, 252], [3, 16, 6], [3, 24, 759], [3, 32, 15], [3, 48, 1228], [3, 96, 1000], [3, 34992, 6], [4, 78732, 1], [6, 54, 242], [6, 108, 972], [6, 216, 1944], [6, 243, 8], [6, 432, 1215], [6, 486, 359], [6, 972, 738], [6, 1944, 360], [6, 2916, 2], [6, 8748, 2], [6, 11664, 6], [6, 17496, 9], [6, 34992, 13], [6, 314928, 6], [9, 34992, 12], [9, 69984, 72], [12, 78732, 8], [12, 157464, 9], [18, 314928, 12]], 'center_label': '3.1', 'center_order': 3, 'central_product': None, 'central_quotient': '5668704.ez', 'commutator_count': None, 'commutator_label': None, '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', '3.1', '3.1'], 'composition_length': 17, 'conjugacy_classes_known': False, 'counter': 77, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': None, 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 54, 1, 1], [2, 243, 1, 1], [2, 486, 1, 1], [2, 2916, 1, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [3, 3, 2, 1], [3, 6, 1, 4], [3, 6, 2, 17], [3, 8, 2, 9], [3, 12, 1, 2], [3, 12, 2, 125], [3, 16, 2, 3], [3, 24, 1, 15], [3, 24, 2, 372], [3, 32, 1, 3], [3, 32, 2, 6], [3, 48, 1, 4], [3, 48, 2, 612], [3, 96, 1, 22], [3, 96, 2, 489], [3, 34992, 2, 3], [4, 78732, 1, 1], [6, 54, 2, 121], [6, 108, 1, 4], [6, 108, 2, 484], [6, 216, 1, 6], [6, 216, 2, 969], [6, 243, 2, 4], [6, 432, 1, 3], [6, 432, 2, 606], [6, 486, 1, 13], [6, 486, 2, 173], [6, 972, 1, 4], [6, 972, 2, 367], [6, 1944, 1, 14], [6, 1944, 2, 173], [6, 2916, 2, 1], [6, 8748, 2, 1], [6, 11664, 2, 3], [6, 17496, 1, 1], [6, 17496, 2, 4], [6, 34992, 1, 1], [6, 34992, 2, 6], [6, 314928, 2, 3], [9, 34992, 2, 6], [9, 69984, 2, 36], [12, 78732, 2, 4], [12, 157464, 1, 1], [12, 157464, 2, 4], [18, 314928, 2, 6]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 36, 'exponents_of_order': [12, 5], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': None, 'familial': False, 'frattini_label': '27.5', 'frattini_quotient': '629856.b', 'hash': 5214400308694806330, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': None, 'inner_gens': None, 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': 5668704, 'inner_split': None, 'inner_tex': 'C_3^6.C_6^4:C_6', 'inner_used': None, 'irrC_degree': None, 'irrQ_degree': None, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': None, 'label': '17006112.cy', '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': 'C3^7.C6^4:C6', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 2, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 3, 0, 2, 1, 0, 0, 3, 0, 3, 2, 0, 0, 2, 0, 3, 3, 0, 1, 1, 0, 2, 3, 0, 1, 0, 1, 1, 5, 0, 1, 1, 0, 5, 0, 4, 1, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': None, 'number_characteristic_subgroups': 57, 'number_conjugacy_classes': 9324, 'number_divisions': 4714, 'number_normal_subgroups': 66, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 17006112, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 3699], [3, 387098], [4, 78732], [6, 5251662], [9, 5458752], [12, 2047032], [18, 3779136]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': False, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': None, 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 1296, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': None, 'pc_rank': None, 'perfect': False, 'permutation_degree': None, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'PC': {'code': '20934044371977258267572428075888154910475715269151764316479329952595071572454455816714393657668643709423987687121905752523463982476866577196234614650905722137337508086907423878371557814414863455481835207151613842065386118632029029753744343676781226432597466056755350723458958086222656155181761470818385659712722299628939582287089254608511646187817749751131425724514009125995379260908668027379126908319583882088227502805225614988940767038358672591235402403990508931678208494628394152635427718504982852601660090128464467090289117186841694181049190103385255344855560511034168898844093355421589467290510280958585599', 'gens': [1, 3, 5, 7, 9, 11, 12, 13, 14, 15, 16, 17], 'pres': [17, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 34, 287444178, 649696448, 251446339, 138, 767948211, 259096748, 1230402034, 698256066, 22742468, 20199370, 242, 1270689485, 104567566, 108927471, 974178036, 729055784, 206818708, 16914020, 21141988, 346, 1006560487, 731992008, 196359017, 32726571, 744056450, 365378254, 84503778, 193149095, 7309192, 19371, 8885432, 6094, 450, 302450409, 1096143026, 181617163, 4198397, 5687631, 1198188298, 971144883, 2390, 33958667, 1711683244, 509996781, 34301455, 6073601, 1192323, 618120216, 1305199067, 86497678, 18985748, 12681978, 1308910, 652898749, 290927898, 515725103, 76994985, 13349059, 1435289, 1915039814, 524152021, 132522528, 92959822, 15541856, 127140, 425857359, 1987188512, 198464305, 95237075, 17136117, 1996087, 2645182336, 314620461, 70039778, 84112956, 1602334, 2960090]}, 'Perm': {'d': 36, 'gens': [127943524472594795756000759478425799594243, 74157170456011021753596671170283600983805]}}, 'schur_multiplier': [3, 6, 6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 6], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 48, 'supersolvable': False, 'sylow_subgroups_known': False, 'tex_name': 'C_3^7.C_6^4:C_6', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}
• ['group_order', 'group_counter'] [17006112, 77] does not appear in gps_conj_classes
• group 17006112.cy does not appear in gps_qchar
• group 17006112.cy 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: 156751927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 17006112, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '17006112.cy.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.A', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '17006112.cy', 'subgroup_hash': None, 'subgroup_order': 17006112, 'subgroup_tex': 'C_3^7.C_6^4:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 156752038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8503056, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8503056, 'subgroup_tex': 'C_3^9.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156752149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5668704, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.3._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5668704.ez', 'subgroup_hash': None, 'subgroup_order': 5668704, 'subgroup_tex': 'C_3^6.C_6^4:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 156752260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5668704, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.3._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5668704.ez', 'subgroup_hash': None, 'subgroup_order': 5668704, 'subgroup_tex': 'C_3^6.C_6^4:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 156752371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5668704, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.3._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5668704, 'subgroup_tex': 'C_3^8.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5668704, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.3._.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5668704.ez', 'subgroup_hash': None, 'subgroup_order': 5668704, 'subgroup_tex': 'C_3^6.C_6^4:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 156752593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2834352, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.3._.E', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '5668704.fb', 'subgroup_hash': None, 'subgroup_order': 5668704, 'subgroup_tex': 'C_3^6.C_6^4:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 156752704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1417176, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.4.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '4251528.bl', 'subgroup_hash': None, 'subgroup_order': 4251528, 'subgroup_tex': 'C_3^8.S_3\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2834352, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.6._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2834352, 'subgroup_tex': 'C_3^8.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156751928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2834352, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.6._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2834352, 'subgroup_tex': 'C_3^8.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156751939
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2834352, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.6._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2834352, 'subgroup_tex': 'C_3^{11}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156751950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2834352, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.6._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2834352, 'subgroup_tex': 'C_3^8.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156751961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2834352, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.6._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2834352, 'subgroup_tex': 'C_3^8.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156751972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 944784, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.6._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 2834352, 'subgroup_tex': 'C_3^8.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156751983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 944784, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.6._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 2834352, 'subgroup_tex': 'C_3^8.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156751994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 944784, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.6._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 2834352, 'subgroup_tex': 'C_3^8.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156752005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 944784, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.6._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 2834352, 'subgroup_tex': 'C_3^8.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156752016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 708588, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.6._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 2834352, 'subgroup_tex': 'C_3^8.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1417176, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.6._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 2834352, 'subgroup_tex': 'C_3^9.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 708588, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 2125764, 'subgroup_tex': 'C_3^9.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 2125764, 'subgroup_tex': 'C_3^8.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.8._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 2125764, 'subgroup_tex': 'C_3^9.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1889568, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.9._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '9.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '9.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 9, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^7.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 629856, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.9._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '1889568.ij', 'subgroup_hash': None, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^9.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 156752094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 944784, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.9._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^7.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 629856, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.9._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^7.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 944784, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.9._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '1889568.im', 'subgroup_hash': None, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^2\\wr C_2^2.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 156752127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 629856, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.9._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '1889568.ij', 'subgroup_hash': None, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^9.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 156752138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 944784, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.9._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '1889568.im', 'subgroup_hash': None, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^2\\wr C_2^2.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 156752150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 629856, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.9._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '1889568.ij', 'subgroup_hash': None, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^9.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 156752161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 944784, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.9._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '1889568.im', 'subgroup_hash': None, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^2\\wr C_2^2.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 156752172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.9._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^7.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.9._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^7.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.9._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^7.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.9._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^7.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.9._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '1889568.ik', 'subgroup_hash': None, 'subgroup_order': 1889568, 'subgroup_tex': 'C_3^2\\wr C_2^2.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 156752227
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1417176, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.12._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1417176, 'subgroup_tex': 'C_3^{11}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752238
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 708588, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.12._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 1417176, 'subgroup_tex': 'C_3^8.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752249
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 708588, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.12._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 1417176, 'subgroup_tex': 'C_3^{11}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 472392, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.12._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '1417176.cs', 'subgroup_hash': None, 'subgroup_order': 1417176, 'subgroup_tex': 'C_3^7.S_3\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 472392, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.12._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '1417176.cs', 'subgroup_hash': None, 'subgroup_order': 1417176, 'subgroup_tex': 'C_3^7.S_3\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 472392, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.12._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '1417176.cs', 'subgroup_hash': None, 'subgroup_order': 1417176, 'subgroup_tex': 'C_3^7.S_3\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.12._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 1417176, 'subgroup_tex': 'C_3^8.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752305
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.12._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 1417176, 'subgroup_tex': 'C_3^8.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752316
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.12._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 1417176, 'subgroup_tex': 'C_3^8.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.12._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 1417176, 'subgroup_tex': 'C_3^9.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 236196, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.12._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '1417176.cu', 'subgroup_hash': None, 'subgroup_order': 1417176, 'subgroup_tex': 'C_3^7.S_3\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 1062882, 'subgroup_tex': 'C_3^{11}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752360
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 944784, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752372
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 944784, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 944784, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156752394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 944784, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156752405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 944784, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156752416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156752427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156752438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156752449
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 157464, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752471
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752494
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752505
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752527
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156752560
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 236196, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 472392, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^8.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^8.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^8.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 157464, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^9.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 156752638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 157464, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^9.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 156752649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752660
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752682
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752693
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752705
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752727
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752738
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752749
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752753
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_2^4.C_3^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_2^4.C_3^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_2^4.C_3^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_2^4.C_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 156752759
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '944784.gr', 'subgroup_hash': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156751929
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156751930
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156751931
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156751932
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156751933
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156751934
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156751935
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156751936
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156751937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^8.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^8.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^8.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^8.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^8.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 236196, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^8.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^8.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^8.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^8.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 236196, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^8.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751966
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156751967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.18._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 944784, 'subgroup_tex': 'C_3^7.C_6^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156751968
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 708588, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^9.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 156751969
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^9.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 156751970
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^9.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 156751971
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^9.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 156751973
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^9.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 156751974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 236196, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156751975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 236196, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156751976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 236196, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156751977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 236196, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156751978
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^9.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 156751979
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^9.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 156751980
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^9.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 156751981
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^9.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 156751982
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^{11}.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 156751984
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^9.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 156751985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156751986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156751988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156751990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156751991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 236196, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156751992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156751993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156751999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^7.C_6^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.24._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 708588, 'subgroup_tex': 'C_3^8.C_6^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 156752046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 629856, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '27.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '27.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 27, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^9.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 314928, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 34992, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '629856.b', 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^8.C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '629856.gq', 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^8.C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '629856.b', 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^8.C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '629856.gq', 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^8.C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '629856.b', 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^8.C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '629856.gq', 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^8.C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^6.C_6^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.27._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '629856.go', 'subgroup_hash': None, 'subgroup_order': 629856, 'subgroup_tex': 'C_3^8.C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 156752081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '17006112.cy.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_order': 531441, 'subgroup_tex': 'C_3^{11}.C_3', 'supersolvable': True, 'sylow': 3}
  • id: 156752082
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 472392, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752084
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752085
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752086
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752087
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752088
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752089
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752090
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752091
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752092
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752093
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752095
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752096
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752097
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752098
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752099
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 236196, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752100
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752101
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 236196, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752102
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752103
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 236196, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752104
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 157464, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752106
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 236196, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752107
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752108
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^9.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752110
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752111
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752112
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752113
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752114
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752115
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752117
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752118
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752119
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752120
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752121
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752122
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752123
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752124
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752125
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752126
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752128
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752129
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752130
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752131
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752132
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752133
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752134
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752135
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752136
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752137
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752139
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752140
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752141
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752142
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752143
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752144
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752145
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752146
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752147
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752148
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752151
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752152
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752153
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752154
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752155
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752156
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752157
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752158
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752159
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752160
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2916, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752162
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752163
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752164
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752165
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752166
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752167
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752168
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752169
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752170
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752171
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752173
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752174
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752175
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752176
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752177
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752178
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752179
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752180
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752181
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752182
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752184
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752185
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752186
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752187
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752188
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752189
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752190
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752191
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752192
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752193
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752195
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752196
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752197
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752198
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752199
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752200
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752201
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752202
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752203
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752204
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752206
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752207
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752208
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752209
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752210
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752211
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752212
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752213
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752214
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752215
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752217
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752218
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752219
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752220
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752221
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752222
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752223
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752224
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752225
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752226
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752228
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752229
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752230
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752231
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752232
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752233
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752234
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752235
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752236
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752237
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752239
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752240
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752241
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752242
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752243
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752244
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752245
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752246
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752247
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752248
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752250
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752251
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752252
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752253
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752254
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752255
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752256
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752257
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752258
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752259
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752262
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752263
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752264
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752265
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752266
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752267
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752268
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752269
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752270
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752271
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752273
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752274
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752275
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752276
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752277
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752278
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752279
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752280
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752281
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752282
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752284
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.GZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752285
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752286
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752287
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752288
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752289
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752290
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752291
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752292
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752293
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752295
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752296
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752297
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752298
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752299
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752300
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752301
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752302
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752303
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752304
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752306
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752307
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752308
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752309
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752310
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752311
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752312
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.HZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752313
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752314
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752315
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752317
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ID', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752318
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752319
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752320
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752321
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752322
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.II', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752323
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752324
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752325
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752326
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752328
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752329
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752330
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752331
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752332
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752333
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752334
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752335
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752336
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752337
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752339
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752340
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752341
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.IZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752342
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752343
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752344
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752345
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752346
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752347
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752348
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752350
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752351
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752352
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752353
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752354
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752355
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752356
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752357
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752358
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752359
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752361
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752362
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752363
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752364
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752365
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752366
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752367
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752368
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752369
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.JZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.JZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752370
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752373
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752374
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752375
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752376
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752377
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752378
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752379
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752380
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752381
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752382
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752384
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752385
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752386
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752387
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752388
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752389
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752390
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752391
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752392
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752393
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752395
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752396
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752397
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752398
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752399
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.KZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.KZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752400
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752401
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752402
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752403
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752404
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752406
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752407
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752408
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752409
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752410
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752411
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752412
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752413
