Abstract group data - 6718464.bbw

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.14', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 48, 'aut_gen_orders': None, 'aut_gens': [[117635899382695670896743841408361219088290, 41385768963436925426803053031375283665226, 21300737289660421092597957053252033099363, 31348116926917302048766235075067323693100], [169892903206436213370601759576862119908620, 33076072994754930527653441167648919823734, 1806928228556912663876426171367267098870, 62616217410280194855565130159644374413438], [370768698898620761773006499343523454790280, 255294427298622306276351395518448527984583, 21587780663367327018626985470200645240600, 938612381543215421184464761842058913270], [340080793413150880529555976021668213227305, 83846140135119008347003917706235027602590, 51710233877449115254444731098873749353609, 10976774490765740574439616348326811189600], [330034746123935881197576249957111636960856, 21587287036339589924225373051551893147916, 62329125761160580019421756689988778468995, 63197481925999922834395242152606643802030], [147445704886478166406124408623764943276241, 21301239404793886179848323231248847617499, 32789523248073306375852531137676299904638, 51710233877447101999417293488623229393562]], 'aut_group': '53747712.ks', 'aut_hash': 5836576575400874840, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 53747712, 'aut_permdeg': 95904, 'aut_perms': None, 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 162, 1, 1], [2, 324, 1, 1], [2, 648, 2, 1], [2, 1296, 1, 1], [2, 2592, 1, 1], [2, 6561, 1, 1], [3, 32, 1, 1], [3, 64, 1, 2], [3, 128, 2, 1], [3, 512, 2, 4], [3, 1024, 1, 2], [4, 324, 1, 1], [4, 648, 1, 1], [4, 5832, 1, 1], [4, 5832, 2, 1], [4, 13122, 1, 2], [4, 23328, 1, 2], [4, 23328, 4, 1], [4, 26244, 1, 2], [4, 52488, 1, 1], [4, 52488, 2, 1], [4, 104976, 1, 1], [4, 209952, 1, 1], [6, 2592, 1, 1], [6, 5184, 1, 3], [6, 10368, 1, 2], [6, 10368, 2, 2], [6, 20736, 1, 2], [6, 41472, 2, 4], [8, 13122, 1, 2], [8, 26244, 1, 3], [8, 26244, 2, 1], [8, 46656, 1, 1], [8, 52488, 1, 5], [8, 104976, 2, 1], [8, 104976, 4, 2], [8, 209952, 1, 1], [8, 419904, 1, 1], [12, 2592, 2, 1], [12, 5184, 2, 1], [12, 10368, 1, 2], [12, 20736, 2, 1], [12, 46656, 1, 1], [12, 46656, 2, 2], [12, 93312, 1, 1], [12, 93312, 2, 1], [12, 186624, 4, 1], [16, 209952, 8, 1], [24, 93312, 2, 2]], 'aut_supersolvable': False, 'aut_tex': 'C_3^8:C_4^2.D_4^2:D_4', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': None, 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': None, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': 53747712, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 162, 1], [2, 324, 1], [2, 648, 2], [2, 1296, 1], [2, 2592, 1], [2, 6561, 1], [3, 32, 1], [3, 64, 2], [3, 128, 2], [3, 512, 8], [3, 1024, 2], [4, 324, 1], [4, 648, 1], [4, 5832, 3], [4, 13122, 2], [4, 23328, 6], [4, 26244, 2], [4, 52488, 3], [4, 104976, 1], [4, 209952, 1], [6, 2592, 1], [6, 5184, 3], [6, 10368, 6], [6, 20736, 2], [6, 41472, 8], [8, 13122, 2], [8, 26244, 5], [8, 46656, 1], [8, 52488, 5], [8, 104976, 10], [8, 209952, 1], [8, 419904, 1], [12, 2592, 2], [12, 5184, 2], [12, 10368, 2], [12, 20736, 2], [12, 46656, 5], [12, 93312, 3], [12, 186624, 4], [16, 209952, 8], [24, 93312, 4]], 'center_label': '1.1', 'center_order': 1, 'central_product': None, 'central_quotient': '6718464.bbw', 'commutator_count': 1, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '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'], 'composition_length': 18, 'conjugacy_classes_known': True, 'counter': 725, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': None, 'direct_product': None, 'div_stats': [[1, 1, 1, 1], [2, 162, 1, 1], [2, 324, 1, 1], [2, 648, 1, 2], [2, 1296, 1, 1], [2, 2592, 1, 1], [2, 6561, 1, 1], [3, 32, 1, 1], [3, 64, 1, 2], [3, 128, 1, 2], [3, 512, 1, 8], [3, 1024, 1, 2], [4, 324, 1, 1], [4, 648, 1, 1], [4, 5832, 1, 1], [4, 5832, 2, 1], [4, 13122, 1, 2], [4, 23328, 1, 6], [4, 26244, 1, 2], [4, 52488, 1, 3], [4, 104976, 1, 1], [4, 209952, 1, 1], [6, 2592, 1, 1], [6, 5184, 1, 3], [6, 10368, 1, 6], [6, 20736, 1, 2], [6, 41472, 1, 8], [8, 13122, 2, 1], [8, 26244, 1, 1], [8, 26244, 2, 2], [8, 46656, 1, 1], [8, 52488, 1, 3], [8, 52488, 2, 1], [8, 104976, 1, 2], [8, 104976, 2, 4], [8, 209952, 1, 1], [8, 419904, 1, 1], [12, 2592, 2, 1], [12, 5184, 2, 1], [12, 10368, 1, 2], [12, 20736, 1, 2], [12, 46656, 1, 1], [12, 46656, 2, 2], [12, 93312, 1, 3], [12, 186624, 1, 4], [16, 209952, 2, 4], [24, 93312, 2, 2]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 48, 'exponents_of_order': [10, 8], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[32, 0, 4], [32, 1, 4], [64, 0, 4], [64, 1, 14], [128, 0, 2], [128, 1, 11], [256, -1, 2], [512, 1, 16], [1024, 1, 2]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '6718464.bbw', 'hash': 5091201899506233364, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 48, 'inner_gen_orders': [16, 12, 8, 8], 'inner_gens': [[117635899382695670896743841408361219088290, 255294427298623036621620451368385223295975, 22169045179087132010619946365936015277272, 1225663712837555534467017287866140439249], [299625496460338886717042557233517717060905, 41385768963436925426803053031375283665226, 63197481925999115733209025763754005925479, 938612381545276502442993693455504364284], [168676448551228310263029154788026839690053, 31347064686513514854967107113822395925729, 21300737289660421092597957053252033099363, 22169045179089100051591676890641300024195], [117037515447711747086613086559388880116716, 10976535771738039642479542172144005703634, 32789523248072052395780221099879311091838, 31348116926917302048766235075067323693100]], 'inner_hash': 5091201899506233364, 'inner_nilpotent': False, 'inner_order': 6718464, 'inner_split': None, 'inner_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 32, 'irrQ_degree': 32, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 16], [2, 20], [4, 14], [8, 11], [32, 8], [64, 18], [128, 13], [256, 2], [512, 16], [1024, 2]], 'label': '6718464.bbw', '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': 'C3^8:C4^2.Q16:C2^2', 'ngens': 4, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 9, 0, 0, 0, 15, 0, 0, 0, 23, 0, 0, 27, 0, 35, 0, 15, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 77, 'number_characteristic_subgroups': 58, 'number_conjugacy_classes': 120, 'number_divisions': 101, 'number_normal_subgroups': 136, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 6718464, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 12231], [3, 6560], [4, 709560], [6, 453600], [8, 2146176], [12, 1337472], [16, 1679616], [24, 373248]], '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': '8.5', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 8, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_2^3', 'pc_rank': None, 'perfect': False, 'permutation_degree': 36, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 16], [2, 12], [4, 10], [8, 7], [16, 2], [32, 5], [64, 16], [128, 11], [256, 4], [512, 16], [1024, 2]], 'representations': {'PC': {'code': '363684519855727186920687131171428705088377058962746720762658457505216907640549625314287683516749894447815515203264858343203604054585081116220949421437420309903985745761588086527276656184666742549549902742840030839753598064881874023983269548275928658539969708281925389633644572181449600806249825479194255863335308891119965644854826612694415589604934276298203491404110273754961924263332841590487900429119562376739454870061301804306954264928153233002206799168064285705026442920992863814334812619732477580715883352333298389103733680721104924745589221675995376370760153404544509399842291244247520978930721860787955820609749662103765701081465918583819247010076617436340114807002148179034642519055764751420916587443613480865308782983772222986700924575587106546275332730181117290221225449747915372183469925947708209139019716285136300241716852568274322606574705574698768169289676281768221923559079286748941062504703', 'gens': [1, 2, 5, 6, 9, 12, 13, 14, 15, 16, 17, 18], 'pres': [18, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 71748864, 102138841, 91, 311462282, 146, 206448195, 40689849, 203041444, 287318182, 102220240, 64258798, 32619676, 518216837, 324278231, 139130825, 82474475, 8185397, 311, 634886790, 217635288, 55389642, 45127212, 35797686, 366, 768264199, 380224537, 212009515, 5402941, 13604047, 836946440, 309707738, 34494380, 14624126, 14595632, 26989298, 14692220, 6860186, 476, 628439049, 592646427, 189457965, 119174463, 38759121, 2070819, 15671637, 716535, 531, 843651082, 627720220, 322679854, 105481792, 73713106, 26376868, 17132662, 3304, 1042219019, 117780509, 60162095, 144930881, 38679635, 27731045, 13817207, 10505, 5344859, 2676413, 1024358412, 311261214, 346664496, 185193282, 83161812, 27159078, 23149272, 33834, 3386604, 8598, 632733709, 400877599, 385394737, 192052291, 13692757, 8846311, 4564345, 109003, 1596829, 2236423, 281733134, 310625312, 409605170, 34352708, 35493206, 37178024, 3663482, 350060, 4179758, 1603976, 1369571343, 211451937, 426000435, 51425349, 50430039, 14183529, 10368123, 1119885, 5090847, 280113, 869216272, 600523810, 314049076, 201441094, 35819224, 20896234, 3314716, 3569326, 3161752, 1421242, 96878609, 183140387, 368603189, 953927, 95240537, 54483947, 21684797, 11337551, 7546769, 1423187]}, 'Perm': {'d': 36, 'gens': [21300737289660421092597957053252033099363, 31348116926917302048766235075067323693100, 41385768963436925426803053031375283665226, 117635899382695670896743841408361219088290]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 24, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

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

  
  
  • id: 166490645
    {'aut_label': '1A', 'centralizer': None, 'counter': 1, 'group_counter': 725, 'group_order': 6718464, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 166490677
    {'aut_label': '2A', 'centralizer': None, 'counter': 2, 'group_counter': 725, 'group_order': 6718464, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 74156610461117549409927380455193835244800, 'size': 162}
  • id: 166490688
    {'aut_label': '2B', 'centralizer': None, 'counter': 3, 'group_counter': 725, 'group_order': 6718464, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 2919937114333780915690310400, 'size': 324}
  • id: 166490699
    {'aut_label': '2C', 'centralizer': None, 'counter': 4, 'group_counter': 725, 'group_order': 6718464, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 243781146556033351079480200837171623895679, 'size': 648}
  • id: 166490710
    {'aut_label': '2C', 'centralizer': None, 'counter': 5, 'group_counter': 725, 'group_order': 6718464, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 245222329800141578670526295784171142610954, 'size': 648}
  • id: 166490721
    {'aut_label': '2E', 'centralizer': None, 'counter': 6, 'group_counter': 725, 'group_order': 6718464, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 203890256238380125334475838460646578726117, 'size': 1296}
  • id: 166490732
    {'aut_label': '2F', 'centralizer': None, 'counter': 7, 'group_counter': 725, 'group_order': 6718464, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 814856794105561604108018714311529796, 'size': 2592}
  • id: 166490743
    {'aut_label': '2G', 'centralizer': None, 'counter': 8, 'group_counter': 725, 'group_order': 6718464, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 20962878091101090885301653468924752239292, 'size': 6561}
  • id: 166490754
    {'aut_label': '3A', 'centralizer': None, 'counter': 9, 'group_counter': 725, 'group_order': 6718464, 'label': '3A', 'order': 3, 'powers': [9, 1], 'representative': 321987, 'size': 32}
  • id: 166490646
    {'aut_label': '3B', 'centralizer': None, 'counter': 10, 'group_counter': 725, 'group_order': 6718464, 'label': '3B', 'order': 3, 'powers': [10, 1], 'representative': 2935368367171969558782171574, 'size': 64}
  • id: 166490657
    {'aut_label': '3C', 'centralizer': None, 'counter': 11, 'group_counter': 725, 'group_order': 6718464, 'label': '3C', 'order': 3, 'powers': [11, 1], 'representative': 20666822212129681233873043999214598720000, 'size': 64}
  • id: 166490668
    {'aut_label': '3D', 'centralizer': None, 'counter': 12, 'group_counter': 725, 'group_order': 6718464, 'label': '3D', 'order': 3, 'powers': [12, 1], 'representative': 52578829318048707155834536184512512321987, 'size': 128}
  • id: 166490670
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  • id: 166490760
    {'aut_label': '12E', 'centralizer': None, 'counter': 95, 'group_counter': 725, 'group_order': 6718464, 'label': '12E', 'order': 12, 'powers': [48, 25], 'representative': 52578829318052030329183119769204367170950, 'size': 20736}
  • id: 166490761
    {'aut_label': '12E', 'centralizer': None, 'counter': 96, 'group_counter': 725, 'group_order': 6718464, 'label': '12F', 'order': 12, 'powers': [49, 25], 'representative': 62885655182451202447671380943483628339699, 'size': 20736}
  • id: 166490762
    {'aut_label': '12G', 'centralizer': None, 'counter': 97, 'group_counter': 725, 'group_order': 6718464, 'label': '12G', 'order': 12, 'powers': [44, 26], 'representative': 83291707024857455304138576515101116541684, 'size': 46656}
  • id: 166490763
    {'aut_label': '12H1', 'centralizer': None, 'counter': 98, 'group_counter': 725, 'group_order': 6718464, 'label': '12H1', 'order': 12, 'powers': [45, 31], 'representative': 193566054720446431674176752265574536825996, 'size': 46656}
  • id: 166490764
    {'aut_label': '12H1', 'centralizer': None, 'counter': 99, 'group_counter': 725, 'group_order': 6718464, 'label': '12H-1', 'order': 12, 'powers': [45, 31], 'representative': 203021406446501320777812926784648444509065, 'size': 46656}
  • id: 166490647
    {'aut_label': '12I1', 'centralizer': None, 'counter': 100, 'group_counter': 725, 'group_order': 6718464, 'label': '12I1', 'order': 12, 'powers': [47, 27], 'representative': 42540659234168659875817540357496479228105, 'size': 46656}
  • id: 166490648
    {'aut_label': '12I1', 'centralizer': None, 'counter': 101, 'group_counter': 725, 'group_order': 6718464, 'label': '12I-1', 'order': 12, 'powers': [47, 28], 'representative': 84489206710398366178596122243181317519305, 'size': 46656}
  • id: 166490649
    {'aut_label': '12J', 'centralizer': None, 'counter': 102, 'group_counter': 725, 'group_order': 6718464, 'label': '12J', 'order': 12, 'powers': [45, 35], 'representative': 233716646155555419777904881023509339189185, 'size': 93312}
  • id: 166490650
    {'aut_label': '12J', 'centralizer': None, 'counter': 103, 'group_counter': 725, 'group_order': 6718464, 'label': '12K', 'order': 12, 'powers': [45, 35], 'representative': 223678476071671383504566049591107657341733, 'size': 93312}
  • id: 166490651
    {'aut_label': '12L', 'centralizer': None, 'counter': 104, 'group_counter': 725, 'group_order': 6718464, 'label': '12L', 'order': 12, 'powers': [44, 31], 'representative': 84784447732589031254539557084388251352480, 'size': 93312}
  • id: 166490652
    {'aut_label': '12M', 'centralizer': None, 'counter': 105, 'group_counter': 725, 'group_order': 6718464, 'label': '12M', 'order': 12, 'powers': [48, 32], 'representative': 328880646041469850491920105326823310227625, 'size': 186624}
  • id: 166490653
    {'aut_label': '12M', 'centralizer': None, 'counter': 106, 'group_counter': 725, 'group_order': 6718464, 'label': '12N', 'order': 12, 'powers': [48, 33], 'representative': 159559492126588412931054400365228394456306, 'size': 186624}
  • id: 166490654
    {'aut_label': '12M', 'centralizer': None, 'counter': 107, 'group_counter': 725, 'group_order': 6718464, 'label': '12O', 'order': 12, 'powers': [49, 34], 'representative': 297541220407746841011589773108984835897108, 'size': 186624}
  • id: 166490655
    {'aut_label': '12M', 'centralizer': None, 'counter': 108, 'group_counter': 725, 'group_order': 6718464, 'label': '12P', 'order': 12, 'powers': [49, 36], 'representative': 106999337149521302788741053919524208534899, 'size': 186624}
  • id: 166490656
    {'aut_label': '16A1', 'centralizer': None, 'counter': 109, 'group_counter': 725, 'group_order': 6718464, 'label': '16A1', 'order': 16, 'powers': [77, 109], 'representative': 147733067624631075283118670064738156291653, 'size': 209952}
  • id: 166490658
    {'aut_label': '16A1', 'centralizer': None, 'counter': 110, 'group_counter': 725, 'group_order': 6718464, 'label': '16A-1', 'order': 16, 'powers': [77, 110], 'representative': 371697015985242069964089488899960325541800, 'size': 209952}
  • id: 166490659
    {'aut_label': '16A1', 'centralizer': None, 'counter': 111, 'group_counter': 725, 'group_order': 6718464, 'label': '16B1', 'order': 16, 'powers': [78, 111], 'representative': 179026412762313764028567568734271591768029, 'size': 209952}