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752414
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752415
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752417
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752418
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2187, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752419
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752420
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752421
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752422
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752423
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752424
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752425
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752426
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752428
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.LZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.LZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752429
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 729, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752430
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752431
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.ME', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ME', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752434
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752435
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752436
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 8748, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752437
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752439
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.ML', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ML', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752446
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752447
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752448
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752450
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752451
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752452
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752453
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752454
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752455
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752456
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 236196, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.MZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.MZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752457
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752458
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752459
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752461
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.ND', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ND', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752462
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752463
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752464
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752465
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752466
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752467
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752468
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752469
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752470
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752472
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752473
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752474
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752475
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752476
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752477
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752478
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752479
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752480
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752481
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752484
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752485
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752486
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.NZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.NZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752487
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752488
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752489
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752490
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752491
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752492
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752493
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752495
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752496
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752497
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752498
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752499
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752500
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752501
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.ON', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ON', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752502
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752503
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752504
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752506
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752507
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752508
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752509
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752510
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752511
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752512
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752513
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752514
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.OZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.OZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752515
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752517
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752518
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752519
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752520
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752521
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752522
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752523
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752524
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752525
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752526
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752528
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752529
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752530
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752531
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752532
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752533
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752534
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752535
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752536
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752537
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752539
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752540
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752541
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752542
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752543
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.PZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.PZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752544
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752545
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752546
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752547
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752548
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752550
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752551
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752552
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752553
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752554
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752555
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752556
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752557
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752558
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752559
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752561
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752562
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752563
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752564
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752565
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752566
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752567
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752568
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752569
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752570
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752572
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.QZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.QZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752573
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752574
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752575
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752576
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752577
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RE', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752578
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752579
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752580
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752581
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752583
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752584
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752585
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752586
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752587
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752588
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752589
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752590
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752591
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752592
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752595
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752596
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752601
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.RZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.RZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752602
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752603
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 157464, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '472392.ck', 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.(S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 156752606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '472392.cr', 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 156752607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 157464, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '472392.ck', 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.(S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 156752608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '472392.cr', 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 156752609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 157464, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '472392.ck', 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.(S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 156752610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '472392.cr', 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 156752611
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752612
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.ST', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ST', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752624
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752625
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752630
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.SZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.SZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752631
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752632
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752633
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752634
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 19683, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752647
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752648
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6561, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 156752655
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3\\times C_3^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752656
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752657
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752658
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.TZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.TZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752659
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^{10}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752661
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78732, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '472392.cp', 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^8.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 156752663
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752668
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 27, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.36._.UR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.UR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 472392, 'subgroup_tex': 'C_3^7.C_6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 156752679
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{11}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 156752680
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{11}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 156752681
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{11}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 156752683
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 177147, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{11}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 156752684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 243, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 59049, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.48._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 354294, 'subgroup_tex': 'C_3^{10}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752701
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 314928, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.54._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '54.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '54.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_3^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 314928, 'subgroup_tex': 'C_3^9.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752702
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 314928, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.54._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '54.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '54.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 314928, 'subgroup_tex': 'C_3^9.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752703
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 314928, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.54._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '54.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '54.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 314928, 'subgroup_tex': 'C_3^9.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752706
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 236196, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.72._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.47', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 236196, 'subgroup_tex': 'C_3^8.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 156752707
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 236196, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.72._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.44', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_3\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 236196, 'subgroup_tex': 'C_3^8.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 156752708
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 177147, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.96._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.70', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 177147, 'subgroup_tex': 'C_3^{11}', 'supersolvable': True, 'sylow': 0}
  • id: 156752709
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 157464, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.108._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '108.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '108.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 108, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^2:A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 157464, 'subgroup_tex': 'C_3^9.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752710
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.162._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '162.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '162.34', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 162, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^3:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752711
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.162._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '162.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '162.35', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 162, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times \\He_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752712
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.162._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '162.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '162.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 162, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^3:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752713
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 78732, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.216._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '216.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '216.99', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6^2:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 78732, 'subgroup_tex': 'C_3^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 156752714
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 78732, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.216._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '216.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '216.166', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6^2:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 78732, 'subgroup_tex': 'C_3^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 156752715
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 78732, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.216._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '216.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '216.107', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6^2:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 78732, 'subgroup_tex': 'C_3^9.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 156752717
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 59049, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.288._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '288.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '288.411', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_2\\times D_6):A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 59049, 'subgroup_tex': 'C_3^{10}', 'supersolvable': True, 'sylow': 0}
  • id: 156752718
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 59049, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.288._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '288.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '288.634', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3\\times C_2^3:A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 59049, 'subgroup_tex': 'C_3^{10}', 'supersolvable': True, 'sylow': 0}
  • id: 156752719
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 34992, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.486._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '486.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '486.116', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 486, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^4:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752720
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 34992, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.486._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '486.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '486.102', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 486, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^4:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 34992, 'subgroup_tex': 'C_3^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752721
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26244, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.648._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '648.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '648.294', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 648, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_3\\times C_6^2):C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26244.mk', 'subgroup_hash': None, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 156752722
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26244, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.648._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '648.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '648.587', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 648, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_3\\times C_3^2:A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26244.mk', 'subgroup_hash': None, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 156752723
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26244, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.648._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '648.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '648.586', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 648, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3\\times C_6^2:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26244.mk', 'subgroup_hash': None, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 156752724
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 19683, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.864._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '864.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '864.736', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 864, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_2^2\\times C_6^2):C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19683, 'subgroup_tex': 'C_3^9', 'supersolvable': True, 'sylow': 0}
  • id: 156752725
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 19683, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.864._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '864.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '864.1315', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 864, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_2\\times C_6^2):A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19683, 'subgroup_tex': 'C_3^9', 'supersolvable': True, 'sylow': 0}
  • id: 156752726
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 19683, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.864._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '864.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '864.3023', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 864, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_6\\times D_6):A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19683, 'subgroup_tex': 'C_3^9', 'supersolvable': True, 'sylow': 0}
  • id: 156752728
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 11664, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.1458._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1458.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1458.1108', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1458, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^5:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752729
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8748, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.1944._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1944.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1944.2608', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1944, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^3:(C_6\\times A_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8748.na', 'subgroup_hash': None, 'subgroup_order': 8748, 'subgroup_tex': 'C_3^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 156752730
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 8748, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.1944._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1944.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1944.2611', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1944, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_3^2\\times C_6^2):C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8748.na', 'subgroup_hash': None, 'subgroup_order': 8748, 'subgroup_tex': 'C_3^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 156752731
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6561, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.2592._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2592.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2592.ga', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2592, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_2\\times C_6^3):C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6561.1396077', 'subgroup_hash': None, 'subgroup_order': 6561, 'subgroup_tex': 'C_3^8', 'supersolvable': True, 'sylow': 0}
  • id: 156752732
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6561, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.2592._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2592.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2592.gc', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2592, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_2\\times C_6^3):C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6561.1396077', 'subgroup_hash': None, 'subgroup_order': 6561, 'subgroup_tex': 'C_3^8', 'supersolvable': True, 'sylow': 0}
  • id: 156752733
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6561, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.2592._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2592.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2592.go', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 2592, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_2\\times C_6^3):C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6561.1396077', 'subgroup_hash': None, 'subgroup_order': 6561, 'subgroup_tex': 'C_3^8', 'supersolvable': True, 'sylow': 0}
  • id: 156752734
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2916, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.5832._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5832.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5832.fb', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 5832, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_3^3\\times C_6^2):C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2916.ld', 'subgroup_hash': None, 'subgroup_order': 2916, 'subgroup_tex': 'C_3^5:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 156752735
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2187, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.7776._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '7776.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '7776.de', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 7776, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6^4:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2187.9310', 'subgroup_hash': None, 'subgroup_order': 2187, 'subgroup_tex': 'C_3^7', 'supersolvable': True, 'sylow': 0}
  • id: 156752736
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2187, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.7776._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '7776.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '7776.di', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 7776, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6^4:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2187.9310', 'subgroup_hash': None, 'subgroup_order': 2187, 'subgroup_tex': 'C_3^7', 'supersolvable': True, 'sylow': 0}
  • id: 156752737
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 729, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.23328._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '23328.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '23328.ec', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 23328, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6^4.(C_3\\times C_6)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.504', 'subgroup_hash': None, 'subgroup_order': 729, 'subgroup_tex': 'C_3^6', 'supersolvable': True, 'sylow': 0}
  • id: 156752739
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 243, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.69984._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '69984.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '69984.h', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 69984, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^6:C_2^3:A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '243.67', 'subgroup_hash': None, 'subgroup_order': 243, 'subgroup_tex': 'C_3^5', 'supersolvable': True, 'sylow': 0}
  • id: 156752740
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 81, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.209952._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '209952.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '209952.x', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 209952, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^7.C_2^3:A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.15', 'subgroup_hash': None, 'subgroup_order': 81, 'subgroup_tex': 'C_3^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752741
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 81, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.209952._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '209952.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '209952.y', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 209952, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^7.C_2^3:A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.15', 'subgroup_hash': None, 'subgroup_order': 81, 'subgroup_tex': 'C_3^4', 'supersolvable': True, 'sylow': 0}
  • id: 156752742
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 27, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.629856._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '629856.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '629856.b', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 629856, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^8.C_2^3:A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.5', 'subgroup_hash': None, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752743
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 27, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.629856._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '629856.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '629856.gq', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 629856, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^8.C_2^3:A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.5', 'subgroup_hash': None, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752744
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 27, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.629856._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '629856.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '629856.go', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 629856, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^8.C_2^3:A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.5', 'subgroup_hash': None, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 156752745
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 9, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.1889568._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1889568.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1889568.im', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1889568, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^2\\wr C_2^2.(C_6\\times A_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': None, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 156752746
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 9, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.1889568._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1889568.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1889568.ij', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, '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.C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': None, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 156752747
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 9, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '17006112.cy.1889568._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1889568.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1889568.ik', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1889568, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^2\\wr C_2^2.(C_6\\times A_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': None, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 156752748
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3, 'counter': 839, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17006112.cy.5668704._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '5668704.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5668704.fb', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 5668704, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^6.C_6^4:C_6', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': None, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 156752750
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3, 'counter': 840, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '17006112.cy.5668704._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '5668704.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5668704.ez', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 5668704, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^6.C_6^4:C_6', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '3.1', 'subgroup_hash': None, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 156752751
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '17006112.cy', 'ambient_counter': 77, 'ambient_order': 17006112, 'ambient_tex': 'C_3^7.C_6^4:C_6', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 841, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '17006112.cy.17006112.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '17006112.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '17006112.cy', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 17006112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^7.C_6^4:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': None, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 156751927
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 74157170456011021753596671170283600983805, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 9148311951999292012883781484804, 147, 376784654400003, 418829647187403284152400784, 814856786616884339039057432850803907, 255592376085790399945246855700451432721323], 'label': '17006112.cy.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751928
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 9148311951999292012883781484804, 418829647187403284152400784, 376784654400003, 814856786616884339039057432850803907, 255592376085790399945246855700451432721228], 'label': '17006112.cy.6._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.B', 'projective_image': None, '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: 156751929
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 26976017843272882218484, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 51704033477769953325360, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 361653651526300294518413550921071466496053, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751930
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 93405312004, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432887091764], 'label': '17006112.cy.18._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751931
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432887091764, 174356582640], 'label': '17006112.cy.18._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751932
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 20666295932772708688980490078504988736003, 9148311951999292012883825030640, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 26976018178130889450244, 361653651526300294518413550921071466496053, 147, 418829647187403284152400784, 814856786616884339039057432887091764], 'label': '17006112.cy.18._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751933
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 20666295932772708688980490078504988736003, 9148311951999292012883825030640, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 26976018178130889450244, 93405312004, 361653651526300294518413550921071466496053, 418829647187403284152400784, 814856786616884339039057432887091764], 'label': '17006112.cy.18._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751934
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 20666295932772708688980490078504988736003, 9148311951999292012883825030640, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 26976018178130889450244, 361653651526300294518413550921071466496053, 418829647187403284152400784, 814856786616884339039057432887091764, 174356582640], 'label': '17006112.cy.18._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751935
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 814856786616884339039057432930637600, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 51704033477769953325360, 51704034189319209645600, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 361653651526300294518413550921071466496053, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751936
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 814856786616884339039057432930637600, 17683523987479403909180680903107, 51704034189319209645600, 376784654400003, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 361653651526300294518413550921071466496053, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.18._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751937
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 351025270743189359898476034722109140780610, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 26976018178130889450244, 147, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.18._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751938
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 351025270743189359846772001620856043637810, 26976017843272882218484, 93405312004, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751939
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 361653651526300294518413550921071466496053, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.6._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.C', 'projective_image': None, '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: 156751940
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 26976017843272882218484, 174356582640, 1341127607522338287723334178533985280, 51704033477769953325360, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751941
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 271371359918493563542057094602752000, 17683524014455421752360034304148, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 26976018178130889450244, 147, 418829647187403284152400784, 814856786616884339039057432887091764], 'label': '17006112.cy.18._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751942
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 351025270743189359846772001620856043637810, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751943
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 376784654400003, 418829647187403284152400784, 174356582640, 814856786616884339039057432930637600, 351025270743189359846772001620856043637810], 'label': '17006112.cy.18._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751944
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 51704033477769953325360, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 93405312004, 418829647187403284152400784, 814856786616884339039057432930637600], 'label': '17006112.cy.18._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751945
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 174356582640, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 17683523987479403909261632173364, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751946
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784, 814856786616884339039057432850803907], 'label': '17006112.cy.18._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751947
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 17683523987479403909180680903107, 814856786616884339039057432850803907, 711468305049744, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 1341127607522338287723710695303111683, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649706105304630586130656050, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751948
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [201806276995194979922524775748466045969323, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 376784654400003, 418829647187403284152400784, 174356582640, 814856786616884339039057432930637600, 351025270743189359846772001620856043637810], 'label': '17006112.cy.18._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751949
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 51704033477769953325360, 201806276995194979922524775748466045969323, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 93405312004, 418829647187403284152400784, 814856786616884339039057432930637600], 'label': '17006112.cy.18._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751950