  • id: 166490660
    {'aut_label': '16A1', 'centralizer': None, 'counter': 112, 'group_counter': 725, 'group_order': 6718464, 'label': '16B-1', 'order': 16, 'powers': [78, 112], 'representative': 370768698898619210057354811175426775369673, 'size': 209952}
  • id: 166490661
    {'aut_label': '16A1', 'centralizer': None, 'counter': 113, 'group_counter': 725, 'group_order': 6718464, 'label': '16C1', 'order': 16, 'powers': [78, 113], 'representative': 349537469263800415265757492783000282367173, 'size': 209952}
  • id: 166490662
    {'aut_label': '16A1', 'centralizer': None, 'counter': 114, 'group_counter': 725, 'group_order': 6718464, 'label': '16C-1', 'order': 16, 'powers': [78, 114], 'representative': 106711752111796106493512220473072514799278, 'size': 209952}
  • id: 166490663
    {'aut_label': '16A1', 'centralizer': None, 'counter': 115, 'group_counter': 725, 'group_order': 6718464, 'label': '16D1', 'order': 16, 'powers': [77, 115], 'representative': 309663921726615933245821421232925236362281, 'size': 209952}
  • id: 166490664
    {'aut_label': '16A1', 'centralizer': None, 'counter': 116, 'group_counter': 725, 'group_order': 6718464, 'label': '16D-1', 'order': 16, 'powers': [77, 116], 'representative': 96032332204829437070781645273166508677664, 'size': 209952}
  • id: 166490665
    {'aut_label': '24A1', 'centralizer': None, 'counter': 117, 'group_counter': 725, 'group_order': 6718464, 'label': '24A1', 'order': 24, 'powers': [89, 71], 'representative': 274163293469628974942231174094541682505455, 'size': 93312}
  • id: 166490666
    {'aut_label': '24A1', 'centralizer': None, 'counter': 118, 'group_counter': 725, 'group_order': 6718464, 'label': '24A-1', 'order': 24, 'powers': [90, 71], 'representative': 265280530898955114584157331870945438134986, 'size': 93312}
  • id: 166490667
    {'aut_label': '24B1', 'centralizer': None, 'counter': 119, 'group_counter': 725, 'group_order': 6718464, 'label': '24B1', 'order': 24, 'powers': [93, 71], 'representative': 10629466985042914989953708448148635593796, 'size': 93312}
  • id: 166490669
    {'aut_label': '24B1', 'centralizer': None, 'counter': 120, 'group_counter': 725, 'group_order': 6718464, 'label': '24B5', 'order': 24, 'powers': [93, 71], 'representative': 20667637068923042334951241829395038863839, 'size': 93312}
• group 6718464.bbw does not appear in gps_qchar
• group 6718464.bbw 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: 242400954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6718464, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '6718464.bbw.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': '6718464.bbw', 'subgroup_hash': None, 'subgroup_order': 6718464, 'subgroup_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bfe', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bce', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_4^2.Q_{16}:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bfd', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_4^2.(C_2\\times Q_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 242401388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.eh', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:(C_4^3.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bfz', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3359232, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3359232.bga', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_4^2.Q_{16}:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3359232, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.H', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.H', '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': 3359232, 'subgroup_tex': 'C_3^8.C_4^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242400955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.I', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.I', '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': '3359232.bfe', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242400966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.J', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.J', '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': '3359232.bce', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_4^2.Q_{16}:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.K', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.K', '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': '3359232.bfd', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_4^2.(C_2\\times Q_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 242400988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.L', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.L', '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': '3359232.eh', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:(C_4^3.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242400999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.M', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.M', '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': '3359232.bfz', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3359232, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.N', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.N', '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': '3359232.nq', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8.C_4^2.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3359232, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.2._.O', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.O', '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': '3359232.bga', 'subgroup_hash': None, 'subgroup_order': 3359232, 'subgroup_tex': 'C_3^8:C_4^2.Q_{16}:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.fc', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.fc', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242401099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.yi', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:C_4^2.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.yi', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:C_4^2.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.go', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.sz', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:C_4^2.(C_2\\times Q_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.ep', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:C_4^2.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.yh', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.go', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.sz', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:C_4^2.(C_2\\times Q_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.yh', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.ep', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:C_4^2.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_2.C_2^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.nb', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.ri', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_4\\times C_8).Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.eu', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.ep', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:C_4^2.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.mw', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:C_4^2.(C_2\\times C_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.yh', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.eu', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.ep', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:C_4^2.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.mw', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:C_4^2.(C_2\\times C_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.yh', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1679616, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.ri', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_4\\times C_8).Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.fc', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.yi', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:C_4^2.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.fc', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.yi', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:C_4^2.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1679616, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1679616.nb', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242401393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242401395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.nh', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_4.D_4^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242401397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_4^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.sz', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:C_4^2.(C_2\\times Q_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.sx', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_4\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.re', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_4.D_4^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242401402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.sx', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_4\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.rg', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_4\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.sx', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_4\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8.C_2^3.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242401406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.sx', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_4\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.re', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_4.D_4^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242401408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.xm', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_2\\times D_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.uu', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:\\OD_{32}.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.xm', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_2\\times D_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.ot', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_2\\times D_4).D_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.xm', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_2\\times D_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.uu', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:\\OD_{32}.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.xm', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_2\\times D_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.4._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 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': '1679616.ot', 'subgroup_hash': None, 'subgroup_order': 1679616, 'subgroup_tex': 'C_3^8:(C_2\\times D_4).D_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 839808, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 839808, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 839808, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 839808, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_2^3.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.ek', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.fr', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.ek', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.fr', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 839808, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_2^3.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 839808, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.fr', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.fr', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 839808, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_2.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.ek', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.ek', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.pu', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.or', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:\\OD_{16}.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.pu', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.mx', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(C_2\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.pu', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.or', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:\\OD_{16}.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.pu', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 839808, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839808.mx', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(C_2\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401442
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 839808, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 839808, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242400957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 839808, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 839808, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242400959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242400960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.qx', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242400961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ob', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.D_8', 'supersolvable': False, 'sylow': 0}
  • id: 242400962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.qx', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242400963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ex', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(\\OD_{16}:D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242400965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.fm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.cm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_2^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.fm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.cm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_2^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.sa', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242400971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ex', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(\\OD_{16}:D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242400972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4.(C_4\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242400973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242400975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242400976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ps', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(C_2\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242400978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.os', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(C_2\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242400979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.en', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242400980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.eh', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242400981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ex', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(\\OD_{16}:D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242400983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.fm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.cm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_2^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.fm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.cm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_2^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.sa', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242400989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ex', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(\\OD_{16}:D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242400990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ps', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(C_2\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242400991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.os', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(C_2\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242400992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242400993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242400994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242400995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_2^2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 242400996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.en', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242400997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.eh', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242400998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_2^2:\\SD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_2^2:\\SD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_2^2:\\SD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_2^2:\\SD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.rx', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.qe', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.rx', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.qe', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ob', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.D_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.nt', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_8.