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 9148311951999292012883781484804, 418829647187403284152400784, 376784654400003, 814856786616884339039057432850803907, 255592376085790399945246855700451432721323], 'label': '17006112.cy.6._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.D', 'projective_image': None, '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}
  • id: 156751951
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [201806276995194979922524775748466045969323, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 371691566675961649706105304295902400137570, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 26976018178130889450244, 147, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432930637600], 'label': '17006112.cy.18._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751952
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 814856787423467258981011877238589584, 93405312243, 201806276995194979922524775748466045969323, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 51704034189238258375104, 376784654400003, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.18._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751953
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [51704033477769953325360, 93405312243, 201806276995194979922524775748466045969323, 814856787423467258981011877238589584, 271371359918493563542057094602752000, 371691566675961649733081322097248714975954, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.18._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751954
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 814856787423467258981011877238589584, 93405312243, 201806276995194979922524775748466045969323, 271371359918493563542057094602752000, 351025270743189359898476034722109140780610, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 26976018178130889450244, 147, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.18._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751955
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 26976017843272882218484, 93405312004, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 201806276995194979922524775748466045969323, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752734
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [371690751828324199777537948441835603932773, 174436416000, 271371359918493563542057094602752000, 45600, 526270820517725411750251243876461600, 418829647187403284152400784, 1341127607134558036640059528933985424, 20666295932772708688980490078504988736003], 'label': '17006112.cy.5832._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5832.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5832._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751956
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 1341127607522338287723334178533985280, 51704033477769953325360, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 201806276995194979922524775748466045969323, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751957
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [26976017843272882218484, 147, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 201806276995194979922524775748466045969323, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.18._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751958
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 201806276995194979922524775748466045969323, 17683523987479403909261632173364, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751959
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 814856786616884339039057432930637600, 17683523987479403909180680903107, 51704034189319209645600, 147, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751960
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 51704034189238258375104, 376784654400003, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.18._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751961
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9148311951999292012883745196947, 93405312004, 814856786616884339039057432850803907, 351025270760874545447899280973823795145013, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 255592104732115230876465040693497960721324, 17683523987479403909261632173364, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.6._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.E', 'projective_image': None, '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: 156751962
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [51704033477769953325360, 93405312243, 814856787423467258981011877238589584, 271371359918493563542057094602752000, 371691566675961649733081322097248714975954, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524039183438098406477968784], 'label': '17006112.cy.18._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751963
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 201806276995194979922524775748466045969323, 17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 17683523987479404285697450029508, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432850803907, 174356582640, 1341127607522338287723334178454116403], 'label': '17006112.cy.18._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751964
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [201806276995194979922524775748466045969323, 17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784, 814856786616884339039057432850803907], 'label': '17006112.cy.18._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751965
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [17683523987479403909180680903107, 814856786616884339039057432850803907, 711468305049744, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 1341127607522338287723710695303111683, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649706105304630586130656050, 201806276995194979922524775748466045969323, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751966
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 526270820936555061492913011470400003, 271371359918468835525711316044486964, 526279359471739157305883675051884804, 814856786616884339039057432850803907, 147, 45600, 20666295932772708688980490078504988736003, 418829647187403284152400784, 361653651526300294518413550921071466496053, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751967
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 10629721893032883680254943484291170849284, 20666295932772708662004473323042824237360, 20666567304131401718270558043274317888003, 10628380765426555705140557012818059264000, 147, 45600, 361653651508615108917286271568022683884850, 418829647187403284152400784, 201806276995194979922524775748466045969323, 271371359530688582131179839664237600, 271371359918493563542057269039168000, 10628380765426555705140556636382241408240], 'label': '17006112.cy.18._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751968
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 361652836651831008650364945351627825544773, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.A', 'projective_image': None, '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': None}
  • id: 156751969
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [17683523987479403909180680903107, 526270820936528093035959162297123987, 376784654400003, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 814865932412218940850440826013831104, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.B', 'projective_image': None, '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': None}
  • id: 156751970
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 361653396600618072212665743354116790069574, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751971
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751972
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 351025270760874545447899280973823795145013, 1341127607522338287723334178490359044, 147, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907, 255592376085790399945246855700451432721323], 'label': '17006112.cy.6._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751973
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751974
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 255592376085790399945246855700451432721228, 376784654400003, 361652836651831008650364945351627825544773, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751975
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 148609565505906098603225038742143866481440, 376784654400003, 361652836651831008650364945351627825544773, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751976
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 361652836651831008650364945351627825544773, 255592376085790399945246855700451432721323, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751977
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784, 255592104732115230876465040693497960721324], 'label': '17006112.cy.24._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751978
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 201806276995194561171555084742412360631868, 361652836651831008650364945351627825544773, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751979
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751980
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 526270820936528093035959162297123987, 376784654400003, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751981
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341136143541060098156150413495028484, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751982
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 361652836651831008650364945351627825544773, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 180227680977656464074076472697120761013361, 174436416000], 'label': '17006112.cy.24._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751983
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 351025270760874545447899280973823795145013, 1341127607522338287723334178490359044, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907, 174356582640, 255592376085790399945246855700451432721323], 'label': '17006112.cy.6._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751984
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 814865932412218940850440826013831104, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751985
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909180680903107, 255592376085790399945246855700451432721228, 376784654400003, 361653396600618072212665743354116790069574, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751986
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909180680903107, 526270820936528093035959162297123987, 376784654400003, 255592376085790399945246855700451432721323, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 814865932412218940850440826013831104, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751987
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 361653396600618072212665743354116790069574, 255592376085790399945246855700451432721323, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751988
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909180680903107, 526270820936528093035959162297123987, 255592376085790399945246855700451432721228, 376784654400003, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 814865932412218940850440826013831104, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751989
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 1341127607522338287723334178490359044, 147, 418829647187403284152400784, 255592376085790399945246855700451432721323], 'label': '17006112.cy.24._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751990
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 1341127607522338287723334178490359044, 418829647187403284152400784, 174356582640, 255592376085790399945246855700451432721323], 'label': '17006112.cy.24._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751991
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784, 255592376085790399945246855700451432721323], 'label': '17006112.cy.24._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751992
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 1341127607522338287723334178490359044, 418829647187403284152400784, 174356582640, 255592104732115230876465040693497960721324], 'label': '17006112.cy.24._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751993
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 814865932412218940850440732608519204, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 147, 418829647187403284152400784, 255592376085790399945246855700451432721323, 526270820936528093035959068891857344], 'label': '17006112.cy.24._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751994
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 351025270760874545447899280973823795145013, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907, 255592376085790399945246855700451432721323], 'label': '17006112.cy.6._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751995
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 814865932412218940850440732608519204, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 418829647187403284152400784, 174356582640, 255592376085790399945246855700451432721323, 526270820936528093035959068891857344], 'label': '17006112.cy.24._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751996
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 814865932412218940850440732608519204, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 93405312004, 418829647187403284152400784, 255592376085790399945246855700451432721323, 526270820936528093035959068891857344], 'label': '17006112.cy.24._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751997
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 814865932412218940850440732608519204, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 255592630993789486043776458404171880721320, 20666295932772708688980490078504988736003, 93405312004, 418829647187403284152400784, 526270820936528093035959068891857344], 'label': '17006112.cy.24._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751998
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 814865932412218940850440732608519204, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 255592630993789486043776458404171880721320, 20666295932772708688980490078504988736003, 147, 418829647187403284152400784, 526270820936528093035959068891857344], 'label': '17006112.cy.24._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156751999
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 814865932412218940850440732608519204, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 255592630993789486043776458404171880721320, 20666295932772708688980490078504988736003, 418829647187403284152400784, 174356582640, 526270820936528093035959068891857344], 'label': '17006112.cy.24._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752000
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [174356582640, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 255592104732115230876465040693497960721324, 17683523987479403909261632173364, 814865932412218940850440732608519204, 526270820936528093035959068891857344, 526270820517725411750251243876461600, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.24._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752001
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [93405312004, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 255592104732115230876465040693497960721324, 17683523987479403909261632173364, 814865932412218940850440732608519204, 526270820936528093035959068891857344, 526270820517725411750251243876461600, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.24._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752002
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 255592104732115230876465040693497960721324, 17683523987479403909261632173364, 814865932412218940850440732608519204, 526270820936528093035959068891857344, 526270820517725411750251243876461600, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.24._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752003
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 20667110798705089883253252401535941191107, 51704034189238258374964, 45600, 20666295932772708688980490078330632153844, 526270820936555061492578246832192000, 20666567304131401718270558043274317888003, 376784654400003, 147, 271371359530688582131179839664237600, 255592376085790399945246855700451432721323, 526270820936528093035959162297123987, 271371359111858937255368053481552784], 'label': '17006112.cy.24._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752004
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 20667110798705089883253252401535941191107, 51704034189238258374964, 45600, 10628380765426555705140556636301290137744, 20666295932772708688980490078330632153844, 526270820936555061492578246832192000, 20666567304131401718270558043274317888003, 376784654400003, 271371359530688582131179839664237600, 255592376085790399945246855700451432721323, 526270820936528093035959162297123987, 271371359111858937255368053481552784], 'label': '17006112.cy.24._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752005
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9148311951999292012883745196947, 174356582640, 814856786616884339039057432850803907, 351025270760874545447899280973823795145013, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 255592104732115230876465040693497960721324, 17683523987479403909261632173364, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.6._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752006
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 20667110798705089883253252401535941191107, 51704034189238258374964, 45600, 20666295932772708688980490078330632153844, 526270820936555061492578246832192000, 20666567304131401718270558043274317888003, 376784654400003, 271371359530688582131179839664237600, 255592376085790399945246855700451432721323, 20666295932772708688980490078504988736148, 526270820936528093035959162297123987, 271371359111858937255368053481552784], 'label': '17006112.cy.24._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752007
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [271371359111858937255368053481552784, 526270820936528093035959162297123987, 20666295950456232676459893987417784365508, 376784654400003, 20666567304131401718270558043274317888003, 20667110798705089883253252401535941191107, 51704034189238258374964, 45600, 20666295932772708688980490078504988736148, 271371359530688582131179839664237600, 265630291253137747343964159106171423441324, 20666295932772708688980490078330632153844, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752008
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [271371359111858937255368053481552784, 526270820936528093035959162297123987, 20666295950456232676459893987417784365508, 376784654400003, 20666567304131401718270558043274317888003, 20667110798705089883253252401535941191107, 147, 51704034189238258374964, 45600, 271371359530688582131179839664237600, 265630291253137747343964159106171423441324, 20666295932772708688980490078330632153844, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752009
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [271371359111858937255368053481552784, 526270820936528093035959162297123987, 20666295950456232676459893987417784365508, 376784654400003, 20666567304131401718270558043274317888003, 20667110798705089883253252401535941191107, 51704034189238258374964, 45600, 10628380765426555705140556636301290137744, 271371359530688582131179839664237600, 265630291253137747343964159106171423441324, 20666295932772708688980490078330632153844, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752010
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [271371359111858937255368053481552784, 526270820936528093035959162297123987, 20666295950456232676459893987417784365508, 376784654400003, 20666567304131401718270558043274317888003, 20667110798705089883253252401535941191107, 51704034189238258374964, 45600, 10628380765426555705140556636301290137744, 276258672018563108582523312301092903198120, 271371359530688582131179839664237600, 20666295932772708688980490078330632153844, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752011
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [271371359111858937255368053481552784, 526270820936528093035959162297123987, 20666295950456232676459893987417784365508, 376784654400003, 20666567304131401718270558043274317888003, 20667110798705089883253252401535941191107, 51704034189238258374964, 45600, 20666295932772708688980490078504988736148, 276258672018563108582523312301092903198120, 271371359530688582131179839664237600, 20666295932772708688980490078330632153844, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752012
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [271371359111858937255368053481552784, 526270820936528093035959162297123987, 20666295950456232676459893987417784365508, 376784654400003, 20666567304131401718270558043274317888003, 20667110798705089883253252401535941191107, 147, 51704034189238258374964, 45600, 276258672018563108582523312301092903198120, 271371359530688582131179839664237600, 20666295932772708688980490078330632153844, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752013
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 271371359111858937255368053481552784, 20666567304131401718270558043274317888003, 147, 20666295932772708688980490455034219161604, 51704034189238258374964, 45600, 10628907036246266847640169447558389962384, 814865932412218940850440826013831104, 276258672018563108582523312301092903198120, 271371359530688582131179839664237600, 93405312243, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752014
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 271371359111858937255368053481552784, 20666567304131401718270558043274317888003, 20666295932772708688980490455034219161604, 51704034189238258374964, 45600, 10628907036246266847640169447558389962384, 10628380765426555705140556636301290137744, 814865932412218940850440826013831104, 276258672018563108582523312301092903198120, 271371359530688582131179839664237600, 93405312243, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752015
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 271371359111858937255368053481552784, 20666567304131401718270558043274317888003, 20666295932772708688980490455034219161604, 51704034189238258374964, 45600, 10628907036246266847640169447558389962384, 20666295932772708688980490078504988736148, 814865932412218940850440826013831104, 276258672018563108582523312301092903198120, 271371359530688582131179839664237600, 93405312243, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752016
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.6._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752017
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 271371359111858937255368053481552784, 20666567304131401718270558043274317888003, 20666295932772708688980490455034219161604, 255592376085790399945246855700451432721323, 51704034189238258374964, 45600, 10628907036246266847640169447558389962384, 20666295932772708688980490078504988736148, 814865932412218940850440826013831104, 271371359530688582131179839664237600, 93405312243, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752018
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 271371359111858937255368053481552784, 20666567304131401718270558043274317888003, 147, 20666295932772708688980490455034219161604, 255592376085790399945246855700451432721323, 51704034189238258374964, 45600, 10628907036246266847640169447558389962384, 814865932412218940850440826013831104, 271371359530688582131179839664237600, 93405312243, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752019
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 271371359111858937255368053481552784, 20666567304131401718270558043274317888003, 20666295932772708688980490455034219161604, 255592376085790399945246855700451432721323, 51704034189238258374964, 45600, 10628907036246266847640169447558389962384, 10628380765426555705140556636301290137744, 814865932412218940850440826013831104, 271371359530688582131179839664237600, 93405312243, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752020
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 271371359111858937255368053481552784, 20666567304131401718270558043274317888003, 20666295932772708688980490455034219161604, 51704034189238258374964, 45600, 10628907036246266847640169447558389962384, 10628380765426555705140556636301290137744, 814865932412218940850440826013831104, 271371359530688582131179839664237600, 265630291253137747343964159106171423441324, 93405312243, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752021
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 271371359111858937255368053481552784, 20666567304131401718270558043274317888003, 20666295932772708688980490455034219161604, 51704034189238258374964, 45600, 10628907036246266847640169447558389962384, 20666295932772708688980490078504988736148, 814865932412218940850440826013831104, 271371359530688582131179839664237600, 265630291253137747343964159106171423441324, 93405312243, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752022
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 271371359111858937255368053481552784, 20666567304131401718270558043274317888003, 147, 20666295932772708688980490455034219161604, 51704034189238258374964, 45600, 10628907036246266847640169447558389962384, 814865932412218940850440826013831104, 271371359530688582131179839664237600, 265630291253137747343964159106171423441324, 93405312243, 526270820936555061492578246832192000], 'label': '17006112.cy.24._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752023
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [51704034189238258374964, 10628380765426555705140556636382241408240, 20666822203593614194653439375427432586388, 10628380765426555705140557012818059264000, 45600, 526270820936555061492578246832192000, 20666567304131401718270558043274317888003, 17683523987479403909180680903107, 147, 271371359530688582131179839664237600, 10629195631357742459807932984789452947908, 271371359111858937255368053481552784, 265630291253137747343964159106171423441324], 'label': '17006112.cy.24._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752024
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [51704034189238258374964, 10628380765426555705140556636382241408240, 20666822203593614194653439375427432586388, 10628380765426555705140557012818059264000, 45600, 10628380765426555705140556636301290137744, 526270820936555061492578246832192000, 20666567304131401718270558043274317888003, 17683523987479403909180680903107, 271371359530688582131179839664237600, 10629195631357742459807932984789452947908, 271371359111858937255368053481552784, 265630291253137747343964159106171423441324], 'label': '17006112.cy.24._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752025
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [51704034189238258374964, 10628380765426555705140556636382241408240, 20666822203593614194653439375427432586388, 10628380765426555705140557012818059264000, 45600, 526270820936555061492578246832192000, 20666567304131401718270558043274317888003, 17683523987479403909180680903107, 271371359530688582131179839664237600, 20666295932772708688980490078504988736148, 10629195631357742459807932984789452947908, 271371359111858937255368053481552784, 265630291253137747343964159106171423441324], 'label': '17006112.cy.24._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752026
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [51704034189238258374964, 10628380765426555705140556636382241408240, 20666822203593614194653439375427432586388, 10628380765426555705140557012818059264000, 45600, 526270820936555061492578246832192000, 20666567304131401718270558043274317888003, 17683523987479403909180680903107, 271371359530688582131179839664237600, 20666295932772708688980490078504988736148, 10629195631357742459807932984789452947908, 271371359111858937255368053481552784, 276258672018563108582523312301092903198120], 'label': '17006112.cy.24._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752027
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 201806276995194979922524775748466045969323, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.6._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752028
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [51704034189238258374964, 10628380765426555705140556636382241408240, 20666822203593614194653439375427432586388, 10628380765426555705140557012818059264000, 45600, 526270820936555061492578246832192000, 20666567304131401718270558043274317888003, 17683523987479403909180680903107, 147, 271371359530688582131179839664237600, 10629195631357742459807932984789452947908, 271371359111858937255368053481552784, 276258672018563108582523312301092903198120], 'label': '17006112.cy.24._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752029
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [51704034189238258374964, 10628380765426555705140556636382241408240, 20666822203593614194653439375427432586388, 10628380765426555705140557012818059264000, 45600, 10628380765426555705140556636301290137744, 526270820936555061492578246832192000, 20666567304131401718270558043274317888003, 17683523987479403909180680903107, 271371359530688582131179839664237600, 10629195631357742459807932984789452947908, 271371359111858937255368053481552784, 276258672018563108582523312301092903198120], 'label': '17006112.cy.24._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752030
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [51704034189238258374964, 10628380765426555705140556636382241408240, 20666822203593614194653439375427432586388, 10628380765426555705140557012818059264000, 45600, 10628380765426555705140556636301290137744, 526270820936555061492578246832192000, 20666567304131401718270558043274317888003, 17683523987479403909180680903107, 271371359530688582131179839664237600, 255592376085790399945246855700451432721323, 10629195631357742459807932984789452947908, 271371359111858937255368053481552784], 'label': '17006112.cy.24._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752031
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [51704034189238258374964, 10628380765426555705140556636382241408240, 20666822203593614194653439375427432586388, 10628380765426555705140557012818059264000, 45600, 526270820936555061492578246832192000, 20666567304131401718270558043274317888003, 17683523987479403909180680903107, 271371359530688582131179839664237600, 255592376085790399945246855700451432721323, 20666295932772708688980490078504988736148, 10629195631357742459807932984789452947908, 271371359111858937255368053481552784], 'label': '17006112.cy.24._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752032
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [51704034189238258374964, 10628380765426555705140556636382241408240, 20666822203593614194653439375427432586388, 10628380765426555705140557012818059264000, 45600, 526270820936555061492578246832192000, 20666567304131401718270558043274317888003, 17683523987479403909180680903107, 147, 271371359530688582131179839664237600, 255592376085790399945246855700451432721323, 10629195631357742459807932984789452947908, 271371359111858937255368053481552784], 'label': '17006112.cy.24._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752033
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 371691311767964613001484776082089875381814, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 147, 418829647187403284152400784, 255592376085790399945246855700451432721323], 'label': '17006112.cy.24._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752034
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 371691311767964613001484776082089875381814, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 418829647187403284152400784, 174356582640, 255592376085790399945246855700451432721323], 'label': '17006112.cy.24._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752035
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 371691311767964613001484776082089875381814, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 93405312004, 418829647187403284152400784, 255592376085790399945246855700451432721323], 'label': '17006112.cy.24._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752036
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 371691311767964613001484776082089875381814, 9146650338351416191748786922480, 255592630993789486043776458404171880721320, 20666295932772708688980490078504988736003, 93405312004, 418829647187403284152400784], 'label': '17006112.cy.24._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752037
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 371691311767964613001484776082089875381814, 9146650338351416191748786922480, 255592630993789486043776458404171880721320, 20666295932772708688980490078504988736003, 147, 418829647187403284152400784], 'label': '17006112.cy.24._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752038
    {'ambient': '17006112.cy', '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': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 9148311951999292012883781484804, 418829647187403284152400784, 147, 376784654400003, 814856786616884339039057432850803907, 255592376085790399945246855700451432721323], 'label': '17006112.cy.2.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752039
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 361652836651831008650364945351627825544773, 147, 255592376085790399945246855700451432721323, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.8._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752040
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 371691311767964613001484776082089875381814, 9146650338351416191748786922480, 255592630993789486043776458404171880721320, 20666295932772708688980490078504988736003, 418829647187403284152400784, 174356582640], 'label': '17006112.cy.24._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752041
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 371691311767964613001484776082089875381814, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 418829647187403284152400784, 174356582640, 255592104732115230876465040693497960721324], 'label': '17006112.cy.24._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752042
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 371691311767964613001484776082089875381814, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 93405312004, 418829647187403284152400784, 255592104732115230876465040693497960721324], 'label': '17006112.cy.24._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752043
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 371691311767964613001484776082089875381814, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 147, 418829647187403284152400784, 255592104732115230876465040693497960721324], 'label': '17006112.cy.24._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752044
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909180680903107, 526270820936528093035959162297123987, 148609565505906098603225038742143866481440, 376784654400003, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 814865932412218940850440826013831104, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752045
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909180680903107, 148609565505906098603225038742143866481440, 376784654400003, 361653396600618072212665743354116790069574, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.24._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752046
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9148311951999292012883745196947, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 191767283839920467461709477991057488680467, 371691566693646835307232583648776789878373, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.27._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.A', 'projective_image': None, '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: 156752047
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [9148311951999292012883745196947, 191767538747919553560241391951685704488467, 814856786616884339039057432850803907, 351025270760874545447899280973823795145013, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.27._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752048
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [9146650365327433658492322477507, 814856787423467258981011877238589584, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 9147924171748208361449606963904, 351025270760873738864977028139243760156677, 212433834663007512876144189169020015326643, 418829647187403284152400784, 376784654400003, 51704034189144853063204], 'label': '17006112.cy.27._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752049
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [9148311951999292012883781484804, 814856786616884339039057432930637600, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 51704033477769953325360, 191767538747919553560241391951685704488467, 51704034189319209645600, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 361653651526300294518413550921071466496053, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.27._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752050
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909180680903107, 526270820936528093035959162297123987, 376784654400003, 147, 255592376085790399945246855700451432721323, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 814865932412218940850440826013831104, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.8._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752051
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 17683523987479403909180680903107, 191767538747919553560241391951685704488467, 51704034189319209645600, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 1341127607522338287723334178454116403, 361653651526300294518413550921071466496053, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.27._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752052
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [26976017843272882218484, 191767538747919553560241391951685704488467, 376784654400003, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 371691566693646835307232583648776789878373, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.27._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752053
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [814856786616884336727800606034266404, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 376703703129843, 1341127607522338287723334178490359044, 418829647187403284152400784, 9148311951999292012883745196947, 371691566693646835307232584025480376921653, 17683524039183438098232121386243], 'label': '17006112.cy.27._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752054
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [9148311951999292012883745196947, 361653651526300294518413551632365291548773, 814856786616884339039057432850803907, 711468305049744, 9146650338351416526513381584788, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 1341127607522338287723710695303111683, 20666295932772708688980490078504988736003, 418829647187403284152400784, 212433579755009621113816771288574104286787, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.27._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752055
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 93405312004, 376784654400003, 418829647187403284152400784, 9146650338351415815045199914384, 9148730754670462284176626007188, 371691566693646835307232583648776789878373], 'label': '17006112.cy.27._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752056
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 51704034189238258375104, 376784654400003, 418829647187403284152400784, 191767810101594722629018341154622903006787, 9146650338351415815045199914384, 9148730754670462284176626007188, 371691566693646835307232583648776789878373], 'label': '17006112.cy.27._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752057
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 26976017843366287530483, 376784654400003, 418829647187403284152400784, 9146650338351415815045199914384, 191767283839920467461709477991057568478787, 9148730754670462284176626007188, 371691566693646835307232583648776789878373], 'label': '17006112.cy.27._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752058
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 271371359918493563542057094602752000, 45600, 174436416000, 361653651526299875715742381695743723548533, 9146650390055450004283334784148, 526270820517725411750251243876461600, 212433579755009621140792788755236688606643, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 51704034189238258375104, 376784654400003, 418829647187403284152400784, 9148311951999292012883745196947], 'label': '17006112.cy.27._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752059
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 271371359918493563542057094602752000, 45600, 174436416000, 361653651526299875715742381695743723548533, 526270820517725411750251243876461600, 9146650390055450004283334784148, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 376784654400003, 418829647187403284152400784, 9148311951999292012883745196947, 174356582640, 201805725260404002040167201795597177566883], 'label': '17006112.cy.27._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752060
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 361653651526299875715742381695743723548533, 9146650390055450004283334784148, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 376784654400003, 418829647187403284152400784, 9148311951999292012883745196947, 26976017843272882218240], 'label': '17006112.cy.27._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752061
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 361653396600618072212665743354116790069574, 147, 255592376085790399945246855700451432721323, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.8._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752062
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [9148311951999292012883745196947, 814856786616884339039057432930637600, 17683523987479403909180680903107, 191767538747919553560241391951685704488467, 51704034189319209645600, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 361653651526300294518413550921071466496053, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.27._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752063
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 376784654400003, 1341127607134558036640770729353761428, 9146650365327433658492322477507, 814856787423467258981011877238589584, 45600, 9147924171748208361449606963904, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 351025270760873738864977028139243760156677, 418829647187403284152400784, 51704034189319209645363, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.27._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752064
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [9146650365327433658492322477507, 814856787423467258981011877238589584, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 9147924171748208361449606963904, 351025270760873738864977028139243760156677, 51704034189238258375104, 201805453906728801948962988869763969758883, 376784654400003, 418829647187403284152400784], 'label': '17006112.cy.27._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752065
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 9146650390055450004283334784148, 526270820517725411750251243876461600, 9148311951999292347555057926548, 20666295932772708688980490078504988736003, 201805453906728801897258955391994016478787, 26976018178130889450244, 1341127607522338287724045378953761284, 418829647187403284152400784, 147, 814856786616884341593604715872691908, 351025270760874545447899281350514928156773], 'label': '17006112.cy.27._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752066
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [351025270760874545447899281350514928156773, 212433834663007512849168171702357431006787, 1341127607522338287724045378953761284, 711374899737844, 9148311951999292347555057926548, 45600, 814856786616884341593604715872691908, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 9146650390055450004283334784148, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.27._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752067
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [376610297817600, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 9146650390055450004283334784148, 526270820517725411750251243876461600, 9148311951999292347555057926548, 20666295932772708688980490078504988736003, 26976018178130889450244, 1341127607522338287724045378953761284, 418829647187403284152400784, 814856786616884341593604715872691908, 351025270760874545447899281350514928156773], 'label': '17006112.cy.27._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752068
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [814856786616884336727800606034266404, 265630019899461352862612903484756072675867, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 74157170456011021753596671170283557402925, 418829647187403284152400784, 9148311951999292012883745196947, 371691566693646835307232584025480376921653, 17683524039183438098232121386243], 'label': '17006112.cy.27._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752735
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [174436416000, 271371359918493563542057094602752000, 45600, 526270820517725411750251243876461600, 418829647187403284152400784, 17683524039183438098232121386243, 20666295932772708688980490078504988736003], 'label': '17006112.cy.7776._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7776.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7776._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752069
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 45600, 276258672018563108607251328312119400756507, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607522338287723710695303111683, 418829647187403284152400784, 74157170456011021753596671170283557402925, 9148311951999292012883745196947, 814856786616884339039057432850803907, 9146650338351416526513381584788, 361653651526300294518413551632365291548773], 'label': '17006112.cy.27._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752070
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [9148311951999292012883745196947, 17683524039183438098232121386243, 371691566693646835307232584025480376921653, 74157170456011021753596671170283600983805, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 814856786616884336727800606034266404, 418829647187403284152400784, 148609565488222574591022484625872213489440, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.27._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752071
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 148609565505906098603225038742143866481440, 74157170456011021701894948572811233815805, 1341127607522338287723710695303111683, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907, 9146650338351416526513381584788, 361653651526300294518413551632365291548773], 'label': '17006112.cy.27._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752072
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 191767538747919553560241391951685704488467, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 361653651526300294518413550921071466496053, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.9._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752073
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [814856786616884336727800606034266404, 271371359918493563542057094602752000, 45600, 174436416000, 74157170456011021753596671170283637317165, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 276258926926560969320187507867947112756604, 1341127607522338287723334178490359044, 418829647187403284152400784, 9148311951999292012883745196947, 371691566693646835307232584025480376921653, 17683524039183438098232121386243], 'label': '17006112.cy.27._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752074
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [9148311951999292012883745196947, 361653651526300294518413551632365291548773, 74157170456011021701894948572811154027565, 814856786616884339039057432850803907, 9146650338351416526513381584788, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 1341127607522338287723710695303111683, 20666295932772708688980490078504988736003, 418829647187403284152400784, 265630291253137747316988141639602280675964, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.27._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752075
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 17683524039183438098232121386243, 93405312004, 361653651526300294518413551632365291548773, 1341127607522338287724045378990014000, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 9148311951999291636099170630644, 814856786616884341593604715792858160, 9146650390055449292989509696244, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.27._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752076
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [526270820517725411750251243876416000, 191767538747919553560241391951685784286787, 174436416000, 10629195622213172510799544749289142042304, 271371359111858937255368053481472000, 20666567304131401718270558043274317888003, 17683523987479403909180680903107, 9148311951999292012883781484804, 376784654400003, 10628907036247073405824291587638217450483, 271371359111858932388852755720938483, 371691040423435287636417974429669156764530, 526270820517725411750251069519879107, 20667382160918825158540850558546702864883], 'label': '17006112.cy.27._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752077
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 9147924171748208361449650509363, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 51704034189238258375104, 376784654400003, 418829647187403284152400784, 17683524039183438098232121386243, 361653651526299487935491298086236123528917], 'label': '17006112.cy.27._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752078
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 174356582640, 17683524039183438098232121386243, 814856786616884341593604715829146403, 351025270760874545447899281685105166272053, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287724045379033514243, 17683523987479404285697450029508, 526270820517725411750251243876461600, 9148311951999291636099206918544, 174436416000], 'label': '17006112.cy.27._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752079
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [1341127607134558036640770729390014144, 814856787423467258981011877238589584, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 17683524039183437386950634218387, 418829647187403284152400784, 9147924171748208361449570676004, 51704034189144853063204, 17683524039183438098232121386243, 361653651526299487935491298086236123528917], 'label': '17006112.cy.27._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752080
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [371691311785648555791625234156327429999173, 17683524039183438098232121386243, 814865933654951227389274590075387124, 74157170456011021753596671170283600983805, 1086210462204755792024001182283628948, 17685185601127280441516175191043, 45600, 271371359918493563542057094602752000, 9146650338351416526594332855187, 20666295932772708688980490078504988736003, 418829647187403284152400784, 255592104732115230876465040693497960721324, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.27._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752081
    {'ambient': '17006112.cy', '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': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 147, 255592376085790399945246855700451432721323, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.32.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752082
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 361652836651831008650364945351627825544773, 201806531885508928894703930705171893693563, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752083
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 376784654400003, 74157170456011021753596671170283557402925, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907, 255592376085790399945246855700451432721228, 9146650338351415815045199914384, 371691566693646835307232583648776789878373], 'label': '17006112.cy.9._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752084
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [174356582640, 1341127607522338287723334178533985280, 376784654400003, 191767283839920467461709477991057568478787, 361652836651831008650364945351627825544773, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752085
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 51704033477769953325360, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 93405312004, 418829647187403284152400784, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752086
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 17683523987479403909180680903107, 51704034189319209645600, 147, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752736
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [174436416000, 271371359918493563542057094602752000, 45600, 526270820517725411750251243876461600, 418829647187403284152400784, 20666295932772708688980490078504988736003, 9146650390055449669599691392147], 'label': '17006112.cy.7776._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7776.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7776._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752087
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 51704034189238258375104, 376784654400003, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.36._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752088
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [51704033477769953325360, 93405312243, 814856787423467258981011877238589584, 271371359918493563542057094602752000, 371691566675961649733081322097248714975954, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524039183438098406477968784], 'label': '17006112.cy.36._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752089
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 351025270743189359898476034722109140780610, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 26976018178130889450244, 147, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.36._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752090
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 26976017843272882218484, 93405312004, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752091
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 1341127607522338287723334178533985280, 51704033477769953325360, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752092
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [26976017843272882218484, 147, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752093
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752094
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 351025270760874545447899280973823795145013, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907], 'label': '17006112.cy.9._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752095
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752096
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 93405312004, 376784654400003, 418829647187403284152400784, 814856786616884339039057432850803907, 9146650338351415815045199914384], 'label': '17006112.cy.36._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752097
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [174356582640, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752098
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [174356582640, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 17683523987479403909261632173364, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752099
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784, 814856786616884339039057432850803907], 'label': '17006112.cy.36._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752100
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909180680903107, 814856786616884339039057432850803907, 711468305049744, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 1341127607522338287723710695303111683, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649706105304630586130656050, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752101
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752102
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 376784654400003, 418829647187403284152400784, 174356582640, 814856786616884339039057432930637600, 351025270743189359846772001620856043637810], 'label': '17006112.cy.36._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752103
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 191767538747919553560241391951685704488467, 376784654400003, 361652836651831008650364945351627825544773, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752104
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [174356582640, 1341127607522338287723334178533985280, 376784654400003, 361652836651831008650364945351627825544773, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 201806531885508928894703930705171850193323, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752105
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [9148311951999292012883745196947, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 191767810101594722629018341154622903006787, 371691566693646835307232583648776789878373, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.9._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752106
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784, 201806531885508928894703930705171850193323], 'label': '17006112.cy.36._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752107
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 93405312004, 1341127607522338287723334178533985280, 376784654400003, 361652836651831008650364945351627825544773, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752108
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 376784654400003, 361652836651831008650364945351627825544773, 147, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 191767810101594722629018341154622903006787, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752109
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [201806276986047523001248552175041172497323, 93405312004, 376784654400003, 814856786616884339039057432850803907, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752110
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 51704033477769953325360, 51704034189319209645600, 147, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752111
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 351025270743189359898476034722109140780610, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 51704034189238258375104, 26976018178130889450244, 418829647187403284152400784, 17683524039183438098406477968784], 'label': '17006112.cy.36._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752112
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 17683523987479403909261632173364, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752113
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752114
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 147, 418829647187403284152400784, 814856786616884339039057432850803907], 'label': '17006112.cy.36._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752115
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 26976017843272882218484, 376784654400003, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752116
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 351025270760874545447899280973823795145013, 255592630993789486043776458404171880721227, 1341127607522338287723334178490359044, 418829647187403284152400784, 74157170456011021753596671170283557402925, 9148311951999292012883745196947, 814856786616884339039057432850803907], 'label': '17006112.cy.9._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752117
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 1341127607522338287723710695303111683, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649706105304630586130656050, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752118
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 1341127607134558036640770729353761428, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649733081322097248714975954, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752119
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 51704034189238258375104, 1341127607134558036640770729353761428, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649733081322097248714975954, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752120
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 1341127607134558036640770729353761428, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649733081322097248714975954, 93405312243, 526270820517725411750251243876461600, 26976017843447238800788, 174436416000], 'label': '17006112.cy.36._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752121
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 17683523987479403909180680903107, 376784654400003, 147, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752122
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 17683523987479403909180680903107, 93405312004, 376784654400003, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752123
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 17683523987479403909180680903107, 376784654400003, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752124
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 51704033477769953325360, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351025270743189359898476034722109140780610, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752125
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 51704033477769953325360, 51704034189238258375104, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351025270743189359898476034722109140780610, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752126
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 93405312243, 814856787423467258981011877238589584, 271371359918493563542057094602752000, 351025270743189359898476034722109140780610, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 418829647187403284152400784], 'label': '17006112.cy.36._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752127
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [74157170456011021753594116623175051764525, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 148609565505906098603225038742143866481440, 376784654400003, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907, 9146650338351415815045199914384, 371691566693646835307232583648776789878373], 'label': '17006112.cy.9._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752128
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 26976017843272882218484, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 51704033477769953325360, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752129
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 26976017843272882218484, 17683523987479403909180680903107, 93405312004, 1341127607522338287723334178533985280, 51704033477769953325360, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752130
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 26976017843272882218484, 174356582640, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 51704033477769953325360, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752131
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 361653651508615108917286271568022683884850, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 26976018178130889450244, 147, 418829647187403284152400784], 'label': '17006112.cy.36._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752132
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 361653651508615108917286271568022683884850, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 51704034189238258375104, 17683523987479403909180680903107, 26976018178130889450244, 418829647187403284152400784], 'label': '17006112.cy.36._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752133
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 361653651508615108917286271568022683884850, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 26976018178130889450244, 418829647187403284152400784], 'label': '17006112.cy.36._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752134
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 17683523987479403909180680903107, 147, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752135
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 17683523987479403909180680903107, 93405312004, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752136
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 26976017843272882218484, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 26976018178130889450244, 418829647187403284152400784, 814856786616884339039057432887091764, 174356582640], 'label': '17006112.cy.36._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752137
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 376784654400003, 147, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752138
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 74157170456011021753596671170283600983805, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 148609565505906098603225038742143866481440, 351025270760874545447899280973823795145013, 1341127607522338287723334178490359044, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907], 'label': '17006112.cy.9._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752139
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 93405312004, 376784654400003, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752140
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 376784654400003, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752141
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 1341127607522338287723334178533985280, 51704033477769953325360, 147, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752142
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 51704033477769953325360, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 93405312004, 17683524039183438098406477968784, 418829647187403284152400784, 814856786616884339039057432887091764], 'label': '17006112.cy.36._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752143
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 1341127607522338287723334178533985280, 51704033477769953325360, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752144
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 26976018178130889450244, 147, 17683524039183438098406477968784, 418829647187403284152400784, 814856786616884339039057432887091764, 351025270743189359846772001620856043637810], 'label': '17006112.cy.36._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752145
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 93405312004, 26976018178130889450244, 17683524039183438098406477968784, 418829647187403284152400784, 814856786616884339039057432887091764, 351025270743189359846772001620856043637810], 'label': '17006112.cy.36._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752737
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [174436416000, 271371359918493563542057094602752000, 45600, 526270820517725411750251243876461600, 418829647187403284152400784, 20666295932772708688980490078504988736003], 'label': '17006112.cy.23328._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23328.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23328._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752146
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 26976018178130889450244, 17683524039183438098406477968784, 418829647187403284152400784, 814856786616884339039057432887091764, 174356582640, 351025270743189359846772001620856043637810], 'label': '17006112.cy.36._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752147
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024744481515492459711667184750772412674, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752148
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909180680903204, 351024744481515492459711667184750772412674, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752149
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 74157170456011021753596671170283600983805, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 148609565505906098603225038742143866481440, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 9148311951999292012883781484804, 376784654400003, 418829647187403284152400784, 814856786616884339039057432850803907], 'label': '17006112.cy.3._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752150
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 376784654400003, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907, 74157170456011021753594116623174971966205, 255592376085790399945246855700451432721323, 9146650338351415815045199914384, 371691566693646835307232583648776789878373], 'label': '17006112.cy.9._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752151
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 9146650338351415815219556496640, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024744481515492459711667184750772412674, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752152
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 17683523987479404285697450029508, 45600, 814865933654951227388898060765092644, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 147, 418829647187403284152400784, 814856786616884339039057432850803907, 371691311767963370190497954803546525403970], 'label': '17006112.cy.36._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752153
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903204, 93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 17683523987479404285697450029508, 45600, 814865933654951227388898060765092644, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432850803907, 371691311767963370190497954803546525403970], 'label': '17006112.cy.36._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752154
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 17683523987479404285697450029508, 45600, 814865933654951227388898060765092644, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432850803907, 9146650338351415815219556496640, 371691311767963370190497954803546525403970], 'label': '17006112.cy.36._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752155
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 814856786616884339039057432850803907, 147, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479404285697450029508, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752156
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 93405312004, 814856786616884339039057432850803907, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479404285697450029508, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752157
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 174356582640, 814856786616884339039057432850803907, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479404285697450029508, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752158
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1086219609242822680373841554817488787, 93405312243, 526270820517725411750251243876461600, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.36._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752159
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 17683523987479403909180680903204, 93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 1086219609242822680373841554817488787, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432850803907], 'label': '17006112.cy.36._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752160
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9146650338351415815219556496640, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1086219609242822680373841554817488787, 93405312243, 526270820517725411750251243876461600, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.36._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752161
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 74157170456011021753596671170283637317165, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 351025270760874545447899280973823795145013, 1341127607522338287723334178490359044, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907, 255592104732115230876465040693497960721324], 'label': '17006112.cy.9._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752162
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 1341127607134558036640770729353761428, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 9148730754670462284176546173440, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752163
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 51704034189238258375104, 1341127607134558036640770729353761428, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 9148730754670462284176546173440, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752164
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 1341127607134558036640770729353761428, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 9148730754670462284176546173440, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 26976017843447238800788, 174436416000], 'label': '17006112.cy.36._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752165
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 814856786616884339039057432930637600, 17683523987479403909180680903107, 51704034189319209645600, 376784654400003, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752166
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 376784654400003, 418829647187403284152400784, 9148311951999292012883745196947, 174356582640, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752167
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 814856786616884339039057432930637600, 17683523987479403909180680903107, 93405312004, 51704034189319209645600, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752168
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 9148311951999292012883781484804, 17683523987479403909180680903107, 376784654400003, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752169
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 9148311951999292012883781484804, 17683523987479403909180680903107, 93405312004, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752170
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 9148311951999292012883781484804, 17683523987479403909180680903107, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752171
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 51704033477769953325360, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 9147924171748208361449650509363, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752172
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 814856786616884339039057432930637600, 17683523987479403909180680903107, 51704034189319209645600, 147, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 1341127607522338287723334178454116403, 361653651526300294518413550921071466496053, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.9._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752173
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 51704033477769953325360, 51704034189238258375104, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 9147924171748208361449650509363, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752174
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 93405312243, 814856787423467258981011877238589584, 271371359918493563542057094602752000, 9147924171748208361449650509363, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 418829647187403284152400784], 'label': '17006112.cy.36._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752175
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 814856786616884339039057432930637600, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 51704033477769953325360, 51704034189319209645600, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752176
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 9148311951999292012883781484804, 418829647187403284152400784, 174356582640, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752177
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 93405312004, 17683523987479403909180680903107, 9148311951999292012883781484804, 418829647187403284152400784, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752178
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 26976017843272882218484, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 51704033477769953325360, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752179
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 26976017843272882218484, 17683523987479403909180680903107, 93405312004, 1341127607522338287723334178533985280, 51704033477769953325360, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752180
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 26976017843272882218484, 174356582640, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 51704033477769953325360, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752181
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 26976018178130889450244, 9148311951999292012883781484804, 418829647187403284152400784, 147], 'label': '17006112.cy.36._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752182
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 51704034189238258375104, 17683523987479403909180680903107, 26976018178130889450244, 9148311951999292012883781484804, 418829647187403284152400784], 'label': '17006112.cy.36._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752183
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 26976017843272882218484, 93405312004, 376784654400003, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 371691566693646835307232583648776789878373, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.9._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752184
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 26976018178130889450244, 9148311951999292012883781484804, 418829647187403284152400784], 'label': '17006112.cy.36._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752185
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 17683523987479403909180680903107, 51704034189319209645600, 147, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752186
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 9148311951999292012883825030640, 17683523987479403909180680903107, 26976018178130889450244, 418829647187403284152400784, 174356582640, 1341127607522338287723334178454116403, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752187
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 17683523987479403909180680903107, 93405312004, 51704034189319209645600, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752188
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 17683523987479403909180680903107, 147, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752189
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 17683523987479403909180680903107, 93405312004, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752190
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 20666295932772708688980490078504988736003, 9148311951999292012883825030640, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 26976018178130889450244, 418829647187403284152400784, 814856786616884339039057432887091764, 174356582640], 'label': '17006112.cy.36._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752191
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [376784654400003, 1341127607134558036640770729353761428, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 9147924171748208361449650509363, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752192
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 9147924171748208361449650509363, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 51704034189238258375104, 376784654400003, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.36._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752193
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 9147924171748208361449650509363, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 376784654400003, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.36._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752194
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 376784654400003, 418829647187403284152400784, 9148311951999292012883745196947, 174356582640, 814856786616884339039057432930637600], 'label': '17006112.cy.9._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752195
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 9148311951999292012883781484804, 17683524039183438098406477968784, 147, 376784654400003, 418829647187403284152400784, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752196
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 9148311951999292012883781484804, 376784654400003, 17683524039183438098406477968784, 418829647187403284152400784, 174356582640, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752197
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 93405312004, 9148311951999292012883781484804, 17683524039183438098406477968784, 376784654400003, 418829647187403284152400784, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752198
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 26976017843272882218484, 376784654400003, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752199
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 26976017843272882218484, 93405312004, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752200
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 26976017843272882218484, 174356582640, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752201
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 1341127607522338287723334178533985280, 51704033477769953325360, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752202
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 1341127607522338287723334178533985280, 51704033477769953325360, 51704034189238258375104, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752203
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 93405312243, 814856787423467258981011877238589584, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 9148311951999292012883781484804, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.36._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752204
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 1341127607522338287723334178533985280, 51704033477769953325360, 51704034189319209645600, 147, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752205
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [51704033477769953325360, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 93405312004, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 9148311951999292012883781484804, 418829647187403284152400784, 814856786616884339039057432930637600], 'label': '17006112.cy.9._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752206
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 9148311951999292012883825030640, 418829647187403284152400784, 17683524039183438098406477968784, 174356582640, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752207
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 9148311951999292012883825030640, 93405312004, 418829647187403284152400784, 17683524039183438098406477968784, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752208
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 1341127607522338287723334178533985280, 51704033477769953325360, 147, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752209
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 9148311951999292012883825030640, 93405312004, 418829647187403284152400784, 17683524039183438098406477968784, 814856786616884339039057432887091764], 'label': '17006112.cy.36._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752210
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 1341127607522338287723334178533985280, 51704033477769953325360, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752211
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9148730754670462284176546173440, 20666295932772708688980490078504988736003, 26976018178130889450244, 147, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.36._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752212
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9148730754670462284176546173440, 20666295932772708688980490078504988736003, 51704034189238258375104, 26976018178130889450244, 418829647187403284152400784, 17683524039183438098406477968784], 'label': '17006112.cy.36._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752213
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 9148730754670462284176546173440, 20666295932772708688980490078504988736003, 26976018178130889450244, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.36._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752214
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 814856786616884339039057432930637600, 51704034189319209645600, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752215
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 174356582640, 814856786616884339039057432930637600, 51704034189319209645600, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752216
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [814856786616884336727800606034266404, 271371359918493563542057094602752000, 74157170456011021753596671170283600983805, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 376703703129843, 1341127607522338287723334178490359044, 418829647187403284152400784, 9148311951999292012883745196947, 371691566693646835307232584025480376921653, 255592104732115230876465040693497960721324, 17683524039183438098232121386243], 'label': '17006112.cy.9._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752217
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 814856786616884339039057432930637600, 93405312004, 51704034189319209645600, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752218
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 9148311951999292012883781484804, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752219
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 9148311951999292012883781484804, 93405312004, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752220
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 26976018178130889450244, 9148311951999292012883781484804, 17683524039183438098406477968784, 418829647187403284152400784, 814856786616884339039057432887091764, 174356582640], 'label': '17006112.cy.36._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752221
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 376784654400003, 1341127607134558036640770729353761428, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752222
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 376784654400003, 51704034189238258375104, 1341127607134558036640770729353761428, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752223
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 376784654400003, 1341127607134558036640770729353761428, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 93405312243, 526270820517725411750251243876461600, 26976017843447238800788, 174436416000], 'label': '17006112.cy.36._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752224
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 51704034189319209645600, 376784654400003, 147, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752225
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 17683524014455421752360034304148, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 9148311951999292012883825030640, 1341127607522338287723334178490359044, 376784654400003, 418829647187403284152400784, 174356582640, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752226
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 93405312004, 51704034189319209645600, 376784654400003, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752227