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.fr', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ny', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:((C_4\\times C_8):C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.oq', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:\\OD_{16}.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.oq', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:\\OD_{16}.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ny', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:((C_4\\times C_8):C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.en', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.eh', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.mp', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.mz', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:\\OD_{32}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.en', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.eh', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.mp', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.mz', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:\\OD_{32}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.nt', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_8.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.fr', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.oq', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:\\OD_{16}.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ny', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:((C_4\\times C_8):C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ny', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:((C_4\\times C_8):C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.oq', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:\\OD_{16}.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.qx', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ob', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.D_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.qx', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ob', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.D_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_2.C_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242401039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.nt', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_8.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ng', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ne', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:\\OD_{16}.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_2.C_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242401044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.nt', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_8.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ne', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:\\OD_{16}.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ng', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.sa', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_2.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ne', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:\\OD_{16}.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ne', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:\\OD_{16}.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.sa', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_2.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ng', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ng', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.fm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.cm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_2^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ps', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(C_2\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.os', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(C_2\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.cm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_2^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.fm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.ps', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(C_2\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.os', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(C_2\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.cm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_2^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.cm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_2^3.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.pu', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.mx', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(C_2\\times C_8).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.fm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.fm', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.pu', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_4^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.or', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:\\OD_{16}.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_8:Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_2.D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.Q_8:C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.Q_8:C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.Q_8:C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': 839808, 'subgroup_tex': 'C_3^8.Q_8:C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.en', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.qx', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.rz', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(\\OD_{32}:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.pb', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.qx', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.pb', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.rz', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:(\\OD_{32}:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.8._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '839808.en', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:C_2^3.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4:\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401097
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_2^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242401100
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_2^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242401102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.ny', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(C_2\\times C_4).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.mr', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.ny', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(C_2\\times C_4).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.mr', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.dz', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.dd', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.dz', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.dd', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.dz', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.dd', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.dz', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419904.dd', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401115
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_2.C_4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_2.C_4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4:\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dg', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(\\OD_{16}:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242401126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2^2:Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2^2:Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dc', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(C_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.ck', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dg', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(\\OD_{16}:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dc', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(C_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dg', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(\\OD_{16}:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dt', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.\\OD_{32}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dc', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(C_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dg', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(\\OD_{16}:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.ck', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mf', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mf', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dt', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.\\OD_{32}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dt', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.\\OD_{32}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_8:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.Q_8:C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mm', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.D_4:C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_8:C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.Q_8:C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mm', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.D_4:C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_8:C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dc', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(C_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.du', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.cp', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 242401162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dc', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(C_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.cg', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.cp', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.ob', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mf', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.du', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.cp', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.ob', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.me', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.cg', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.cp', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dc', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(C_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.cp', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.du', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dc', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(C_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.cp', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.cg', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.ob', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mf', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.cp', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.du', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.ob', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.me', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.cp', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.cg', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401193
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.(C_2\\times C_4\\times C_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401194
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.(C_2\\times C_4\\times C_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mm', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mm', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.ck', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.ck', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.ny', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(C_2\\times C_4).D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mr', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dt', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.\\OD_{32}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dc', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(C_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2^2:D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2^2:D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.ns', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.ns', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.md', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(\\OD_{16}:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.md', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(\\OD_{16}:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mf', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.me', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dz', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dd', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dg', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(\\OD_{16}:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dg', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(\\OD_{16}:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.md', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(\\OD_{16}:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.md', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(\\OD_{16}:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.me', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mf', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dg', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(\\OD_{16}:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dg', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(\\OD_{16}:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dd', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dz', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.D_4:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2^2:\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.nq', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^2\\wr C_2^2.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.Q_8:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mf', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dz', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.bx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_{16}:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.by', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:D_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:Q_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.Q_8:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.Q_8:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.(C_8\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dz', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mf', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.by', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.bx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_{16}:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:D_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.nw', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:D_4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_8:C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.D_4:C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.nl', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(D_4:D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.nq', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^2\\wr C_2^2.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_8:C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:D_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.nw', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:D_4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_8:C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.ds', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.lx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.ds', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.lx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.(C_8\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.D_4:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.D_4:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.(C_4.D_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.D_4:C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.nq', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^2\\wr C_2^2.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 242401291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.nl', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(D_4:D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_8:C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mw', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.bx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_{16}:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mw', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.bx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_{16}:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.bx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_{16}:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.by', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mg', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(C_2\\times \\OD_{32})', 'supersolvable': False, 'sylow': 0}
  • id: 242401301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dt', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.\\OD_{32}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.bx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_{16}:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.by', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dt', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.\\OD_{32}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mg', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:(C_2\\times \\OD_{32})', 'supersolvable': False, 'sylow': 0}
  • id: 242401306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.Q_8:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.Q_8:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.(C_4.D_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2.C_4:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2.C_4:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.bx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_{16}:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mw', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mw', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.bx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_{16}:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.(C_8.Q_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2.C_4:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.(C_8.Q_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_8:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.mf', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dz', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_2^3.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.(C_8\\times Q_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.lx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dr', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.(C_8\\times Q_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.II', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.lx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dr', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_2^2:Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4\\wr C_2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': 419904, 'subgroup_tex': 'C_3^8.C_4:D_4:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.lx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dr', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.lx', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.16._.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 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': '419904.dr', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '209952.bj', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:(C_2\\times \\OD_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 242401349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.44', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '209952.ch', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:(C_4^2:C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 242401350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.40', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8.C_4:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.40', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8.C_4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '209952.bm', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:(D_4:C_2^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242401353
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8.C_2^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401355
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.40', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '209952.bm', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:(D_4:C_2^2)', 'supersolvable': False, 'sylow': 0}
  • id: 242401357
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.40', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 242401358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.40', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8.C_4:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401359
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '209952.lw', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:(C_2^2\\times C_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401360
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8.C_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 242401361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.40', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8.C_4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '209952.bj', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:(C_2\\times \\OD_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 242401363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.32._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.44', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '209952.ch', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:(C_4^2:C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 242401364
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.64._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.255', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.bl', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8:C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.64._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.129', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.bp', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8:(C_2\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.64._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.129', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.bs', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8:(C_2\\times Q_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.64._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.129', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.bp', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8:(C_2\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401369
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.64._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', '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_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401370
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.64._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.251', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times \\SD_{16}', '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_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 242401371
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.64._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.bq', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8:(C_2^2\\times C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401372
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.64._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.bi', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8:(C_2\\times C_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.64._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.129', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.bs', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8:(C_2\\times Q_8)', 'supersolvable': False, 'sylow': 0}
  • id: 242401374
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 52488, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.128._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.930', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401375
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 52488, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.128._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.930', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '52488.sc', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 242401377
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 52488, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.128._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1730', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '52488.rt', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:(C_2\\times C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401378
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 52488, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.128._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1753', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '52488.rk', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 242401379
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 52488, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.128._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '128.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '52488.rt', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:(C_2\\times C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 242401380
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26244, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.256._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.11184', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times D_4):\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^7.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 242401381
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26244, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.256._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26533', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^8.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401382
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26244, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.256._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '256.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.26558', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.(C_2\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^8.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 242401383
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 13122, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '6718464.bbw.512._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '512.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '512.393612', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^5.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13122, 'subgroup_tex': 'C_3^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 242401384
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6561, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '6718464.bbw.1024.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '1024.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 1024, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:\\OD_{16}.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6561.1396077', 'subgroup_hash': None, 'subgroup_order': 6561, 'subgroup_tex': 'C_3^8', 'supersolvable': True, 'sylow': 3}
  • id: 242401385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '6718464.bbw.6561.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6561.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': 6561, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1024, 'subgroup_tex': 'C_4:\\OD_{16}.C_2^4', 'supersolvable': True, 'sylow': 2}
  • id: 242401386
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '6718464.bbw', 'ambient_counter': 725, 'ambient_order': 6718464, 'ambient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 489, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '6718464.bbw.6718464.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6718464.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '6718464.bbw', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 6718464, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^8:C_4^2.Q_{16}:C_2^2', '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: 242400954
    {'ambient': '6718464.bbw', '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': [376703666980290, 20962878091100235933258515839342491697797, 21210673760395, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.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: 242400955
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 31347064686515564145562614040049851944716, 21210673760395, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.2._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400956
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400957
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400958
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400959
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400960
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 299625496460338886717042557152341831189686, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400961
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 127942709597179776596079976801240281673645, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400962
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 97542184621806380818143535864785165059245, 21210673760395, 31347064686515564145562614040049851944716, 63822384498269430727129924222762399012290, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400963
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400964
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400965
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400966
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.2._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401129
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400967
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.8._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400968
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400969
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400970
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400971
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400972
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400973
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400974