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 361652836651831008650364945351627825544773, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 201806531885508928894703930705171850193323, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.12._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.A', 'projective_image': None, '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: 156752228
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 376784654400003, 147, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752229
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 93405312004, 376784654400003, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752230
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 376784654400003, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752231
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 51704033477769953325360, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 9148730754670462284176546173440, 418829647187403284152400784, 17683524014455421752360034304148, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752232
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 51704033477769953325360, 51704034189238258375104, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 9148730754670462284176546173440, 418829647187403284152400784, 17683524014455421752360034304148, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752233
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 93405312243, 814856787423467258981011877238589584, 271371359918493563542057094602752000, 17683524014455421752360034304148, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 9148730754670462284176546173440, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 418829647187403284152400784], 'label': '17006112.cy.36._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752234
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 814856786616884339039057432930637600, 1341127607522338287723334178533985280, 51704033477769953325360, 51704034189319209645600, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752235
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 174356582640, 814856786616884339039057432930637600, 1341127607522338287723334178533985280, 51704033477769953325360, 51704034189319209645600, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752236
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 814856786616884339039057432930637600, 93405312004, 1341127607522338287723334178533985280, 51704033477769953325360, 51704034189319209645600, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752237
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 9148311951999292012883781484804, 1341127607522338287723334178533985280, 51704033477769953325360, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752238
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.12._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.B', 'projective_image': None, '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: 156752239
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 9148311951999292012883781484804, 93405312004, 1341127607522338287723334178533985280, 51704033477769953325360, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752240
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 9148311951999292012883781484804, 1341127607522338287723334178533985280, 51704033477769953325360, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752241
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 17683524014455421752360034304148, 45600, 9147924171748208361449650509363, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 26976018178130889450244, 147, 418829647187403284152400784], 'label': '17006112.cy.36._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752242
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 17683524014455421752360034304148, 45600, 9147924171748208361449650509363, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 51704034189238258375104, 26976018178130889450244, 418829647187403284152400784], 'label': '17006112.cy.36._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752243
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 17683524014455421752360034304148, 9147924171748208361449650509363, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784], 'label': '17006112.cy.36._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752244
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 814856786616884339039057432930637600, 51704034189319209645600, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752245
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [174356582640, 9148311951999292012883781484804, 814856786616884339039057432930637600, 51704034189319209645600, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752246
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 814856786616884339039057432930637600, 93405312004, 51704034189319209645600, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752247
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 26976017843272882218484, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752248
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 26976017843272882218484, 93405312004, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752249
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 361652836651831008650364945351627825544773, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.12._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.C', 'projective_image': None, '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: 156752250
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 26976017843272882218484, 174356582640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752251
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1661613647876197664348493504, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752252
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909180680903204, 1661613647876197664348493504, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752253
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 9146650338351415815219556496640, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1661613647876197664348493504, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752254
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752255
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [174356582640, 9148311951999292012883781484804, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752256
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 93405312004, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752257
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752258
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 93405312004, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752259
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 174356582640, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752260
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 9148311951999292012883781484804, 74157170456011021753596671170283557402925, 376784654400003, 418829647187403284152400784, 814856786616884339039057432850803907, 255592376085790399945246855700451432721228], 'label': '17006112.cy.3._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752261
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [223384864817999466112314043444771008795001, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 74157170456011021753596671170283637317165, 361652836651831008650364945351627825544773, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.12._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.D', 'projective_image': None, '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: 156752262
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 814865933654951227388898060765092644, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752263
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 814865933654951227388898060765092644, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909180680903204, 93405312243, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752264
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 9146650338351415815219556496640, 814865933654951227388898060765092644, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752265
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432850803907, 147, 9148311951999292012883825030640, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 17683523987479403909261632173364, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752266
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [174356582640, 814856786616884339039057432850803907, 9148311951999292012883825030640, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 17683523987479403909261632173364, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752267
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [93405312004, 814856786616884339039057432850803907, 9148311951999292012883825030640, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 17683523987479403909261632173364, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752268
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 17683523987479404285697450029508, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 9148311951999292012883825030640, 1341127607522338287723334178490359044, 147, 418829647187403284152400784, 814856786616884339039057432850803907, 9146650338351415815045199914384], 'label': '17006112.cy.36._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752269
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 17683523987479404285697450029508, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 9148311951999292012883825030640, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784, 814856786616884339039057432850803907, 9146650338351415815045199914384], 'label': '17006112.cy.36._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752270
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 17683523987479404285697450029508, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 9148311951999292012883825030640, 1341127607522338287723334178490359044, 418829647187403284152400784, 814856786616884339039057432850803907, 174356582640, 9146650338351415815045199914384], 'label': '17006112.cy.36._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752271
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1086219609242822680373841554817488787, 93405312243, 526270820517725411750251243876461600, 17685185601127280106832451965683, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.36._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752272
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 361652836651831008650364945351627825544773, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 223384864817999466112314043444771008794909, 20666295932772708688980490078504988736003, 418829647187403284152400784, 74157170456011021753596671170283557402925, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.12._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.E', 'projective_image': None, '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: 156752273
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903204, 93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 1086219609242822680373841554817488787, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 17685185601127280106832451965683, 418829647187403284152400784, 814856786616884339039057432850803907], 'label': '17006112.cy.36._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752274
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9146650338351415815219556496640, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1086219609242822680373841554817488787, 93405312243, 526270820517725411750251243876461600, 17685185601127280106832451965683, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.36._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752275
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.36._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752276
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 174356582640, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.36._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752277
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 93405312004, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.36._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752278
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 814856786616884339039057432850803907, 147, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.36._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752279
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 93405312004, 814856786616884339039057432850803907, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.36._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752280
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 9148311951999292012883781484804, 418829647187403284152400784, 814856786616884339039057432850803907, 174356582640, 1341127607522338287723334178454116403, 9146650338351415815045199914384], 'label': '17006112.cy.36._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752281
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 1341127607522338287723710695303111683, 20666295932772708688980490078504988736003, 418829647187403284152400784, 9148311951999292347554978092800, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752282
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400148, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 1341127607522338287723710695303111683, 20666295932772708688980490078504988736003, 418829647187403284152400784, 9148311951999292347554978092800, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752283
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 74157170456011021753596671170283600983805, 361652836651831008650364945351627825544773, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 95736844507278659254777469580642288656642, 174436416000], 'label': '17006112.cy.12._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.F', 'projective_image': None, '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: 156752284
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 814856786616884339039057432850803907, 711468305049744, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 1341127607522338287723710695303111683, 20666295932772708688980490078504988736003, 418829647187403284152400784, 9148311951999292347554978092800, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752285
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 376610297817844, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752286
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 9148311951999292012883781484804, 418829647187403284152400784, 814856786616884339039057432850803907, 174356582640, 376610297817844], 'label': '17006112.cy.36._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752287
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 93405312004, 376610297817844, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752288
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 17683523987479403909180680903107, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 711549256320240, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752289
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 17683523987479403909180680903107, 93405312004, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 711549256320240, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752290
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 174356582640, 17683523987479403909180680903107, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 711549256320240, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752291
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 9148311951999292012883825030640, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752292
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 93405312004, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 9148311951999292012883825030640, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752293
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [174356582640, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 9148311951999292012883825030640, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752294
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 9148311951999292012883781484804, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.12._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.G', 'projective_image': None, '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: 156752295
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 20666295950456232676459893987417784365508, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 10628380774573673215286461218564004128003, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752296
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 371691566675961649706105304295902400137570, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 26976018178130889450244, 418829647187403284152400784, 174356582640, 1341127607522338287723334178454116403, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752297
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 147, 351024200978405737307208539190276831420213, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649733081322097248714975954, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752298
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 51704034189238258375104, 351024200978405737307208539190276831420213, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649733081322097248714975954, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752299
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 351024200978405737307208539190276831420213, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649733081322097248714975954, 93405312243, 526270820517725411750251243876461600, 26976017843447238800788, 174436416000], 'label': '17006112.cy.36._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752300
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 814856786616884339039057432930637600, 17683523987479403909180680903107, 51704034189319209645600, 376784654400003, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024200978405737331936554489915859007093, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752301
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 174356582640, 814856786616884339039057432930637600, 17683523987479403909180680903107, 51704034189319209645600, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024200978405737331936554489915859007093, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752302
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 814856786616884339039057432930637600, 17683523987479403909180680903107, 93405312004, 51704034189319209645600, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024200978405737331936554489915859007093, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752303
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 17683523987479403909180680903107, 376784654400003, 147, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752304
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 17683523987479403909180680903107, 93405312004, 376784654400003, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752305
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 361652581743831486402450824437082615295333, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.12._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.H', 'projective_image': None, '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: 156752306
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 17683523987479403909180680903107, 376784654400003, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752307
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 51704033477769953325360, 361652581743831486402450824437082615295333, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351025270743189359898476034722109140780610, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752308
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 51704033477769953325360, 361652581743831486402450824437082615295333, 51704034189238258375104, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351025270743189359898476034722109140780610, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752309
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 51704033477769953325360, 361652581743831486402450824437082615295333, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351025270743189359898476034722109140780610, 93405312243, 526270820517725411750251243876461600, 26976017843447238800788, 174436416000], 'label': '17006112.cy.36._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752310
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 17683523987479403909180680903107, 51704033477769953325360, 361652581743831486402450824437082615295333, 51704034189319209645600, 147, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752311
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 51704033477769953325360, 361652581743831486402450824437082615295333, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 418829647187403284152400784, 174356582640, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752312
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 51704033477769953325360, 361652581743831486402450824437082615295333, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 93405312004, 418829647187403284152400784, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752313
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 26976017843272882218484, 17683523987479403909180680903107, 51704033477769953325360, 361652581743831486402450824437082615295333, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752314
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 26976017843272882218484, 17683523987479403909180680903107, 93405312004, 51704033477769953325360, 361652581743831486402450824437082615295333, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752315
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 26976017843272882218484, 174356582640, 17683523987479403909180680903107, 51704033477769953325360, 361652581743831486402450824437082615295333, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752316
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.12._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.I', 'projective_image': None, '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': None}
  • id: 156752317
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 371690496911178027139565824063721572395573, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752318
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 371690496911178027139565824063721572395573, 51704034189238258375104, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752319
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 371690496911178027139565824063721572395573, 26976017843447238800788, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 26976018178130889450244, 418829647187403284152400784], 'label': '17006112.cy.36._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752320
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 371691566675961649706105304295902400137570, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 26976018178130889450244, 147, 418829647187403284152400784, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752321
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 371691566675961649706105304295902400137570, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 26976018178130889450244, 418829647187403284152400784, 174356582640, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752322
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 371691566675961649706105304295902400137570, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 26976018178130889450244, 93405312004, 418829647187403284152400784, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.II', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752323
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 17683523987479403909180680903107, 147, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 351024200978405737331936554489915859007093, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752324
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 17683523987479403909180680903107, 93405312004, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 351024200978405737331936554489915859007093, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752325
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 17683523987479403909180680903107, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 351024200978405737331936554489915859007093, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752326
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 814856787423467258981011877238589584, 93405312243, 361652581743831486402450824437082615295333, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 376784654400003, 17683524039183438098406477968784, 418829647187403284152400784, 147], 'label': '17006112.cy.36._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752327
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 201806276995194979922524775748466045969323, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.12._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.J', 'projective_image': None, '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: 156752328
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 814856787423467258981011877238589584, 93405312243, 361652581743831486402450824437082615295333, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 51704034189238258375104, 376784654400003, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.36._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752329
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 814856787423467258981011877238589584, 93405312243, 361652581743831486402450824437082615295333, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 20666295932772708688980490078504988736003, 376784654400003, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.36._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752330
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361652581743831486402450824437082615295333, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 371691566675961649706105304295902400137570, 20666295932772708688980490078504988736003, 376784654400003, 17683524039183438098406477968784, 418829647187403284152400784, 147, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752331
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361652581743831486402450824437082615295333, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 371691566675961649706105304295902400137570, 20666295932772708688980490078504988736003, 376784654400003, 17683524039183438098406477968784, 418829647187403284152400784, 174356582640, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752332
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361652581743831486402450824437082615295333, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 371691566675961649706105304295902400137570, 20666295932772708688980490078504988736003, 93405312004, 376784654400003, 17683524039183438098406477968784, 418829647187403284152400784, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752333
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 361652581743831486402450824437082615295333, 376784654400003, 147, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752334
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 93405312004, 361652581743831486402450824437082615295333, 376784654400003, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752335
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 361652581743831486402450824437082615295333, 376784654400003, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752336
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 371690496911178027139565824063721572395573, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649733081322097248714975954, 93405312243, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752337
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 371690496911178027139565824063721572395573, 51704034189238258375104, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649733081322097248714975954, 93405312243, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752338
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 74157170456011021753596671170283600983805, 45600, 174436416000, 526270820517725411750251243876461600, 244051160759918406283022744468199944475001, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784], 'label': '17006112.cy.12._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.K', 'projective_image': None, '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: 156752339
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 371690496911178027139565824063721572395573, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649733081322097248714975954, 93405312243, 526270820517725411750251243876461600, 26976017843447238800788, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752340
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 814856786616884339039057432930637600, 51704033477769953325360, 51704034189319209645600, 147, 45600, 271371359918493563542057094602752000, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752341
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 174356582640, 814856786616884339039057432930637600, 51704033477769953325360, 51704034189319209645600, 45600, 271371359918493563542057094602752000, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.IZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.IZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752342
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 814856786616884339039057432930637600, 93405312004, 51704033477769953325360, 51704034189319209645600, 45600, 271371359918493563542057094602752000, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752343
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 51704033477769953325360, 147, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024200978405737331936554489915859007093, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752344
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 93405312004, 51704033477769953325360, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024200978405737331936554489915859007093, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752345
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 51704033477769953325360, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024200978405737331936554489915859007093, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752346
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 351025270743189359898476034722109140780610, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 26976018178130889450244, 147, 17683524039183438098406477968784, 418829647187403284152400784, 351024200978405737307208539190276831420213], 'label': '17006112.cy.36._.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752347
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 351025270743189359898476034722109140780610, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 51704034189238258375104, 26976018178130889450244, 418829647187403284152400784, 17683524039183438098406477968784, 351024200978405737307208539190276831420213], 'label': '17006112.cy.36._.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752348
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 351025270743189359898476034722109140780610, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 20666295932772708688980490078504988736003, 26976018178130889450244, 17683524039183438098406477968784, 418829647187403284152400784, 351024200978405737307208539190276831420213], 'label': '17006112.cy.36._.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752349
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 74157170456011021753596671170283600983805, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 265629731304350296001409722947333984405684, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.16.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752350
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 51704034189319209645600, 147, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 351024200978405737331936554489915859007093, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.JH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752351
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 351024200978405737331936554489915859007093, 26976018178130889450244, 17683524039183438098406477968784, 418829647187403284152400784, 174356582640, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.JI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752352
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 93405312004, 51704034189319209645600, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 351024200978405737331936554489915859007093, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.JJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752353
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 371690496911178027191269857164962338840837, 26976017843272882218484, 20666295932772708688980490078504988736003, 26976018178130889450244, 147, 17683524039183438098406477968784, 418829647187403284152400784, 814856786616884339039057432887091764, 351025270743189359846772001620856043637810], 'label': '17006112.cy.36._.JK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752354
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 371690496911178027191269857164962338840837, 26976017843272882218484, 20666295932772708688980490078504988736003, 93405312004, 26976018178130889450244, 17683524039183438098406477968784, 418829647187403284152400784, 814856786616884339039057432887091764, 351025270743189359846772001620856043637810], 'label': '17006112.cy.36._.JL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752355
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 371690496911178027191269857164962338840837, 26976017843272882218484, 20666295932772708688980490078504988736003, 26976018178130889450244, 17683524039183438098406477968784, 418829647187403284152400784, 814856786616884339039057432887091764, 174356582640, 351025270743189359846772001620856043637810], 'label': '17006112.cy.36._.JM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752356
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [371690496911178027139565824063721572395573, 376784654400003, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 351025270743189359898476034722109140780610, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.JN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752357
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [371690496911178027139565824063721572395573, 376784654400003, 51704034189238258375104, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 351025270743189359898476034722109140780610, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.JO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752358
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 17683524014455421752360034304148, 351025270743189359898476034722109140780610, 45600, 174436416000, 371690496911178027139565824063721572395573, 26976017843447238800788, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 376784654400003, 418829647187403284152400784], 'label': '17006112.cy.36._.JP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752359
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 51704034189319209645600, 376784654400003, 147, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.JQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752360
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 361653651526300294518413550921071466496053, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.A', 'projective_image': None, '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: 156752361
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 271371359918493563542057094602752000, 17683524014455421752360034304148, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 376784654400003, 418829647187403284152400784, 174356582640, 814856786616884339039057432930637600], 'label': '17006112.cy.36._.JR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752362
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 93405312004, 51704034189319209645600, 376784654400003, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.JS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752363
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 26976017843272882218484, 376784654400003, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 351024200978405737331936554489915859007093, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.JT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752364
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 26976017843272882218484, 93405312004, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 351024200978405737331936554489915859007093, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.JU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752365
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 26976017843272882218484, 174356582640, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 351024200978405737331936554489915859007093, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.JV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752366
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 147, 351024200978405737307208539190276831420213, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.JW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752367
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 51704034189238258375104, 351024200978405737307208539190276831420213, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.JX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752368
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704033477769953325360, 351024200978405737307208539190276831420213, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 93405312243, 526270820517725411750251243876461600, 26976017843447238800788, 174436416000], 'label': '17006112.cy.36._.JY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752369
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 51704033477769953325360, 51704034189319209645600, 147, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 351024200978405737331936554489915859007093, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.JZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.JZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.JZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752370
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [174356582640, 814856786616884339039057432930637600, 51704033477769953325360, 51704034189319209645600, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 351024200978405737331936554489915859007093, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752371
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 9148311951999292012883781484804, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 361653651526300294518413550921071466496053, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.3._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752372
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9148311951999292012883745196947, 93405312004, 814856786616884339039057432850803907, 351025270760874545447899280973823795145013, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.18._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.B', 'projective_image': None, '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: 156752373
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 93405312004, 51704033477769953325360, 51704034189319209645600, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 351024200978405737331936554489915859007093, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752374
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 51704033477769953325360, 147, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752375
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 93405312004, 51704033477769953325360, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752376
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 51704033477769953325360, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752377
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361652581743831486402450824437082615295333, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 371691566675961649733081322097248714975954, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752378
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361652581743831486402450824437082615295333, 51704034189238258375104, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 371691566675961649733081322097248714975954, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752379
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361652581743831486402450824437082615295333, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 371691566675961649733081322097248714975954, 93405312243, 526270820517725411750251243876461600, 26976017843447238800788, 174436416000], 'label': '17006112.cy.36._.KH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752380
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 814856786616884339039057432930637600, 361652581743831486402450824437082615295333, 51704034189319209645600, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752381
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 174356582640, 814856786616884339039057432930637600, 361652581743831486402450824437082615295333, 51704034189319209645600, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752382
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 814856786616884339039057432930637600, 93405312004, 361652581743831486402450824437082615295333, 51704034189319209645600, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752383
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 351025270760874545447899280973823795145013, 255592630993789486043776458404171880721227, 1341127607522338287723334178490359044, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907], 'label': '17006112.cy.18._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.C', 'projective_image': None, '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: 156752384
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 361652581743831486402450824437082615295333, 147, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752385
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 93405312004, 361652581743831486402450824437082615295333, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752386
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 361652581743831486402450824437082615295333, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752387
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 371690496928861551178749261074142976187973, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024744481515492459711667184750772412674, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752388
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 371690496928861551178749261074142976187973, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909180680903204, 351024744481515492459711667184750772412674, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752389
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 376784654400003, 418829647187403284152400784, 814856786616884339039057432850803907, 351024744481515492459711667184750772412674, 9146650338351415815219556496640, 371690496928861551178749261074142976187973], 'label': '17006112.cy.36._.KQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752390
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024200978405737331936554489915859007093, 17683523987479403909261632173364, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752391
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 174356582640, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024200978405737331936554489915859007093, 17683523987479403909261632173364, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752392