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 31348116926917302048766235135238543047049, 814856796153120012312371399582393801, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400975
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400976
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400977
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 21210673760395, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 814856796153120012312371399582393801, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.2._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400978
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400979
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400980
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.8._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400981
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400982
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400983
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400984
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400985
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400986
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 97542439795052224999333006051245615032120, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400987
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400988
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.2._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400989
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400990
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400991
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400992
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400993
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400994
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400995
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400996
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 127942709597179776596079976801240281673645, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400997
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 127942709597179776596079976801240281673645, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 97542439795052224999333006051245615032120, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400998
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242400999
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.2._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401000
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401001
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401002
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401003
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401004
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401005
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401006
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401007
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401008
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401009
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 117636672851497474501150158471053928999406, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401010
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.2._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401011
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 117636672851497474501150158471053928999406, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401012
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 117636672851497474501150158471053928999406, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401013
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 299625241817598967753936882471465079852613, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401014
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 117636672851497474501150158471053928999406, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401015
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 128525290005503996134648392596467756052206, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401016
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.8._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401017
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [233431165899873716028073558966845339629437, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.8._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401018
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.8._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401019
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 299625496460338886717042557152341831189686, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.8._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401020
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.8._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401021
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.2._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401022
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 814856793794096560084199775078478695, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.8._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401023
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.8._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401024
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.8._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401025
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401026
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401027
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401028
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401029
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401030
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.8._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401031
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401032
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401033
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401034
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.8._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401035
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.8._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401036
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.8._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401037
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [31347064686514275423550121112498945660157, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.8._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401038
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401039
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401040
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401041
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401042
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401043
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 814856796153120012312371399582393801, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401044
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401045
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401046
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401047
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.8._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401048
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 3243086199688518905810681789, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.8._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401049
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.8._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401050
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.8._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401051
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 307875174999237028633277611237840680025400, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401052
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 307875174999237028633277611237840680025400, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401053
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 307875174999237028633277611237840680025400, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401054
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401055
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 276480, 1845584622685684, 307875174999237028633277611237840680025400, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401056
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401057
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401058
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401059
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401060
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401061
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401062
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401063
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401064
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 47177346619370, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.8._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401065
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.2._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401066
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 127942709597179776596079976801240281673645, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401067
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 3243086199688518905810681789, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.8._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401068
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.8._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401069
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.8._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401070
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 307875174999237028633277611237840680025400, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401071
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 307875174999237028633277611237840680025400, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401072
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 307875174999237028633277611237840680025400, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401073
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 276480, 1845584622685684, 307875174999237028633277611237840680025400, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401074
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233431165899873716028073558906674120278665, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 233429858751468248293285255215566712266241, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401075
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 233431165899875720079885341337739494989437, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 233429858751468248293285255215566712266241, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401076
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 233431165899875720079885341337739494989437, 1258350440040947635195968000, 191767283822541364672901627676961738595980, 233429858751468248293285255215566712266241, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401077
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401078
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233431165899873716028073558906674120278665, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541364672901627676961738595980, 233429858751468248293285255215566712266241, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401079
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401080
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31348116926917302048766234740146567489270, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401081
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 31347064686513450818346552554937534639116, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401082
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31348116926917302048766234740146567489270, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 31347064686513450818346552554937534639116, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401083
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241], 'label': '6718464.bbw.8._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401084
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 223106700985858073735103227604521723778919, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100], 'label': '6718464.bbw.8._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401085
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 72654642941820011480343404384139537615520, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 62329125761160519807877740297316181456630, 233429858751468248293285255215566712266241], 'label': '6718464.bbw.8._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401086
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 223106700985858073735103227604521723778919, 10628652128250503819036102992460278548480, 822228046644134973649184189, 72654642941820011480343404384139537615520, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 62329125761160519807877740297316181456630], 'label': '6718464.bbw.8._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401087
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [97230078840781847971908782803517638941299, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 128524237765093225626128895147296008366076, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 180224973184895193211194396878493420501855, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401088
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401089
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 128524237765093225626128895147296008366076, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 180224973184895193211194396878493420501855, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401090
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 128524237765093225626128895147296008366076, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.8._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401091
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [97230078840781847971908782803517638941299, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 128524237765093225626128895147296008366076, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.8._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401092
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.8._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401093
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 31348116926917733833594719565965129988995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.8._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401094
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31348116926917733833594719565965129988995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 31347064686513450818346552554937534639116, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.8._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401095
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 31347064686513450818346552554937534639116, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.8._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401096
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 62329125761160519807877740297316181456630, 233429858751468248293285255215566712266241], 'label': '6718464.bbw.16._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401097
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401098
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401099
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401100
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401101
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401102
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401103
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401104
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401105
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401106
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 117636672851497474501150158471053928999406, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401107
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 128525290005503996134648392596467756052206, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401108
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 127943795798488762033504738688336333341919, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401109
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 309976249807227545542669135157773542700299, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401110