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 93405312004, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024200978405737331936554489915859007093, 17683523987479403909261632173364, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.KT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752393
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 376784654400003, 418829647187403284152400784, 147, 814856786616884339039057432850803907, 9146650338351415815045199914384], 'label': '17006112.cy.36._.KU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752394
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9148311951999292012883745196947, 148609565505906098603225038742143866481440, 814856786616884339039057432850803907, 351025270760874545447899280973823795145013, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.18._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.D', 'projective_image': None, '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: 156752395
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 93405312004, 376784654400003, 418829647187403284152400784, 814856786616884339039057432850803907, 9146650338351415815045199914384], 'label': '17006112.cy.36._.KV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752396
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 376784654400003, 418829647187403284152400784, 814856786616884339039057432850803907, 174356582640, 9146650338351415815045199914384], 'label': '17006112.cy.36._.KW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752397
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361652581743831486402450824437082615295333, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 17683523987479404285697450029508, 526270820517725411750251243876461600, 371691311767963370190497954803546525403970, 174436416000], 'label': '17006112.cy.36._.KX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752398
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361652581743831486402450824437082615295333, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909180680903204, 93405312243, 17683523987479404285697450029508, 526270820517725411750251243876461600, 371691311767963370190497954803546525403970, 174436416000], 'label': '17006112.cy.36._.KY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752399
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [93405312243, 361652581743831486402450824437082615295333, 51704034189238258374964, 271371359918493563542057094602752000, 17683523987479404285697450029508, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432850803907, 9146650338351415815219556496640, 371691311767963370190497954803546525403970], 'label': '17006112.cy.36._.KZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.KZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.KZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752400
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361652581743831486402450824437082615295333, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752401
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [174356582640, 361652581743831486402450824437082615295333, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752402
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [93405312004, 361652581743831486402450824437082615295333, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752403
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 361652581743831486402450824437082615295333, 814856786616884339039057432850803907, 147, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752404
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 93405312004, 361652581743831486402450824437082615295333, 814856786616884339039057432850803907, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752405
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9148311951999292012883745196947, 814856786616884339039057432850803907, 351025270760874545447899280973823795145013, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 255592104732115230876465040693497960721324, 17683523987479403909261632173364, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.18._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.E', 'projective_image': None, '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: 156752406
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 174356582640, 361652581743831486402450824437082615295333, 814856786616884339039057432850803907, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752407
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024200987552387670287970304880027691477, 93405312243, 526270820517725411750251243876461600, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.36._.LG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752408
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909180680903204, 351024200987552387670287970304880027691477, 93405312243, 526270820517725411750251243876461600, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.36._.LH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752409
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9146650338351415815219556496640, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024200987552387670287970304880027691477, 93405312243, 526270820517725411750251243876461600, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.36._.LI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752410
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 371690496911178027191269857164962338840837, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 147, 418829647187403284152400784, 814856786616884339039057432850803907], 'label': '17006112.cy.36._.LJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752411
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 371690496911178027191269857164962338840837, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 418829647187403284152400784, 814856786616884339039057432850803907, 174356582640], 'label': '17006112.cy.36._.LK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752412
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 371690496911178027191269857164962338840837, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 93405312004, 418829647187403284152400784, 814856786616884339039057432850803907], 'label': '17006112.cy.36._.LL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752413
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 351024200978405737331936554489915859007093, 147, 418829647187403284152400784, 814856786616884339039057432850803907, 9146650338351415815045199914384], 'label': '17006112.cy.36._.LM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752414
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 351024200978405737331936554489915859007093, 93405312004, 418829647187403284152400784, 814856786616884339039057432850803907, 9146650338351415815045199914384], 'label': '17006112.cy.36._.LN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752415
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 351024200978405737331936554489915859007093, 418829647187403284152400784, 814856786616884339039057432850803907, 174356582640, 9146650338351415815045199914384], 'label': '17006112.cy.36._.LO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752416
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 351025270760874545447899280973823795145013, 1341127607522338287723334178490359044, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907, 255592376085790399945246855700451432721323], 'label': '17006112.cy.18._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.F', 'projective_image': None, '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: 156752417
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 371690496911178027191269857541491525720933, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649706105304630586130656050, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752418
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400148, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 371690496911178027191269857541491525720933, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649706105304630586130656050, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752419
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 814856786616884339039057432850803907, 711468305049744, 51704034189238258374964, 45600, 371690496911178027191269857541491525720933, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649706105304630586130656050, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752420
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376610297817844, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024200978405737331936554489915859007093, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752421
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [174356582640, 17683523987479403909180680903107, 376610297817844, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024200978405737331936554489915859007093, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752422
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 93405312004, 376610297817844, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 351024200978405737331936554489915859007093, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752423
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 17683523987479403909180680903107, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 418829647187403284152400784, 711549256320240, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752424
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 17683523987479403909180680903107, 93405312004, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 418829647187403284152400784, 711549256320240, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752425
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 174356582640, 17683523987479403909180680903107, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 371690496911178027191269857164962338840837, 20666295932772708688980490078504988736003, 418829647187403284152400784, 711549256320240, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752426
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 361652581743831486402450824437082615295333, 376784654400003, 814856786616884339039057432850803907, 147, 371691566675961649706105304295902400137570, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752427
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9148311951999292012883745196947, 814856786616884339039057432850803907, 351025270760874545447899280973823795145013, 148609565505905679800556180062336660977440, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.18._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.G', 'projective_image': None, '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: 156752428
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 93405312004, 361652581743831486402450824437082615295333, 376784654400003, 814856786616884339039057432850803907, 371691566675961649706105304295902400137570, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.LZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.LZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.LZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752429
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361652581743831486402450824437082615295333, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 376784654400003, 418829647187403284152400784, 814856786616884339039057432850803907, 174356582640], 'label': '17006112.cy.36._.MA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752430
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 1341127607522338287723334178533985280, 51704033477769953325360, 147, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.MB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752431
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 814856786616884339039057432930637600, 17683523987479403909180680903107, 51704034189319209645600, 376784654400003, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.MC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752432
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 191767538747919553560241391951685704488467, 376784654400003, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.MD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752433
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [201806276995194979922524775748465966090363, 17683523987479403909180680903107, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.ME', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.ME', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.ME', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752434
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 93405312004, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 174436416000], 'label': '17006112.cy.36._.MF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752435
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [376784654400003, 1341127607134558036640770729353761428, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.MG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752436
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 174356582640, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.MH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752437
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 361652581743831486402450824437082615295333, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.MI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752438
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9148311951999292012883745196947, 255592376085790399945246855700451432721228, 814856786616884339039057432850803907, 351025270760874545447899280973823795145013, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.18._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.H', 'projective_image': None, '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: 156752439
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 51704033477769953325360, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649733081322097248714975954, 93405312243, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.MJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752440
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 1341127607522338287723334178533985280, 376784654400003, 147, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 191767810101594722629018341154622903006787, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.MK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752441
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 174356582640, 1341127607522338287723334178533985280, 376784654400003, 191767283839920467461709477991057568478787, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.ML', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.ML', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.ML', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752442
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 93405312004, 376784654400003, 418829647187403284152400784, 9148311951999292012883745196947, 9146650338351415815045199914384], 'label': '17006112.cy.36._.MM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752443
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 1341127607522338287723334178533985280, 20666295950456232676459893987417784365508, 20666295932772708662004473323042824237360, 20666567304131401718270558043274317888003, 10628380765426555705140557012818059264000, 45600, 20666295932772708688980490078504988736148, 418829647187403284152400784, 191767810083911617444212662105876042543283, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.MN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752444
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [376784654400003, 814856786616884339039057432850803907, 147, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 201806276995194979922524775748466045969323, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.MO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752445
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 201806276977511037132376513159665013777323, 376784654400003, 418829647187403284152400784, 814856786616884339039057432850803907, 174356582640, 9146650338351415815045199914384], 'label': '17006112.cy.36._.MP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752446
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 371690751819177968241857702563411972053813, 93405312243, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 26976018178130889450244, 147, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.36._.MQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752447
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 26976017843272882218484, 93405312004, 376784654400003, 361652836651831008650364945351627825544773, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.MR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752448
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 26976017843272882218484, 174356582640, 1341127607522338287723334178533985280, 51704033477769953325360, 351024455886405259579850675404635462172533, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.MS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752449
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9148311951999292012883745196947, 814856786616884339039057432850803907, 351025270760874545447899280973823795145013, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.18._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.I', 'projective_image': None, '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: 156752450
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 17683524014455421752360034304148, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 1341127607522338287723334178490359044, 26976018178130889450244, 147, 418829647187403284152400784], 'label': '17006112.cy.36._.MT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752451
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 1341127607522338287723334178533985280, 376784654400003, 351024455886405259579850675404635462172533, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.MU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752452
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 376784654400003, 418829647187403284152400784, 174356582640, 201806531885508928894703930705171850193323], 'label': '17006112.cy.36._.MV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752453
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [17683523987479403909180680903107, 93405312004, 1341127607522338287723334178533985280, 51704033477769953325360, 51704034189319209645600, 351024455886405259579850675404635462172533, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 201806531885508928894703930705171850193323, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.MW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752454
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [17683523987479403909180680903107, 51704034189319209645600, 361652836651831008650364945351627825544773, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 201806531885508928894703930705171850193323, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.MX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752455
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 174356582640, 361652836651831008650364945351627825544773, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 17683523987479403909261632173364, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.MY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752456
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784], 'label': '17006112.cy.36._.MZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.MZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.MZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752457
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 17683523987479403909180680903107, 711468305049744, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 1341127607522338287723710695303111683, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371690751819177549439186532626790404053573, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752458
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [26976017843272882218484, 93405312004, 376784654400003, 361652836651831008650364945351627825544773, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 201806531885508928894703930705171850193323, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752459
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 376784654400003, 418829647187403284152400784, 174356582640], 'label': '17006112.cy.36._.NC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752460
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 93405312004, 376784654400003, 418829647187403284152400784, 814856786616884339039057432850803907, 201806276986047523001248552175041172497323, 9146650338351415815045199914384], 'label': '17006112.cy.18._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752461
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 17683523987479403909180680903107, 93405312004, 1341127607522338287723334178533985280, 51704033477769953325360, 51704034189319209645600, 351024455886405259579850675404635462172533, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.ND', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.ND', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.ND', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752462
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 17683523987479403909180680903107, 51704034189319209645600, 361652836651831008650364945351627825544773, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752463
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 376784654400003, 51704034189238258375104, 351024455886404871799597280872997179336917, 1341127607134558036640770729353761428, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.NF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752464
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 1341127607522338287723334178533985280, 51704033477769953325360, 361652836651831008650364945351627825544773, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 26976017843447238800788, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.NG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752465
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 9148311951999292012883781484804, 10629721893032883680254943484291170849284, 20666295950456232676459893987417784365508, 376784654400003, 20666295932772708662004473323042824237360, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752466
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629721893032883680254943484291170849284, 20666295950456232676459893987417784365508, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 10628380774573673215286461218564004128003, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752467
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629721893032883680254943484291170849284, 20666295950456232676459893987417784365508, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 10628380774573673215286461218564004128003, 10628380765426555705140557012818059264000, 147, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752468
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 1341127607522338287723334178533985280, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 10628380774573673215286461218564004128003, 147, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752469
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 1341127607522338287723334178533985280, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 10628380774573673215286461218564004128003, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752470
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 1341127607522338287723334178533985280, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 10628380774573673215286461218564004128003, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752471
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 376784654400003, 418829647187403284152400784, 9148311951999292012883745196947, 174356582640, 814856786616884339039057432930637600], 'label': '17006112.cy.18._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752472
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [9148311951999292012883781484804, 1341127607522338287723334178533985280, 20666295950456232676459893987417784365508, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752473
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [9148311951999292012883781484804, 1341127607522338287723334178533985280, 20666295950456232676459893987417784365508, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 147, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752474
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [9148311951999292012883781484804, 1341127607522338287723334178533985280, 20666295950456232676459893987417784365508, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752475
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752476
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752477
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 147, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752478
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 20667110789559294472219391529533333939908, 20667637060380231025020211956860422087683, 376784654400003, 10628380765426555680412541336649764973363, 147, 45600, 271371359918493563542057094602752000, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752479
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 10628380765426555680412541336649764973363, 20667637060380231025020211956860422087683, 20667110789559294472219391529533333939908, 376784654400003, 418829647187403284152400784, 20666295932772708688980490078504988736148, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.NU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752480
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 93405312243, 271371359918493563542057094602752000, 45600, 10628380765426555705140556636301290137744, 174436416000, 526270820517725411750251243876461600, 10628380765426555680412541336649764973363, 20667637060380231025020211956860422087683, 20667110789559294472219391529533333939908, 376784654400003, 418829647187403284152400784, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.NV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752481
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [17683523987479403909180680903107, 20667110789559294472219391529533333939908, 20667637060380231025020211956860422087683, 376784654400003, 10628380765426555680412541336649764973363, 10628380774573673215286461218564004128003, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752482
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 74157170456011021753596671170283637317165, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 9148311951999292012883781484804, 418829647187403284152400784, 376784654400003, 814856786616884339039057432850803907, 255592376085790399945246855700451432721323], 'label': '17006112.cy.3._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752483
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 148609565505906098603225038742143866481440, 376784654400003, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907, 9146650338351415815045199914384, 371691566693646835307232583648776789878373], 'label': '17006112.cy.18._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752484
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [17683523987479403909180680903107, 20667110789559294472219391529533333939908, 20667637060380231025020211956860422087683, 376784654400003, 10628380765426555680412541336649764973363, 10628380774573673215286461218564004128003, 147, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752485
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [17683523987479403909180680903107, 20667110789559294472219391529533333939908, 20667637060380231025020211956860422087683, 376784654400003, 10628380765426555680412541336649764973363, 10628380774573673215286461218564004128003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752486
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 9148311951999292012883781484804, 20667110789559294472219391529533333939908, 20667637060380231025020211956860422087683, 376784654400003, 10628380765426555680412541336649764973363, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.NZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.NZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.NZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752487
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 9148311951999292012883781484804, 20667110789559294472219391529533333939908, 20667637060380231025020211956860422087683, 376784654400003, 10628380765426555680412541336649764973363, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752488
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 9148311951999292012883781484804, 20667110789559294472219391529533333939908, 20667637060380231025020211956860422087683, 376784654400003, 10628380765426555680412541336649764973363, 147, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752489
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 9148311951999292012883781484804, 17683523987479403909180680903107, 20667637060380231025020211956860422087683, 20666295932772708662004473323042824237360, 147, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752490
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 9148311951999292012883781484804, 17683523987479403909180680903107, 20667637060380231025020211956860422087683, 20666295932772708662004473323042824237360, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752491
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 9148311951999292012883781484804, 17683523987479403909180680903107, 20667637060380231025020211956860422087683, 20666295932772708662004473323042824237360, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752492
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [93405312243, 271371359918493563542057094602752000, 45600, 10628380765426555705140556636301290137744, 174436416000, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 20667637060380231025020211956860422087683, 20666295932772708688980490455034219161604, 20666295932772708662004473323042824237360, 418829647187403284152400784, 10628380783110079692619960545469509741504, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.OF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752493
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 20667637060380231025020211956860422087683, 20666295932772708688980490455034219161604, 20666295932772708662004473323042824237360, 147, 418829647187403284152400784, 10628380783110079692619960545469509741504, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.OG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752494
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [51704033477769953325360, 271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 93405312004, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 9148311951999292012883781484804, 418829647187403284152400784, 814856786616884339039057432930637600], 'label': '17006112.cy.18._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752495
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 20667637060380231025020211956860422087683, 20666295932772708688980490455034219161604, 20666295932772708662004473323042824237360, 418829647187403284152400784, 20666295932772708688980490078504988736148, 10628380783110079692619960545469509741504, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.OH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752496
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 20666295950456232676459893987417784365508, 20667637060380231025020211956860422087683, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752497
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 20666295950456232676459893987417784365508, 20667637060380231025020211956860422087683, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752498
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 20666295950456232676459893987417784365508, 20667637060380231025020211956860422087683, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 147, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752499
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 10628380783110079692619960545469509741504, 10629721893032883680254943484291170849284, 376784654400003, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 147, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752500
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 10628380783110079692619960545469509741504, 10629721893032883680254943484291170849284, 376784654400003, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752501
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 10628380783110079692619960545469509741504, 10629721893032883680254943484291170849284, 376784654400003, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.ON', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.ON', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.ON', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752502
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 9148311951999292012883781484804, 10629721893032883680254943484291170849284, 20666295950456232676459893987417784365508, 376784654400003, 20666295932772708662004473323042824237360, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752503
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 9148311951999292012883781484804, 10629721893032883680254943484291170849284, 20666295950456232676459893987417784365508, 376784654400003, 20666295932772708662004473323042824237360, 147, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752504
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752505
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 17683523987479403909180680903107, 51704034189319209645600, 147, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 1341127607522338287723334178454116403, 361653651526300294518413550921071466496053, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752506
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 10629721893032883680254943484291170849284, 376784654400003, 20666295932772708662004473323042824237360, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752507
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 10629721893032883680254943484291170849284, 376784654400003, 20666295932772708662004473323042824237360, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752508
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 10629721893032883680254943484291170849284, 376784654400003, 20666295932772708662004473323042824237360, 147, 45600, 271371359918493563542057094602752000, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752509
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 1341127607522338287723334178533985280, 20666295950456232676459893987417784365508, 20666295932772708662004473323042824237360, 10628380765426555705140557012818059264000, 147, 45600, 271371359918493563542057094602752000, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752510
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 1341127607522338287723334178533985280, 20666295950456232676459893987417784365508, 20666295932772708662004473323042824237360, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752511
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 1341127607522338287723334178533985280, 20666295950456232676459893987417784365508, 20666295932772708662004473323042824237360, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752512
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752513
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 10628380765426555705140557012818059264000, 147, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752514
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.OZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.OZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.OZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752515
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 10628380783110079692619960545469509741504, 9148311951999292012883781484804, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752516
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 376784654400003, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907, 255592376085790399945246855700451432721323, 9146650338351415815045199914384, 371691566693646835307232583648776789878373], 'label': '17006112.cy.18._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752517
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 10628380783110079692619960545469509741504, 9148311951999292012883781484804, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752518
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 10628380783110079692619960545469509741504, 9148311951999292012883781484804, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 10628380765426555705140557012818059264000, 147, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752519
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 9148311951999292012883781484804, 1341127607522338287723334178533985280, 20666295950456232676459893987417784365508, 20666295932772708662004473323042824237360, 10628380765426555705140557012818059264000, 147, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752520
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 9148311951999292012883781484804, 1341127607522338287723334178533985280, 20666295950456232676459893987417784365508, 20666295932772708662004473323042824237360, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752521
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 9148311951999292012883781484804, 1341127607522338287723334178533985280, 20666295950456232676459893987417784365508, 20666295932772708662004473323042824237360, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752522
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 20666295941921020562299731146688354604800, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752523
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 10628380765426555705140557012818059264000, 147, 45600, 271371359918493563542057094602752000, 20666295941921020562299731146688354604800, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752524
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 20666295941921020562299731146688354604800, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752525
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 10628380783110079692619960545469509741504, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752526
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 10628380783110079692619960545469509741504, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752527
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [26976017843272882218484, 93405312004, 376784654400003, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 371691566693646835307232583648776789878373, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752528
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 10628380783110079692619960545469509741504, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 10628380765426555705140557012818059264000, 147, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752529
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 20667637060380231025020211956860422087683, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 147, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752530
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 20667637060380231025020211956860422087683, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752531
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 20667637060380231025020211956860422087683, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752532
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 10628380765426555705140556636301290137744, 174436416000, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 20667637060380231025020211956860422087683, 20666295932772708688980490455034219161604, 9148311951999292012883781484804, 20666295932772708662004473323042824237360, 418829647187403284152400784, 10628380783110079692619960545469509741504], 'label': '17006112.cy.36._.PP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752533
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 20666295932772708688980490078330632153844, 174436416000, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 20667637060380231025020211956860422087683, 20666295932772708688980490455034219161604, 9148311951999292012883781484804, 147, 20666295932772708662004473323042824237360, 418829647187403284152400784, 10628380783110079692619960545469509741504], 'label': '17006112.cy.36._.PQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752534
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 20666295932772708688980490078330632153844, 174436416000, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 20667637060380231025020211956860422087683, 20666295932772708688980490455034219161604, 9148311951999292012883781484804, 20666295932772708662004473323042824237360, 418829647187403284152400784, 20666295932772708688980490078504988736148, 10628380783110079692619960545469509741504], 'label': '17006112.cy.36._.PR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752535
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 271371359918493563542057094602752000, 45600, 20666295932772708688980490078330632153844, 174436416000, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 20667637060380231025020211956860422087683, 20666295932772708688980490455034219161604, 20666295932772708662004473323042824237360, 418829647187403284152400784, 20666295932772708688980490078504988736148, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.PS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752536
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 271371359918493563542057094602752000, 45600, 10628380765426555705140556636301290137744, 174436416000, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 20667637060380231025020211956860422087683, 20666295932772708688980490455034219161604, 20666295932772708662004473323042824237360, 418829647187403284152400784, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.PT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752537
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 271371359918493563542057094602752000, 45600, 20666295932772708688980490078330632153844, 174436416000, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 20667637060380231025020211956860422087683, 20666295932772708688980490455034219161604, 20666295932772708662004473323042824237360, 147, 418829647187403284152400784, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.PU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752538
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 376784654400003, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907, 255592376085790399945246855700451432721228, 9146650338351415815045199914384, 371691566693646835307232583648776789878373], 'label': '17006112.cy.18._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752539
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 20666295932772708688980490078330632153844, 174436416000, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 376784654400003, 147, 20666295932772708662004473323042824237360, 418829647187403284152400784, 10628380783110079692619960545469509741504, 20666295941921020562299731146688354604800, 10629721893032883680254943484291170849284], 'label': '17006112.cy.36._.PV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752540
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 20666295932772708688980490078330632153844, 174436416000, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 376784654400003, 20666295932772708662004473323042824237360, 418829647187403284152400784, 20666295932772708688980490078504988736148, 10628380783110079692619960545469509741504, 20666295941921020562299731146688354604800, 10629721893032883680254943484291170849284], 'label': '17006112.cy.36._.PW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752541
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 10628380765426555705140556636301290137744, 20666295932772708688980490078330632153844, 174436416000, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 376784654400003, 20666295932772708662004473323042824237360, 418829647187403284152400784, 10628380783110079692619960545469509741504, 20666295941921020562299731146688354604800, 10629721893032883680254943484291170849284], 'label': '17006112.cy.36._.PX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752542
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 271371359918493563542057094602752000, 45600, 10628380774573673215286461218564004128003, 174436416000, 20666295932772708688980490078330632153844, 10628380765426555705140556636301290137744, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 376784654400003, 20666295932772708662004473323042824237360, 418829647187403284152400784, 10629721893032883680254943484291170849284], 'label': '17006112.cy.36._.PY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752543
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 10629721893032883680254943484291170849284, 20666295950456232676459893987417784365508, 376784654400003, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 147, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.PZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.PZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.PZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752544
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 271371359918493563542057094602752000, 45600, 10628380774573673215286461218564004128003, 174436416000, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 376784654400003, 20666295932772708662004473323042824237360, 418829647187403284152400784, 20666295932772708688980490078504988736148, 10629721893032883680254943484291170849284], 'label': '17006112.cy.36._.QA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752545
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 20666295932772708688980490078330632153844, 174436416000, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 17683523987479403909180680903107, 9148311951999292012883781484804, 20666295932772708662004473323042824237360, 376784654400003, 418829647187403284152400784, 20666295932772708688980490078504988736148, 10629721893032883680254943484291170849284], 'label': '17006112.cy.36._.QB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752546
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 10628380765426555705140556636301290137744, 174436416000, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 17683523987479403909180680903107, 9148311951999292012883781484804, 20666295932772708662004473323042824237360, 376784654400003, 418829647187403284152400784, 10629721893032883680254943484291170849284], 'label': '17006112.cy.36._.QC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752547
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 9148311951999292012883781484804, 17683523987479403909180680903107, 10629721893032883680254943484291170849284, 376784654400003, 20666295932772708662004473323042824237360, 147, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.QD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752548
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [9148311951999292012883781484804, 20666295950456232676459893987417784365508, 20667110789559294472219391529533333939908, 20667637060380231025020211956860422087683, 376784654400003, 10628380765426555680412541336649764973363, 147, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.QE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752549
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [9148311951999292012883745196947, 17683524039183438098232121386243, 371691566693646835307232584025480376921653, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 814856786616884336727800606034266404, 418829647187403284152400784, 376703703129843, 265630291253137747316988141639602280675964, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.18._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752550
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 271371359918493563542057094602752000, 45600, 20666295932772708688980490078330632153844, 174436416000, 526270820517725411750251243876461600, 10628380765426555680412541336649764973363, 20667637060380231025020211956860422087683, 20667110789559294472219391529533333939908, 9148311951999292012883781484804, 376784654400003, 418829647187403284152400784, 20666295932772708688980490078504988736148], 'label': '17006112.cy.36._.QF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752551
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 271371359918493563542057094602752000, 45600, 10628380765426555705140556636301290137744, 174436416000, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 10628380765426555680412541336649764973363, 20667637060380231025020211956860422087683, 20667110789559294472219391529533333939908, 9148311951999292012883781484804, 376784654400003, 418829647187403284152400784], 'label': '17006112.cy.36._.QG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752552
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 10628380765426555705140556636301290137744, 20666295932772708688980490078330632153844, 174436416000, 526270820517725411750251243876461600, 10628380765426555680412541336649764973363, 20667637060380231025020211956860422087683, 17683523987479403909180680903107, 20667110789559294472219391529533333939908, 376784654400003, 418829647187403284152400784, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.QH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752553
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 20666295932772708688980490078330632153844, 174436416000, 526270820517725411750251243876461600, 10628380765426555680412541336649764973363, 20667637060380231025020211956860422087683, 17683523987479403909180680903107, 20667110789559294472219391529533333939908, 376784654400003, 147, 418829647187403284152400784, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.QI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752554
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 20666295932772708688980490078330632153844, 174436416000, 526270820517725411750251243876461600, 10628380765426555680412541336649764973363, 20667637060380231025020211956860422087683, 17683523987479403909180680903107, 20667110789559294472219391529533333939908, 376784654400003, 418829647187403284152400784, 20666295932772708688980490078504988736148, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.QJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752555
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 10628380774573673215286461218564004128003, 174436416000, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 10628380765426555680412541336649764973363, 20667637060380231025020211956860422087683, 20667110789559294472219391529533333939908, 376784654400003, 418829647187403284152400784, 20666295932772708688980490078504988736148, 10628380783110079692619960545469509741504], 'label': '17006112.cy.36._.QK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752556
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 10628380774573673215286461218564004128003, 174436416000, 20666295932772708688980490078330632153844, 10628380765426555705140556636301290137744, 526270820517725411750251243876461600, 10628380765426555680412541336649764973363, 20667637060380231025020211956860422087683, 20667110789559294472219391529533333939908, 376784654400003, 418829647187403284152400784, 10628380783110079692619960545469509741504], 'label': '17006112.cy.36._.QL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752557
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 20667110789559294472219391529533333939908, 20667637060380231025020211956860422087683, 376784654400003, 10628380765426555680412541336649764973363, 10628380774573673215286461218564004128003, 147, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.QM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752558
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 1341127607522338287723334178533985280, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 147, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 20666295941921020562299731146688354604800, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.QN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752559
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 1341127607522338287723334178533985280, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 20666295941921020562299731146688354604800, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.QO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752560
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [9148311951999292012883745196947, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566693646835307232583648776789878373, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752561
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 1341127607522338287723334178533985280, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 20666295941921020562299731146688354604800, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.QP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752562
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 20666295950456232676459893987417784365508, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 10628380774573673215286461218564004128003, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.QQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752563
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.QR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752564
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.QS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752565
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.QT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752566
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.QU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752567
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.QV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752568
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 10628380774573673215286461218564004128003, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 376784654400003, 418829647187403284152400784, 814856786616884339039057432850803907, 20666295932772708688980490078504988736148], 'label': '17006112.cy.36._.QW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752569
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 10628380774573673215286461218564004128003, 174436416000, 10628380765426555705140556636301290137744, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 376784654400003, 418829647187403284152400784, 814856786616884339039057432850803907], 'label': '17006112.cy.36._.QX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752570
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 20666295950456232676459893987417784365508, 376784654400003, 10628380774573673215286461218564004128003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.QY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752571
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 191767538747919553560241391951685704488467, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752572
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 20667637060380231025020211956860422087683, 10628380774573673215286461218564004128003, 814856786616884339039057432850803907, 10628380765426555705140557012818059264000, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.QZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.QZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.QZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752573
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 20667637060380231025020211956860422087683, 10628380774573673215286461218564004128003, 814856786616884339039057432850803907, 10628380765426555705140557012818059264000, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752574
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 20667637060380231025020211956860422087683, 10628380774573673215286461218564004128003, 814856786616884339039057432850803907, 10628380765426555705140557012818059264000, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752575
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [9148311951999292012883781484804, 20666295950456232676459893987417784365508, 20667637060380231025020211956860422087683, 814856786616884339039057432850803907, 10628380765426555705140557012818059264000, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752576
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [9148311951999292012883781484804, 20666295950456232676459893987417784365508, 20667637060380231025020211956860422087683, 814856786616884339039057432850803907, 10628380765426555705140557012818059264000, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752577
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [9148311951999292012883781484804, 20666295950456232676459893987417784365508, 20667637060380231025020211956860422087683, 814856786616884339039057432850803907, 10628380765426555705140557012818059264000, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752578
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [17683523987479403909180680903107, 20667637060380231025020211956860422087683, 814856786616884339039057432850803907, 10628380765426555705140557012818059264000, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752579
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [17683523987479403909180680903107, 20667637060380231025020211956860422087683, 814856786616884339039057432850803907, 10628380765426555705140557012818059264000, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752580
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [17683523987479403909180680903107, 20667637060380231025020211956860422087683, 814856786616884339039057432850803907, 10628380765426555705140557012818059264000, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752581
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490455034219161604, 147, 418829647187403284152400784, 814856786616884339039057432850803907, 20666295941921020562299731146688354604800, 10629721893032883680254943484291170849284], 'label': '17006112.cy.36._.RI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752582
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [201806276995194979922524775748465966090363, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752583
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490455034219161604, 418829647187403284152400784, 814856786616884339039057432850803907, 20666295932772708688980490078504988736148, 20666295941921020562299731146688354604800, 10629721893032883680254943484291170849284], 'label': '17006112.cy.36._.RJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752584
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 10628380765426555705140556636301290137744, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490455034219161604, 418829647187403284152400784, 814856786616884339039057432850803907, 20666295941921020562299731146688354604800, 10629721893032883680254943484291170849284], 'label': '17006112.cy.36._.RK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752585
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [17683523987479403909180680903107, 10629721893032883680254943484291170849284, 10628380774573673215286461218564004128003, 814856786616884339039057432850803907, 20666295932772708688980490455034219161604, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752586
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [17683523987479403909180680903107, 10629721893032883680254943484291170849284, 10628380774573673215286461218564004128003, 814856786616884339039057432850803907, 147, 20666295932772708688980490455034219161604, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752587
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [17683523987479403909180680903107, 10629721893032883680254943484291170849284, 10628380774573673215286461218564004128003, 814856786616884339039057432850803907, 20666295932772708688980490455034219161604, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752588
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 9148311951999292012883781484804, 10629721893032883680254943484291170849284, 814856786616884339039057432850803907, 20666295932772708688980490455034219161604, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752589
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 9148311951999292012883781484804, 10629721893032883680254943484291170849284, 814856786616884339039057432850803907, 20666295932772708688980490455034219161604, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752590
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 9148311951999292012883781484804, 10629721893032883680254943484291170849284, 814856786616884339039057432850803907, 147, 20666295932772708688980490455034219161604, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752591
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 10629721893032883680254943484291170849284, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 10628380765426555705140557012818059264000, 147, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752592
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 10629721893032883680254943484291170849284, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752593
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 74157170456011021753596671170283600983805, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 351025270760874545447899280973823795145013, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784, 9148311951999292012883745196947, 814856786616884339039057432850803907, 255592104732115230876465040693497960721324], 'label': '17006112.cy.3._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752594
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 51704034189238258374964, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 93405312004, 376784654400003, 418829647187403284152400784, 814856786616884339039057432850803907, 9146650338351415815045199914384], 'label': '17006112.cy.18._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752595
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 10629721893032883680254943484291170849284, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752596
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 10629721893032883680254943484291170849284, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 10628380765426555705140556636301290137744, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752597
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 20666567304131401718270558043274317888003, 10628380765426555705140557012818059264000, 147, 45600, 418829647187403284152400784, 191767283831384400395501188226413400834163, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752598
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 9148311951999292012883781484804, 1341127607522338287723334178533985280, 20666295950456232676459893987417784365508, 20666295932772708662004473323042824237360, 20666567304131401718270558043274317888003, 10628380765426555705140557012818059264000, 147, 45600, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752599
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 20666567304131401718270558043274317888003, 10628380765426555705140557012818059264000, 147, 45600, 20666295941921020562299731146688354604800, 418829647187403284152400784, 191767810083911617444212662105876042543283, 10628380765426555705140556636382241408240, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752600
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 20666567304131401718270558043274317888003, 10628380765426555705140557012818059264000, 45600, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752601
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 10629721893032883680254943484291170849284, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 10628380765426555705140557012818059264000, 147, 45600, 271371359918493563542057094602752000, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.RZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.RZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.RZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752602
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 10629721893032883680254943484291170849284, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.SA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752603
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '36T64614', 'count': 12, 'diagramx': None, 'generators': [10629721893032883680254943484291170849284, 20666295950456232676459893987417784365508, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 10628380774573673215286461218564004128003, 10628380765426555705140557012818059264000, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.SB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752604
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 376784654400003, 361652836651831008650364945351627825544773, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 223384864817999466112314043444771008794909, 20666295932772708688980490078504988736003, 418829647187403284152400784, 74157170456011021753596671170283557402925, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.SC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752605
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 191767810101594722629018341154622903006787, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752606
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 223384864817999466112314043444771008794909, 1341127607522338287723334178490359044, 74157170456011021753596671170283557402925, 418829647187403284152400784], 'label': '17006112.cy.36._.SD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752607
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 376784654400003, 74157170456011021753596671170283600983805, 361652836651831008650364945351627825544773, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 95736844507278659254777469580642288656642, 174436416000], 'label': '17006112.cy.36._.SE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752608
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 74157170456011021753596671170283600983805, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 1341127607522338287723334178490359044, 418829647187403284152400784, 95736844507278659254777469580642288656642], 'label': '17006112.cy.36._.SF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752609
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 376784654400003, 74157170456011021753596671170283637317165, 361652836651831008650364945351627825544773, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 234013245601108739118603683823255007515001, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.SG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752610
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 74157170456011021753596671170283637317165, 526270820517725411750251243876461600, 244051160759918406283022744468199944475001, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 1341127607522338287723334178490359044, 418829647187403284152400784], 'label': '17006112.cy.36._.SH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752611
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 10629721893032883680254943484291170849284, 20666295932772708662004473323042824237360, 20666567304131401718270558043274317888003, 10628380765426555705140557012818059264000, 147, 45600, 361653651508615108917286271568022683884850, 418829647187403284152400784, 271371359530688582131179839664237600, 271371359918493563542057269039168000, 10628380765426555705140556636382241408240], 'label': '17006112.cy.36._.SI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752612
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 10628380765426555705140557012818059264000, 45600, 361652836651831008650364945351627825544773, 174436416000, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666567304131401718270558043274317888003, 20666295932772708662004473323042824237360, 418829647187403284152400784, 191767810083911617444212662105876042543283, 20666295932772708688980490078504988736148], 'label': '17006112.cy.36._.SJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752613
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 17683523987479403909180680903107, 376784654400003, 418829647187403284152400784, 9148311951999292012883745196947, 174356582640], 'label': '17006112.cy.36._.SK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752614
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 9148311951999292012883781484804, 17683523987479403909180680903107, 93405312004, 1341127607522338287723334178533985280, 51704033477769953325360, 51704034189319209645600, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.SL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752615
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 17683523987479403909180680903107, 51704034189319209645600, 147, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.SM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752616
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [174356582640, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 191767283839920467461709477991057568478787, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752617
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 376784654400003, 51704034189238258375104, 1341127607134558036640770729353761428, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 9147924171748208361449650509363, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.SN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752618
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 9148311951999292012883781484804, 1341127607522338287723334178533985280, 51704033477769953325360, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 26976017843447238800788, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.SO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752619
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1341127607941140958893647316871111923, 93405312243, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 9148730754670462284176546173440, 20666295932772708688980490078504988736003, 26976018178130889450244, 147, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.36._.SP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752620
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 26976017843272882218484, 93405312004, 376784654400003, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.SQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752621
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 26976017843272882218484, 174356582640, 9148311951999292012883781484804, 1341127607522338287723334178533985280, 51704033477769953325360, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.SR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752622
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 17683524014455421752360034304148, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843272882218484, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 26976018178130889450244, 147, 418829647187403284152400784, 9148311951999292012883745196947], 'label': '17006112.cy.36._.SS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752623
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 9148311951999292012883781484804, 1341127607522338287723334178533985280, 376784654400003, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.ST', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.ST', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.ST', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752624
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 526270820936555061492913011470400003, 271371359918468835525711316044486964, 526279359471739157305883675051884804, 814856786616884339039057432850803907, 147, 45600, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.SU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752625
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [17683523987479403909180680903107, 361653125264625153324934996664271003884850, 526270820936555061492913011470400003, 271371359918468835525711316044486964, 361652581743831486402450824437082615295333, 814856786616884339039057432850803907, 147, 45600, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.SV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752626
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 174356582640, 9148311951999292012883825030640, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 17683523987479403909261632173364, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.SW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752627
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 147, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 201806276995194979922524775748466045969323, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752628
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784, 9148311951999292012883745196947], 'label': '17006112.cy.36._.SX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752629
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 17683523987479403909180680903107, 711468305049744, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 1341127607522338287723710695303111683, 20666295932772708688980490078504988736003, 418829647187403284152400784, 9148311951999292347554978092800, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.SY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752630
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [806634631153204606767213600, 376784654400003, 147, 51704034189238258374964, 45600, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 1086228146116471821032588847993203907, 418829647187403284152400784, 271362823044844435553963145939655107, 93405312243, 361652836669512871078143258406281399807333, 174436416000], 'label': '17006112.cy.36._.SZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.SZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.SZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752631
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [93405312243, 361652581743831486402450824437082615295333, 371691566675962037513332405037133676768054, 45600, 174436416000, 526270820517725411750251243876461600, 10628380765426555680412541336649764973363, 20666567304131401718270558043274317888003, 17683523987479403909180680903107, 376784654400003, 147, 814856786616884339039057432850803907, 271371359111858937255368053481552784], 'label': '17006112.cy.36._.TA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752632
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 526270820517725411750251243876416000, 271371359918493563542057094602752000, 418829647187403284152320000, 361652581743831486402450824437082615249733, 51704034189238258410484, 174436416000, 80883, 20666295932772708688980490078504988736003, 93405357507, 17683523987479403909180680903107, 376784654400003, 814856786616884339039057432850803907], 'label': '17006112.cy.36._.TB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752633
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 351024200978405318504537368542280407192934, 20667110789559294472219391529533333939908, 20666295932772708662004473323042824237360, 10628380765426555705140557012818059264000, 147, 20666295932772708688980490078330552320003, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 418829647187403284152400784, 10628380765426555705140556636382241408240, 526270820517725411750251069440045600], 'label': '17006112.cy.36._.TC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752634
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 351024200978405318504537368542280407192934, 20667110789559294472219391529533333939908, 10628380765426555680412541336649764973363, 20666295932772708688980490455034219161604, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736148, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.TD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752635
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 51704034189238258374964, 20666822203593614219373894539050201152003, 191767538747919553560241391951685784286787, 45600, 20666295932772708688980490078330632153844, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 376784654400003, 418829647187403284152400784, 20666295932772708688980490078504988736148, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.TE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752636
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 174356582640, 814856786616884339039057432930637600, 17683523987479403909180680903107, 51704034189319209645600, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 201806276995194979922524775748466045969323, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.TF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752637
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 17683523987479403909180680903107, 93405312004, 51704033477769953325360, 51704034189319209645600, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 201806276995194979922524775748466045969323, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.TG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752638
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [361653651508615108917286271568022683884850, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 201806276977511037132376513159665013777323, 376784654400003, 418829647187403284152400784, 814856786616884339039057432850803907, 174356582640, 9146650338351415815045199914384], 'label': '17006112.cy.18._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752639
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [814856786616884339039057432930637600, 17683523987479403909180680903107, 51704034189319209645600, 147, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 201806276995194979922524775748466045969323, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.TH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752640
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [376784654400003, 51704034189238258375104, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 201806276995194979922524775748466045969323, 93405312243, 526270820517725411750251243876461600, 17683524039183438098406477968784, 174436416000], 'label': '17006112.cy.36._.TI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752641
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [51704033477769953325360, 93405312243, 201806276995194979922524775748466045969323, 814856787423467258981011877238589584, 271371359918493563542057094602752000, 371691566675961649733081322097248714975954, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524039183438098406477968784], 'label': '17006112.cy.36._.TJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752642
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 93405312243, 201806276995194979922524775748466045969323, 271371359918493563542057094602752000, 351025270743189359898476034722109140780610, 45600, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 26976018178130889450244, 147, 17683524039183438098406477968784, 418829647187403284152400784], 'label': '17006112.cy.36._.TK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752643
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 26976017843272882218484, 93405312004, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 201806276995194979922524775748466045969323, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.TL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752644
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 51704033477769953325360, 371691566675961649706105304295902400137570, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 201806276995194979922524775748466045969323, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.TM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752645
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [26976017843272882218484, 147, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 26976018178130889450244, 418829647187403284152400784, 17683524014455421752360034304148, 201806276995194979922524775748466045969323, 814856786616884339039057432887091764, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.TN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752646
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [351025270743189359846772001620856043637810, 376784654400003, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 201806276995194979922524775748466045969323, 17683523987479403909261632173364, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.TO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752647
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1341127607941165694714507577962867907, 1341127607522338287723334178533985280, 806634631153204606767213600, 376784654400003, 526279359471739157305883675051884804, 147, 51704034189238258374964, 45600, 20666295932772708688980490078504988736003, 418829647187403284152400784, 271362823044844435553963145939655107, 93405312243, 174436416000], 'label': '17006112.cy.36._.TP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752648
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [93405312243, 45600, 174436416000, 526270820517725411750251243876461600, 10629195622213172510799544749289142042304, 10628380765426555680412541336649764973363, 20666567304131401718270558043274317888003, 20667637060380231025020211956860422087683, 17683523987479403909180680903107, 9148311951999292012883781484804, 147, 376784654400003, 271371359111858937255368053481552784], 'label': '17006112.cy.36._.TQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752649
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 17683524014455421752453439616000, 147, 255592376085790399945246855700451432721323, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 1341127607134558036640770729433514387, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566693646416504561414423704354773573, 9146650390055449292989509696244, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752650
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [174356582640, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 418829647187403284152400784, 201806276995194979922524775748466045969323, 17683523987479403909261632173364, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.TR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752651
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [201806276995194979922524775748466045969323, 17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 371691566675961649706105304295902400137570, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 93405312004, 418829647187403284152400784, 814856786616884339039057432850803907], 'label': '17006112.cy.36._.TS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752652
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [17683523987479403909180680903107, 814856786616884339039057432850803907, 711468305049744, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566675961649706105304630586130656050, 201806276995194979922524775748466045969323, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.TT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752653
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [10629195622213172510799544749289142042304, 17683523987479403909180680903107, 20666295932772708662004473323042824237360, 20666567304131401718270558043274317888003, 10628380765426555705140557012818059264000, 147, 45600, 361653651508615108917286271568022683884850, 418829647187403284152400784, 201806276995194979922524775748466045969323, 271371359530688582131179839664237600, 271371359918493563542057269039168000, 10628380765426555705140556636382241408240], 'label': '17006112.cy.36._.TU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752654
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 20666295932772708662004473323042824237360, 814856786616884339039057432850803907, 10628380765426555705140557012818059264000, 147, 45600, 361653651508615108917286271568022683884850, 418829647187403284152400784, 201806276995194979922524775748466045969323, 10628380765426555705140556636382241408240, 526270820517725411750251243876461600, 526270820936555061492578246832192000, 20666822203593614219373894539050201152003], 'label': '17006112.cy.36._.TV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752655
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [526270820517725411750251243876416000, 271371359918493563542057094602752000, 418829647187403284152320000, 51704034189238258410484, 174436416000, 1341127607522338287723334178533985280, 80883, 20666295932772708688980490078504988736003, 93405357507, 17683523987479403909180680903107, 9148311951999292012883781484804, 376784654400003, 814856786616884339039057432850803907], 'label': '17006112.cy.36._.TW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752656
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [9148311951999292012883781484804, 10629721893032883680254943484291170849284, 20666295950456232676459893987417784365508, 20666295932772708662004473323042824237360, 814856786616884339039057432850803907, 10628380765426555705140557012818059264000, 147, 20666295932772708688980490078330552320003, 45600, 271371359918493563542057094602752000, 418829647187403284152400784, 10628380765426555705140556636382241408240, 526270820517725411750251069440045600], 'label': '17006112.cy.36._.TX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752657
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [17683523987479403909180680903107, 271371359111858937255368053481552784, 1341127607522338287723334178533985280, 20667110789559294472219391529533333939908, 376784654400003, 10628380765426555680412541336649764973363, 20666567304131401718270558043274317888003, 147, 45600, 371691566675962037513332405037133676768054, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.TY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752658
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 361653125264625153324934996664271003884850, 526270820936555061492913011470400003, 271371359918468835525711316044486964, 814856786616884339039057432850803907, 147, 45600, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.36._.TZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.TZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.TZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752659
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 201806005632371935156776450501970633635867, 10628380765426555705140557012818059264000, 45600, 361652836651831008650364945351627825544773, 20666295932772708688980490078330632153844, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666567304131401718270558043274317888003, 20666295932772708662004473323042824237360, 418829647187403284152400784, 20666295932772708688980490078504988736148], 'label': '17006112.cy.36._.UA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752660
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [271371359918493563542057094602752000, 45600, 174436416000, 51704034189319209645600, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 9148311951999292012883825030640, 17683523987479403909180680903107, 26976018178130889450244, 361653651526300294518413550921071466496053, 418829647187403284152400784, 174356582640, 1341127607522338287723334178454116403, 814856786616884339039057432930637600], 'label': '17006112.cy.18._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752661
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [806634631153204606767213600, 376784654400003, 147, 51704034189238258374964, 45600, 361653651508615108917286271568022683884850, 20666295932772708688980490078504988736003, 1086228146116471821032588847993203907, 418829647187403284152400784, 271362823044844435553963145939655107, 1086228145728743266178654282928737280, 93405312243, 174436416000], 'label': '17006112.cy.36._.UB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752662
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [17683524039183438098232121386243, 244051160750771755919943312642047455434365, 74157170456011021753596671170283600983805, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 376703703129843, 371690751819177549439183978079600910937413, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.36._.UC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752663