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 127942709597179776596079976801240281673645, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401111
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401112
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.16._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401113
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401114
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 97542439795052224999333006051245615032120, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401115
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401116
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401117
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401118
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241], 'label': '6718464.bbw.16._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401119
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 223106700985858073735103227604521723778919, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100], 'label': '6718464.bbw.16._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401120
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 223106700985858073735103227604521723778919, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 62329125761160519807877740297316181456630], 'label': '6718464.bbw.16._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401121
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401122
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401123
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 127943795798488762033504738688336333341919, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401124
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401125
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401126
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401127
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401128
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401130
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 31347064686515564145562613979972037877729], 'label': '6718464.bbw.16._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401131
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401132
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401133
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401134
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401135
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401136
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 117636672851497474501150158471053928999406, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401137
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 117636672851497474501150158471053928999406, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401138
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401139
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401140
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401141
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.16._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401142
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.16._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401143
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401144
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401145
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401146
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [31347064686514275423550121112498945660157, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401147
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [31347064686514275423550121112498945660157, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401148
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401149
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 31348116926917733833594719565965129988995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401150
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 31347064686513450818346552554937534639116, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401151
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31348116926917733833594719565965129988995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 31347064686513450818346552554937534639116, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401152
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401153
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 31348116926917733833594719565965130042354, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401154
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 127942709597179776596079976801240281673645, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401155
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 31347064686513887044153125417356159203893, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401156
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 31347064686513887044153125417356159203893, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 31348116926917733833594719565965130042354, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401157
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401158
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401159
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401160
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401161
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401162
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401163
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401164
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401165
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401166
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401167
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401168
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401169
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 191767283822541364672901627547570030669507, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401170
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401171
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401172
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401173
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 191767283822541364672901627547570030669507, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401174
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401175
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401176
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.2._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401177
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401178
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401179
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401180
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 97542439795052224999333006051245615032120, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401181
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 3243086199688518905810681789, 97542439795052224999333006051245615032120, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401182
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 97542439795052224999333006051245615032120, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401183
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 97542439795052224999333006051245615032120, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401184
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401185
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401186
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401187
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 191767283822541364672901627547570030669507, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401188
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401189
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 97542439795052224999333006051245615032120, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401190
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 97542439795052224999333006051245615032120, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401191
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 97542439795052224999333006051245615032120, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401192
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 191767283822541364672901627547570030669507, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 97542439795052224999333006051245615032120, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401193
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401194
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401195
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401196
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401197
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401198
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401199
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 127942709597179776596079976801240281673645, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401200
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401201
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401202
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 127942709597179776596079976801240281673645, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401203
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 127943795798488762033504738688336333341919, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401204
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401205
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401206
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 72654371322886092818906198418241748654787, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 62329125761160519807877740297316181456630, 233429858751468248293285255215566712266241], 'label': '6718464.bbw.16._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401207
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 72654371322886092818906198418241748654787, 418829649741950392737872884, 223106700985858073735103227604521723778919, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 62329125761160519807877740297316181456630], 'label': '6718464.bbw.16._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401208
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 117636672851497474501150158471053928999406, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401209
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 128525290005503996134648392596467756052206, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401210
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401211
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 299625241817598967753936882471465079852613, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401212
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [307875174999237028633277611276037708204613, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401213
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 117636672851497474501150158471053928999406, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401214
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 128525290005503996134648392596467756052206, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401215
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 299625241817598967753936882471465079852613, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401216
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [307875174999237028633277611276037708204613, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401217
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401218
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401219
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.16._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401220
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 307875174999237028633277611237840680025400, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401221
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401222
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401223
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401224
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.16._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401225
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 307875174999237028633277611237840680025400, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401226
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401227
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31347064686514275423550121112498945660157, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401228
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401229
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401230
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401231
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 191767283822541364672901627547570030669507, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401232
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401233
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.16._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401234
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 274763478206285564043339719053111209916105], 'label': '6718464.bbw.16._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401235
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 31348116926917733833594719565965130042354, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401236
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401237
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 128524237765093225626128895147296008366076, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401238
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [97230078840781847971908782803517638941299, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 128524237765093225626128895147296008366076, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401239
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 72654371322886092818906198418241748654787, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.16._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401240
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 72654371322886092818906198418241748654787, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 274763478206285564043339719053111209916105], 'label': '6718464.bbw.16._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401241
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [814856793391404135389908099022787396, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401242
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401243
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 117636672851497474501150158471053928999406, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401244
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401245
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 31347064686513450818346552554937534639116, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401246
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401247
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [191767283822541071254808300698803915016356, 31347064686514275423550121112498945660157, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401248
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 191768098679324592425917381692984152740133, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401249
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 191768098679324592425917381692984152740133, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401250
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 191768098679324592425917381692984152740133, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401251
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 191767283822541364672901627547570030669507, 191768098679324592425917381692984152740133, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401252
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31348116926917302048766234740146567489270, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401253
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401254
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.4._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401255
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401256
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31348116926917733833594719565965129988995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401257
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 97542184621806380818143535864785165059245, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401258
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [127943795798488762033504738627984087729906, 376703666980290, 20962878091100235933258515839342491697797, 97542184621806380818143535864785165059245, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401259
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 72654642941820011480343404384139537615520, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241], 'label': '6718464.bbw.16._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401260
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401261
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31347064686514275423550121112498945660157, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401262
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31347064686514275423550121112498945660157, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401263
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31347064686514275423550121112498945660157, 31348116926917302048766234740146567489270, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401264
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31347064686514275423550121112498945660157, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31348116926917733833594719565965129988995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401265
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.4._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401266
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 31347064686513450818346552554937534639116, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401267
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 223106700985858073735103227604521723778919, 10628652128250503819036102992460278548480, 822228046644134973649184189, 72654642941820011480343404384139537615520, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.16._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401268
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233431165899873716028073558906674120278665, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401269
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 233431165899875720079885341337739494989437, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401270
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401271
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31347064686514275423550121112498945660157, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401272
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [822228046644156184322795764, 376703666980290, 63822384498269430727129924222762399012290, 20962878091099832534861614701156499001995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401273
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [822228046644156184322795764, 376703666980290, 63822384498269430727129924222762399012290, 418829649741950392737872884, 20962878091099832534861614701156499001995, 10628652128250503819036102992460278548480, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 222819107486862988267167599874736819698917, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401274
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [822228046644156184322795764, 376703666980290, 31348116926916508470637016663079487774700, 63822384498269430727129924222762399012290, 418829649741950392737872884, 20962878091099832534861614701156499001995, 10628652128250503819036102992460278548480, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 222819107486862988267167599874736819698917, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401275
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [822228046644156184322795764, 376703666980290, 31348116926916508470637016663079487774700, 63822384498269430727129924222762399012290, 20962878091099832534861614701156499001995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401276
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.4._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401277
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [822228046644156184322795764, 376703666980290, 63822384498269430727129924222762399012290, 418829649741950392737872884, 20962878091099832534861614701156499001995, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401278
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [822228046644156184322795764, 376703666980290, 63822384498269430727129924222762399012290, 1229137563931663848774681600, 418829649741950392737872884, 20962878091099832534861614701156499001995, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401279
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [822228046644156184322795764, 376703666980290, 31348116926916508470637016663079487774700, 63822384498269430727129924222762399012290, 1229137563931663848774681600, 418829649741950392737872884, 20962878091099832534861614701156499001995, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401280
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [822228046644156184322795764, 376703666980290, 31348116926916508470637016663079487774700, 63822384498269430727129924222762399012290, 418829649741950392737872884, 20962878091099832534861614701156499001995, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401281
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 233429858751468248293285255215566712266241, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401282
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541364672901627676961738595980, 233429858751468248293285255215566712266241, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401283
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100], 'label': '6718464.bbw.16._.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401284
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 62329125761160519807877740297316181456630, 72654642941820011480343404313698603791416], 'label': '6718464.bbw.16._.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401285
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401286
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 814856793794096560084199775078478695, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401287
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.2._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401288
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 117636672851497474501150158471053928999406, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.4._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401289
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31347064686514275423550121112498945660157, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401290
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31347064686514275423550121112498945660157, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 31348116926917733833594719565965130042354, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401291
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31347064686514275423550121112498945660157, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 31348116926916508470637016702147852687832, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401292
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 31347064686513887044153125417356159203893, 63822384498269430727129924222762399012290, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401293
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 418829649741950392737872884, 128524237765093225626128895147296008366076, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401294
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 31347064686513887044153125417356159203893, 63822384498269430727129924222762399012290, 418829649741950392737872884, 128524237765093225626128895147296008366076, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401295
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 97542184621806380818143535864785165059245, 31347064686515564145562614040049851944716, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401296
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 97542184621806380818143535864785165059245, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 31347064686513450818346552554937534639116, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401297
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.16._.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.GZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401298
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 814856794600062250233287299022801269, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.16._.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401299
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.4._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401300
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 128524237765093225626128895147296008366076, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.16._.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401301
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 128524237765093225626128895147296008366076, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 180224973184895193211194396878493420501855, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401302
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.16._.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401303
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [814856793391404135389908099022787396, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.16._.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401304
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.16._.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401305
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31348116926917733833594719565965129988995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.16._.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401306
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100], 'label': '6718464.bbw.16._.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401307
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 72654642941820011480343404384139537615520, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 62329125761160519807877740297316181456630], 'label': '6718464.bbw.16._.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401308
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233431165899873716028073558906674120278665, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401309
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233431165899873716028073558906674120278665, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541364672901627676961738595980, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401310
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.4._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401311
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.16._.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401312
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 274763478206285564043339719053111209916105], 'label': '6718464.bbw.16._.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401313
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 31348116926917302048766235135238543047049, 233431165899873716028073558906674120278665, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401314
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233431165899873716028073558906674120278665, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 3243086199688492939137604725, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401315
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 62329676151707141794682504790911504887553, 233429858751468248293285255215566712266241], 'label': '6718464.bbw.16._.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401316
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 223106700985858073735103227604521723778919, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 62329676151707141794682504790911504887553], 'label': '6718464.bbw.16._.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401317
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.16._.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401318
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 180224973184895193211194396878493420501855, 233429858751467845650216964434764304882463, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401319
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.16._.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401320
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 31347064686513450818346552554937534639116, 1258350440040947635195968000, 233429858751468248293285255196143153626249, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.16._.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401321
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.4._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401322
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [822228046644156184322795764, 376703666980290, 63822384498269430727129924222762399012290, 418829649741950392737872884, 20962878091099832534861614701156499001995, 10628652128250503819036102992460278548480, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 3243086199688518905810681789, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.16._.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401323
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [822228046644156184322795764, 376703666980290, 63822384498269430727129924222762399012290, 1229137563931663848774681600, 418829649741950392737872884, 20962878091099832534861614701156499001995, 10628652128250503819036102992460278548480, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.16._.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401324
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [822228046644156184322795764, 376703666980290, 31348116926916508470637016663079487774700, 63822384498269430727129924222762399012290, 20962878091099832534861614701156499001995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 276480, 1845584622685684, 219574, 330035000766685995804717264624637888307000, 1258350440040947635195968000, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401325
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [822228046644156184322795764, 376703666980290, 31348116926916508470637016663079487774700, 63822384498269430727129924222762399012290, 1229137563931663848774681600, 418829649741950392737872884, 20962878091099832534861614701156499001995, 10628652128250503819036102992460278548480, 276480, 1845584622685684, 219574, 330035000766685995804717264624637888307000, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401326
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370], 'label': '6718464.bbw.16._.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.HZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.HZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401327
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 72654371322886092818906198418241748654787, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.16._.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401328
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 822228046644134973649184189, 276480, 1845584622685684, 307875174999237028633277611237840680025400, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401329
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 191767283822541364672901629119500483976170, 1258350440040947635195968000, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.16._.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401330
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [72654371322886073529927397391984576270293, 376703666980290, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 20962878091099832534861614701156499001995, 10628652128250503819036102992460278548480, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370], 'label': '6718464.bbw.16._.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.ID', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.ID', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401331
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [97230078840781847971908783097917730371699, 72654371322886073529927397391984576270293, 376703666980290, 31348116926916508470637016663079487774700, 63822384498269430727129924222762399012290, 21210673760395, 20962878091099832534861614701156499001995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370], 'label': '6718464.bbw.16._.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401332