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [93405312243, 361652581743831486402450824437082615295333, 20666822203593614219373894539050201152003, 351025270743188941095804865162097790764853, 45600, 174436416000, 526270820517725411750251243876461600, 526270821324360040591863829364816784, 20666295932772708688980490455034219161604, 17683523987479403909180680903107, 20666295932772708662004473323042824237360, 147, 814856786616884339039057432850803907], 'label': '17006112.cy.36._.UD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752664
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [20666822203593614219373894539050201152003, 10628380765426555705140557012818059264000, 191767538747919553560241391951685784286787, 45600, 10628380765426555705140556636301290137744, 174436416000, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 17683523987479403909180680903107, 20666295932772708662004473323042824237360, 418829647187403284152400784, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.UE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752665
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [20666822203593614219373894539050201152003, 191767538747919553560241391951685784286787, 45600, 10628380774573673215286461218564004128003, 174436416000, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 20667637060380231025020211956860422087683, 20666295932772708688980490455034219161604, 17683523987479403909180680903107, 20666295932772708662004473323042824237360, 418829647187403284152400784, 20666295932772708688980490078504988736148], 'label': '17006112.cy.36._.UF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752666
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [20666822203593614219373894539050201152003, 191767538747919553560241391951685784286787, 45600, 10628380774573673215286461218564004128003, 20666295932772708688980490078330632153844, 10628380765426555705140556636301290137744, 174436416000, 526270820517725411750251243876461600, 10628380765426555680412541336649764973363, 20667637060380231025020211956860422087683, 376784654400003, 418829647187403284152400784, 10628380783110079692619960545469509741504], 'label': '17006112.cy.36._.UG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752667
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 20666295950456232676459893987417784365508, 20667637060380231025020211956860422087683, 10628380774573673215286461218564004128003, 10628380765426555705140557012818059264000, 147, 51704034189238258374964, 45600, 418829647187403284152400784, 20666295932772708688980490078330632153844, 526270820517725411750251243876461600, 20666822203593614219373894539050201152003, 174436416000], 'label': '17006112.cy.36._.UH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752668
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [51704034189238258374964, 20666822203593614219373894539050201152003, 45600, 20666295932772708688980490078330632153844, 1341127607522338287723334178533985280, 20666295932772708688980490455034219161604, 20667110789559294472219391529533333939908, 9148311951999292012883781484804, 147, 806634631153204606767213600, 271371359918493563542057269039168000, 10628380783110079692619960545469509741504, 271371359111858937255368053481552784], 'label': '17006112.cy.36._.UI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752669
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [93405312243, 20666822203593614219373894539050201152003, 191767538747919553560241391951685784286787, 45600, 10628380774573673215286461218564004128003, 174436416000, 10628380765426555705140556636301290137744, 526270820517725411750251243876461600, 10628380765426555680412541336649764973363, 20667637060380231025020211956860422087683, 17683523987479403909180680903107, 376784654400003, 418829647187403284152400784], 'label': '17006112.cy.36._.UJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752670
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 10628380783110079692619960545469509741504, 20667637060380231025020211956860422087683, 10628380774573673215286461218564004128003, 10628380765426555705140557012818059264000, 147, 51704034189238258374964, 45600, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 20666822203593614219373894539050201152003, 174436416000], 'label': '17006112.cy.36._.UK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752671
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [371691311785648555791625234156327429999173, 9148311951999292012883781484804, 255592376085790399945246855700451432721228, 814865933654951227388898060765092644, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752672
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 20666295950456232676459893987417784365508, 20667637060380231025020211956860422087683, 20666295932772708662004473323042824237360, 10628380774573673215286461218564004128003, 20666295932772708688980490455034219161604, 45600, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 20666822203593614219373894539050201152003, 174436416000], 'label': '17006112.cy.36._.UL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752673
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 9148311951999292012883781484804, 17683523987479403909180680903107, 10629721893032883680254943484291170849284, 10628380765426555680412541336649764973363, 10628380765426555705140557012818059264000, 45600, 20666295932772708688980490078504988736148, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 20666822203593614219373894539050201152003, 174436416000], 'label': '17006112.cy.36._.UM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752674
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [93405312243, 51704034189238258374964, 20666822203593614219373894539050201152003, 191767538747919553560241391951685784286787, 45600, 10628380765426555705140556636301290137744, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490455034219161604, 9148311951999292012883781484804, 418829647187403284152400784, 10628380783110079692619960545469509741504, 10629721893032883680254943484291170849284], 'label': '17006112.cy.36._.UN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752675
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 9148311951999292012883781484804, 10629721893032883680254943484291170849284, 20666295950456232676459893987417784365508, 376784654400003, 20666295932772708662004473323042824237360, 147, 45600, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 20666822203593614219373894539050201152003, 174436416000], 'label': '17006112.cy.36._.UO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752676
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [191767538747919553560241391951685784286787, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 10628380765426555680412541336649764973363, 147, 20666295932772708688980490455034219161604, 45600, 20666295941921020562299731146688354604800, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 20666822203593614219373894539050201152003, 174436416000], 'label': '17006112.cy.36._.UP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752677
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [93405312243, 51704034189238258374964, 20666822203593614219373894539050201152003, 191767538747919553560241391951685784286787, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 376784654400003, 418829647187403284152400784, 20666295932772708688980490078504988736148, 10628380783110079692619960545469509741504, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.UQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752678
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 93405312243, 20666822203593614219373894539050201152003, 10628380765426555705140557012818059264000, 191767538747919553560241391951685784286787, 45600, 10628380765426555705140556636301290137744, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708662004473323042824237360, 418829647187403284152400784, 20666295941921020562299731146688354604800], 'label': '17006112.cy.36._.UR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.UR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.UR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752679
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 361652836651831008650364945351627825544773, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.48._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752680
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 159561936761990369864944550022091560585025, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.48._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752681
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526279359052936493697171148425642384, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.48._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752682
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [371691311785648555791625234156327429999173, 9148311951999292012883781484804, 814865933654951227388898060765092644, 814856786616884339039057432850803907, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752683
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883781484804, 17683523987479403909180680903107, 376784654400003, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.48._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752684
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [526270820517725411750251243876416000, 271371359918493563542057094602752000, 20666295932772708688980490078504988781603, 20666295932772708688980490078330632153844, 174436496784, 74157696735368413128138721107067558964669, 376784654400003, 20666295932772708662004473323042824237360, 255591816137004142968113757482822099029683, 20666295932772708688980490078504988736148, 10628380783110079692619960545469509741504, 418829647187403284152365600], 'label': '17006112.cy.48._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752685
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 74157170456011021753596671170283600983805, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 137981184722796825493519648182969464121748, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.48._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752686
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 74157170456011021753596671170283637317165, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 265629731304350296001409722947333984405684, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.48._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752687
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [526270820517725411750251243876416000, 271371359918493563542057094602752000, 20666295932772708688980490078504988781603, 20666295932772708688980490078330632153844, 265629731304350296001409722947333984405684, 174436496784, 74157696735368413128138721107067558964669, 376784654400003, 147, 20666295932772708662004473323042824237360, 10628380783110079692619960545469509741504, 418829647187403284152365600], 'label': '17006112.cy.48._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752688
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 20666295932772708688980490078504988781603, 174436496784, 74157425373155951607552881554059197573069, 376784654400003, 20666295932772708662004473323042824237360, 147, 271371359918493563542057094602752000, 276258112069775626296228840424460733167280, 526270820517725411750251243876416000, 20666295932772708688980490078330632153844, 418829647187403284152365600], 'label': '17006112.cy.48._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752689
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [526270820517725411750251243876416000, 271371359918493563542057094602752000, 74157170456011021753596671170283600983805, 20666295932772708688980490078504988781603, 20666295932772708688980490078330632153844, 174436496784, 376784654400003, 147, 20666295932772708662004473323042824237360, 255591816137004142968113757482822099029683, 10628380783110079692619960545469509741504, 418829647187403284152365600], 'label': '17006112.cy.48._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752690
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 20666295932772708688980490078504988781603, 174436496784, 376784654400003, 20666295932772708662004473323042824237360, 74157170456011021753596671170283600983805, 271371359918493563542057094602752000, 265629731304350296001409722947333984405684, 10628380765426555705140556636301290137744, 526270820517725411750251243876416000, 20666295932772708688980490078330632153844, 418829647187403284152365600], 'label': '17006112.cy.48._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752691
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 20666295932772708688980490078504988781603, 174436496784, 376784654400003, 20666295932772708662004473323042824237360, 74157696735368413128138721107067558964669, 271371359918493563542057094602752000, 276258112069775626296228840424460733167280, 10628380765426555705140556636301290137744, 526270820517725411750251243876416000, 20666295932772708688980490078330632153844, 418829647187403284152365600], 'label': '17006112.cy.48._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752692
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [526270820517725411750251243876416000, 271371359918493563542057094602752000, 20666295932772708688980490078504988781603, 20666295932772708688980490078330632153844, 10628380765426555705140556636301290137744, 174436496784, 74157425373155951607552881554059197573069, 376784654400003, 20666295932772708662004473323042824237360, 255591816137004142968113757482822099029683, 10628380783110079692619960545469509741504, 418829647187403284152365600], 'label': '17006112.cy.48._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752693
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 376784654400003, 147, 9148311951999292012883825030640, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683524014455421752360034304148, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 371691566693646835307232583648776789878373, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752694
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 20666295932772708688980490078504988781603, 174436496784, 74157425373155951607552881554059197573069, 376784654400003, 20666295932772708662004473323042824237360, 271371359918493563542057094602752000, 265629731304350296001409722947333984405684, 20666295932772708688980490078504988736148, 526270820517725411750251243876416000, 20666295932772708688980490078330632153844, 418829647187403284152365600], 'label': '17006112.cy.48._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752695
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 20666295932772708688980490078504988781603, 174436496784, 376784654400003, 20666295932772708662004473323042824237360, 74157170456011021753596671170283600983805, 271371359918493563542057094602752000, 276258112069775626296228840424460733167280, 20666295932772708688980490078504988736148, 526270820517725411750251243876416000, 20666295932772708688980490078330632153844, 418829647187403284152365600], 'label': '17006112.cy.48._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752696
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 265629731304350296001409722947333984405824, 74157170456011021753596671170283557402925, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.48._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752697
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [17683523987479403909180680903107, 806634631153204606767213600, 376784654400003, 10628380765426555680412541336649764973363, 74157170456011021753596671170283600983805, 526270820936555061492578072395821600, 265629731304350296001409722947333984405684, 10628380765426555705140556636301290137744, 418829647187403284152400784, 271371359918493563542057269039168000, 20666295932772708688980490078330632153844, 20666822203593614219373894539050201152003], 'label': '17006112.cy.48._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752698
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [20666295950456232676459893987417784365508, 806634631153204606767213600, 10628380765426555680412541336649764973363, 74157170456011021753596671170283600983805, 147, 20666295932772708688980490455034219161604, 526270820936555061492578072395821600, 265629731304350296001409722947333984405684, 418829647187403284152400784, 271371359918493563542057269039168000, 93405312243, 20666822203593614219373894539050201152003], 'label': '17006112.cy.48._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752699
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [10628380783110079692619960545469509741504, 806634631153204606767213600, 10628380765426555680412541336649764973363, 74157170456011021753596671170283600983805, 10628380765426555705140557012818059264000, 526270820936555061492578072395821600, 265629731304350296001409722947333984405684, 20666295932772708688980490078504988736148, 418829647187403284152400784, 271371359918493563542057269039168000, 10628380765426555705140556636382241408240, 20666822203593614219373894539050201152003], 'label': '17006112.cy.48._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752700
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [93405312004, 74157170456011021753596671170283600983805, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 265629731304350296001409722947333984405684, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.48._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752701
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9148311951999292012883745196947, 814856786616884339039057432850803907, 351025270760874545447899280973823795145013, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.54._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '54.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752702
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9148311951999292012883745196947, 1341127607522338287723334178533985280, 376784654400003, 814856786616884339039057432850803907, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566693646835307232583648776789878373, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.54._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '54.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752703
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9148311951999292012883745196947, 17683524039183438098232121386243, 371691566693646835307232584025480376921653, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 814856786616884336727800606034266404, 418829647187403284152400784, 376703703129843, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.54._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '54.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752704
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [223384864817999466112314043444771008795001, 17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 74157170456011021753596671170283600983805, 361652836651831008650364945351627825544773, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.4.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752705
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 1341127607134558036640770729353761428, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 9148730754670462284176546173440, 418829647187403284152400784, 361653651526300294518413550921071466496053, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752706
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17683523987479403909180680903107, 1341127607522338287723334178533985280, 376784654400003, 361652836651831008650364945351627825544773, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.72._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752707
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17683523987479403909261632173364, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784], 'label': '17006112.cy.72._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752708
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 147, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.96._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '96.A', 'projective_image': None, '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': None}
  • id: 156752709
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 376784654400003, 361652836651831008650364945351627825544773, 201806531885508928894703930705171893693563, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.108._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '108.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752710
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9148311951999292012883745196947, 17683524039183438098232121386243, 371691566693646835307232584025480376921653, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 814856786616884336727800606034266404, 418829647187403284152400784, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.162._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '162.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752711
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9148311951999292012883745196947, 361653651526300294518413551632365291548773, 814856786616884339039057432850803907, 9146650338351416526513381584788, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 1341127607522338287723710695303111683, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.162._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '162.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752712
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [371691311785648555791625234156327429999173, 17683524039183438098232121386243, 814865933654951227389274590075387124, 1086210462204755792024001182283628948, 17685185601127280441516175191043, 45600, 271371359918493563542057094602752000, 9146650338351416526594332855187, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.162._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '162.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752713
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [174436416000, 271371359918493563542057094602752000, 45600, 526270820517725411750251243876461600, 418829647187403284152400784, 376703703129843, 17683524039183438098232121386243, 9146650338351416191748786922480, 1341127607522338287723334178490359044, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413], 'label': '17006112.cy.216._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '216.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752714
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [45600, 51704034189238258374964, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 371690751819177549439183978079600910937413, 174436416000, 1341127607522338287723334178490359044, 9146650338351416191748786922480], 'label': '17006112.cy.216._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '216.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752715
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1341127607522338287723334178533985280, 376784654400003, 361652836651831008650364945351627825544773, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.216._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '216.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752716
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [371691311785648555791625234156327429999173, 9148311951999292012883781484804, 148609565505906098603225038742143866481440, 814865933654951227388898060765092644, 814856786616884339039057432850803907, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 17683523987479404285697450029508, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752717
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [93405312004, 45600, 51704034189238258374964, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 17683523987479403909261632173364, 526270820517725411750251243876461600, 174436416000, 9146650338351416191748786922480], 'label': '17006112.cy.288._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752718
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17683523987479403909180680903107, 376784654400003, 45600, 51704034189238258374964, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 93405312243, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.288._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752719
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [371691311785648555791625234156327429999173, 17683524039183438098232121386243, 814865933654951227389274590075387124, 1086210462204755792024001182283628948, 17685185601127280441516175191043, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.486._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '486.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752720
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1086219609242822680374553010624996548, 9148311951999292012883745196947, 371691311785648555791625234156327429999173, 9146650390055449669599691392147, 1341118460484271401928040565836144644, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.486._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '486.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '486._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752721
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17683524039183438098232121386243, 371690751828324199777537948441835603932773, 814865933654951227389274590075387124, 45600, 271371359918493563542057094602752000, 9146650338351416526594332855187, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.648._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '648.A', 'projective_image': None, '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': None}
  • id: 156752722
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [351024455886405259579848364147646779336773, 45600, 51704034189238258374964, 9146650338351416526513381584788, 271371359918493563542057094602752000, 1341127607522338287723710695303111683, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.648._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '648.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752723
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [174436416000, 271371359918493563542057094602752000, 45600, 526270820517725411750251243876461600, 418829647187403284152400784, 17683524039183438098232121386243, 9146650338351416191748786922480, 1341127607522338287723334178490359044, 20666295932772708688980490078504988736003, 371690751819177549439183978079600910937413], 'label': '17006112.cy.648._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '648.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '648._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752724
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [174436416000, 271371359918493563542057094602752000, 45600, 526270820517725411750251243876461600, 418829647187403284152400784, 376703703129843, 17683524039183438098232121386243, 9146650338351416191748786922480, 20666295932772708688980490078504988736003], 'label': '17006112.cy.864._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '864.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '864._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752725
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376784654400003, 9146650338351415815045199914384, 51704034189238258374964, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.864._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '864.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '864._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752726
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [174436416000, 271371359918493563542057094602752000, 45600, 526270820517725411750251243876461600, 418829647187403284152400784, 17683523987479403909261632173364, 9146650338351416191748786922480, 51704034189238258374964, 20666295932772708688980490078504988736003], 'label': '17006112.cy.864._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '864.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '864._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752727
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9148730754670462284176546173440, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 51704034189238258375104, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 376784654400003, 418829647187403284152400784], 'label': '17006112.cy.18._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752728
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [371691311785648555791625234156327429999173, 1341127607134558036640059528933985424, 45600, 814856787423467258981011877238589584, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 2080416319045757756606188800, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.1458._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1458.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1458._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752729
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17683524039183438098232121386243, 371690751828324199777537948441835603932773, 814865933654951227389274590075387124, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.1944._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1944.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752730
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1086219609242822680374553010624996548, 371690751828324199777537948441835603932773, 9146650390055449669599691392147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.1944._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1944.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1944._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752731
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [174436416000, 271371359918493563542057094602752000, 45600, 526270820517725411750251243876461600, 418829647187403284152400784, 17683524039183438098232121386243, 9146650338351416191748786922480, 20666295932772708688980490078504988736003], 'label': '17006112.cy.2592._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2592.A', 'projective_image': None, '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': None}
  • id: 156752732
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [174436416000, 271371359918493563542057094602752000, 45600, 526270820517725411750251243876461600, 418829647187403284152400784, 9146650338351416526513381584788, 51704034189238258374964, 20666295932772708688980490078504988736003], 'label': '17006112.cy.2592._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2592.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2592._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752733
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [17683524039183438098232121386243, 45600, 271371359918493563542057094602752000, 9146650338351416526594332855187, 20666295932772708688980490078504988736003, 418829647187403284152400784, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.2592._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2592.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2592._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752738
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 93405312243, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 9148730754670462284176546173440, 20666295932772708688980490078504988736003, 1341127607134558036640770729353761428, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 376784654400003, 418829647187403284152400784], 'label': '17006112.cy.18._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752739
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [20666295932772289859333302675046400080884, 10628380765426555680417406805727043664883, 20666295932772289859333302675220800173508, 20666295932772289859335857933529841664004, 20666567295594528069137703433666560045508], 'label': '17006112.cy.69984._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '69984.A', 'projective_image': None, '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': None}
  • id: 156752740
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10628380765426555680417406805727043664883, 20666295932772289859333302675220800173508, 20666295932772289859335857933529841664004, 20666567295594528069137703433666560045508], 'label': '17006112.cy.209952._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '209952.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '209952._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752741
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10628380765426555680417406805727043664883, 10628380765425749070514269947341120128003, 526279357391374542293603594993744880, 10628652128247987280318670705961280208883], 'label': '17006112.cy.209952._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '209952.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '209952._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752742
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10628380765426555680417406805727043664883, 526279357391374542293603594993744880, 10628652128247987280318670705961280208883], 'label': '17006112.cy.629856._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '629856.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '629856._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752743
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [20666567295595334679040840292401283757508, 20666295932772289859335857933623326855108, 526279357391374542293603594993744880], 'label': '17006112.cy.629856._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '629856.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '629856._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752744
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10628380765426555680417406805727043664883, 20666295932772289859335857933529841664004, 526279357391374539738345285952128000], 'label': '17006112.cy.629856._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '629856.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '629856._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752745
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [20666567295595334679040840292401283757508, 526279357391374542293603594993744880], 'label': '17006112.cy.1889568._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1889568.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1889568._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752746
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [20666567295595334679040840292401283757508, 20666822212129681233877907200878008409604], 'label': '17006112.cy.1889568._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1889568.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1889568._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752747
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10628380765426555680417406805727043664883, 10628907044783140445058874473079243392003], 'label': '17006112.cy.1889568._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1889568.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1889568._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752748
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [20666822212130487843773866956749546192884], 'label': '17006112.cy.5668704._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5668704.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5668704._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752749
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 9148311951999292012883781484804, 17683523987479403909180680903107, 376784654400003, 147, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 361653651526300294518413550921071466496053, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752750
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [20666567295595334679040840292401283757508], 'label': '17006112.cy.5668704._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5668704.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5668704._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752751
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': '17006112.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '17006112.cy.17006112.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '17006112.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '17006112.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752752
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 17683523987479404285697450029508, 371691311785648555791625234156327429999173, 45600, 814865933654951227388898060765092644, 174436416000, 526270820517725411750251243876461600, 20666295932772708688980490078504988736003, 9148311951999292012883781484804, 418829647187403284152400784, 814856786616884339039057432850803907, 255592376085790399945246855700451432721323], 'label': '17006112.cy.18._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752753
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 9148311951999292012883781484804, 17683523987479403909180680903107, 93405312004, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 361653651526300294518413550921071466496053, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752754
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884336727800606034266404, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 711468305049744, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 418829647187403284152400784, 9148311951999292012883745196947, 371691566693646835307232584025480376921653, 255592376085790399945246855700451432721323, 17683524039183438098232121386243], 'label': '17006112.cy.18._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752755
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884336727800606034266404, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 376703703129843, 1341127607522338287723334178490359044, 418829647187403284152400784, 9148311951999292012883745196947, 371691566693646835307232584025480376921653, 255592376085790399945246855700451432721323, 17683524039183438098232121386243], 'label': '17006112.cy.18._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752756
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856786616884336727800606034266404, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 9146650338351416191748786922480, 20666295932772708688980490078504988736003, 1341127607522338287723334178490359044, 93405312004, 418829647187403284152400784, 9148311951999292012883745196947, 371691566693646835307232584025480376921653, 255592376085790399945246855700451432721323, 17683524039183438098232121386243], 'label': '17006112.cy.18._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752757
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [93405312243, 51704034189238258374964, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 1341127607522338287723334178533985280, 20666295932772708688980490078504988736003, 148609565505906098603225038742143866481440, 17683523987479403909180680903107, 361653651526300294518413550921071466496053, 9148311951999292012883781484804, 418829647187403284152400784, 376784654400003, 814856786616884339039057432850803907], 'label': '17006112.cy.6._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.A', 'projective_image': None, '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': None}
  • id: 156752758
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 17683524039183438098232121386243, 93405312004, 371691566693646835307232584025480376921653, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 814856786616884336727800606034266404, 418829647187403284152400784, 265630291253137747316988141639602280675964, 526270820517725411750251243876461600, 1341127607522338287723334178490359044, 9146650338351416191748786922480, 174436416000], 'label': '17006112.cy.18._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752759
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26976017843272882218484, 174356582640, 9148311951999292012883781484804, 17683523987479403909180680903107, 376784654400003, 45600, 271371359918493563542057094602752000, 20666295932772708688980490078504988736003, 418829647187403284152400784, 1341127607522338287723334178454116403, 814856786616884339039057432887091764, 361653651526300294518413550921071466496053, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752760
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 17683524014455421752453439616000, 51704034189238258375104, 255592376085790399945246855700451432721323, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 1341127607134558036640770729433514387, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566693646416504561414423704354773573, 9146650390055449292989509696244, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752761
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 9146650390055449292989509696244, 20666295932772708688980490078504988736003, 1341127607134558036640770729433514387, 17683524014455421752453439616000, 418829647187403284152400784, 9148311951999292012883745196947, 371691566693646416504561414423704354773573, 255592376085790399945246855700451432721323], 'label': '17006112.cy.18._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752762
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [814856787423467258981011877238589584, 271371359918493563542057094602752000, 45600, 174436416000, 526270820517725411750251243876461600, 26976017843447238800788, 9146650390055449292989509696244, 20666295932772708688980490078504988736003, 1341127607134558036640770729433514387, 17683524014455421752453439616000, 418829647187403284152400784, 9148311951999292012883745196947, 371691566693646416504561414423704354773573, 265630546169672512701472395951444036387963], 'label': '17006112.cy.18._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752763
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 17683524014455421752453439616000, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 1341127607134558036640770729433514387, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566693646416504561414423704354773573, 265630546169672512701472395951444036387963, 9146650390055449292989509696244, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752764
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 17683524014455421752453439616000, 51704034189238258375104, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 1341127607134558036640770729433514387, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566693646416504561414423704354773573, 265630546169672512701472395951444036387963, 9146650390055449292989509696244, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752765
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 276258400655741258177698010828148760923003, 17683524014455421752453439616000, 51704034189238258375104, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 1341127607134558036640770729433514387, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566693646416504561414423704354773573, 9146650390055449292989509696244, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752766
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 276258400655741258177698010828148760923003, 17683524014455421752453439616000, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 1341127607134558036640770729433514387, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566693646416504561414423704354773573, 9146650390055449292989509696244, 526270820517725411750251243876461600, 26976017843447238800788, 174436416000], 'label': '17006112.cy.18._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 156752767
    {'ambient': '17006112.cy', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9148311951999292012883745196947, 276258400655741258177698010828148760923003, 17683524014455421752453439616000, 147, 814856787423467258981011877238589584, 45600, 271371359918493563542057094602752000, 1341127607134558036640770729433514387, 20666295932772708688980490078504988736003, 418829647187403284152400784, 371691566693646416504561414423704354773573, 9146650390055449292989509696244, 526270820517725411750251243876461600, 174436416000], 'label': '17006112.cy.18._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.BY', 'subgroup_fusion': None, 'weyl_group': None}