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 31347064686515564145562613979972037877729, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.4._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401333
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [72654371322886073529927397391984576270293, 376703666980290, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 20962878091099832534861614701156499001995, 10628652128250503819036102992460278548480, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241], 'label': '6718464.bbw.16._.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401334
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [97230078840781847971908783097917730371699, 72654371322886073529927397391984576270293, 376703666980290, 31348116926916508470637016663079487774700, 63822384498269430727129924222762399012290, 21210673760395, 20962878091099832534861614701156499001995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241], 'label': '6718464.bbw.16._.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401335
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [128525290005503996134648392620162491916001, 72654371322886073529927397391984576270293, 376703666980290, 63822384498269430727129924222762399012290, 21210673760395, 20962878091099832534861614701156499001995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370], 'label': '6718464.bbw.16._.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401336
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [72654371322886073529927397391984576270293, 376703666980290, 31348116926916508470637016663079487774700, 63822384498269430727129924222762399012290, 21210673760395, 179582926250747189201454103800364576400499, 20962878091099832534861614701156499001995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370], 'label': '6718464.bbw.16._.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.II', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.II', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401337
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [128525290005503996134648392620162491916001, 72654371322886073529927397391984576270293, 376703666980290, 63822384498269430727129924222762399012290, 21210673760395, 20962878091099832534861614701156499001995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100], 'label': '6718464.bbw.16._.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401338
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [72654371322886073529927397391984576270293, 376703666980290, 31348116926916508470637016663079487774700, 63822384498269430727129924222762399012290, 21210673760395, 179582926250747189201454103800364576400499, 20962878091099832534861614701156499001995, 418829649741950392737872884, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.16._.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401339
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241], 'label': '6718464.bbw.16._.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401340
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 72654371322886092818906198418241748654787, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241], 'label': '6718464.bbw.16._.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401341
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370], 'label': '6718464.bbw.16._.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401342
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.16._.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401343
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401344
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [72654371322886073529927397391984576270293, 376703666980290, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 20962878091099832534861614701156499001995, 10628652128250503819036102992460278548480, 276480, 1845584622685684, 307875174999237028633277611237840680025400, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241], 'label': '6718464.bbw.16._.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401345
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [72654371322886073529927397391984576270293, 376703666980290, 31348116926916508470637016663079487774700, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 20962878091099832534861614701156499001995, 10628652128250503819036102992460278548480, 319415838598845271277643127327701054611000, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241], 'label': '6718464.bbw.16._.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401346
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [72654371322886073529927397391984576270293, 376703666980290, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 20962878091099832534861614701156499001995, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 276480, 1845584622685684, 307875174999237028633277611237840680025400, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100], 'label': '6718464.bbw.16._.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401347
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [72654371322886073529927397391984576270293, 376703666980290, 31348116926916508470637016663079487774700, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 20962878091099832534861614701156499001995, 10628652128250503819036102992460278548480, 233429858751467845650216964454187863330079, 319415838598845271277643127327701054611000, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.16._.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.IS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401348
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.32._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401349
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 72654371322886092818906198418241748654787, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 274763478206285564043339719053111209916105], 'label': '6718464.bbw.32._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401350
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 274763478206285564043339719053111209916105], 'label': '6718464.bbw.32._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401351
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.32._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401352
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 191767283822541364672901627547570030669507, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.32._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401353
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.32._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401354
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401355
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 62329125761160519807877740297316181456630], 'label': '6718464.bbw.32._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401356
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.32._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401357
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100], 'label': '6718464.bbw.32._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401358
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 223106700985858073735103227604521723778919, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.32._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401359
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.32._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401360
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.32._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401361
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 233429858751468248293285255215566712266241], 'label': '6718464.bbw.32._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401362
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.32._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401363
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 72654371322886092818906198418241748654787, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.32._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401364
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 72654371322886092818906198418241748654787, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.64._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401365
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.4._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401366
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 191767283822541364672901627547570030669507, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.64._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401367
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 274763478206285564043339719053111209916105], 'label': '6718464.bbw.64._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401368
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.64._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401369
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719565965130042354, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.64._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401370
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.64._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401371
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.64._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401372
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.64._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401373
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 72654371322884864975018568774298305543929, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 274763478206286464416354327548534853675125], 'label': '6718464.bbw.64._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401374
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [72654371322884864975018568834369420981909, 1845584622685684, 63822384498269430727129924222762399012290, 10628652128250503819036102992460278548480, 1258350440040947635195968000, 219574, 418829649741950392737872884, 276480, 20962878091099832534861614701156499001995, 31348116926919718102945034697063634096979, 376703666980290], 'label': '6718464.bbw.128._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401375
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [72654371322884864975018568834369420981909, 1845584622685684, 63822384498269430727129924222762399012290, 10628652128250503819036102992460278548480, 1258350440040947635195968000, 219574, 418829649741950392737872884, 276480, 20962878091099832534861614701156499001995, 376703666980290, 31348116926917733833594719565965130042354], 'label': '6718464.bbw.128._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401376
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.4._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401377
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [63822384498269430727129924222762399012290, 1845584622685684, 20962878091100235933258515839342491697797, 10628652128250503819036102992460278548480, 1258350440040947635195968000, 219574, 72654371322884864975018568774298305543929, 418829649741950392737872884, 276480, 376703666980290, 822228046644134973649184189], 'label': '6718464.bbw.128._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401378
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [63822384498269430727129924222762399012290, 1845584622685684, 20962878091100235933258515839342491697797, 10628652128250503819036102992460278548480, 1258350440040947635195968000, 219574, 418829649741950392737872884, 276480, 21210673760395, 376703666980290, 822228046644134973649184189], 'label': '6718464.bbw.128._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401379
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [72654371322884864975018568834369420981909, 1845584622685684, 63822384498269430727129924222762399012290, 20962878091100235933258515839342491697797, 10628652128250503819036102992460278548480, 1258350440040947635195968000, 219574, 418829649741950392737872884, 276480, 376703666980290, 822228046644134973649184189], 'label': '6718464.bbw.128._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401380
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [63822384498269430727129924222762399012290, 1845584622685684, 20962878091100235933258515839342491697797, 10628652128250503819036102992460278548480, 1258350440040947635195968000, 219574, 418829649741950392737872884, 276480, 376703666980290, 822228046644134973649184189], 'label': '6718464.bbw.256._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401381
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [72654371322884864975018568834369420981909, 1845584622685684, 63822384498269430727129924222762399012290, 10628652128250503819036102992460278548480, 1258350440040947635195968000, 219574, 418829649741950392737872884, 276480, 20962878091099832534861614701156499001995, 376703666980290], 'label': '6718464.bbw.256._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401382
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [72654371322886073529927397391984576270293, 376703666980290, 63822384498269430727129924222762399012290, 418829649741950392737872884, 20962878091099832534861614701156499001995, 10628652128250503819036102992460278548480, 1845584622685684, 276480, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.256._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '256.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401383
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [63822384498269430727129924222762399012290, 1845584622685684, 10628652128250503819036102992460278548480, 1258350440040947635195968000, 219574, 418829649741950392737872884, 276480, 20962878091099832534861614701156499001995, 376703666980290], 'label': '6718464.bbw.512._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '512.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401384
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': '1024.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': [376703666980290, 63822384498269430727129924222762399012290, 418829649741950392737872884, 1845584622685684, 10628652128250503819036102992460278548480, 276480, 219574, 1258350440040947635195968000], 'label': '6718464.bbw.1024.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1024.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401385
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': '6561.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': 6561, 'diagramx': None, 'generators': [814856793003671097200762772386203866, 625479240827292907041781702576590700800, 296055878968489714314283935625784198400, 296055878968489714314283132612652942570, 1806928228556538481839671984087911949100, 625479240827342541692479711272468480000, 1493555564509355167800357307772972908800, 287503831492927906915375040148779316264796, 233431165899872396982976230126103766803893], 'label': '6718464.bbw.6561.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6561.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6561.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401386
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': '6718464.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': '6718464.bbw.6718464.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6718464.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6718464.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401387
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.4._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401388
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.2._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401389
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.4._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401390
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.4._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401391
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401392
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401393
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401394
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401395
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401396
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401397
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401398
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 191767283822541071254808300828195622924989, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401399
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.2._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401400
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401401
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401402
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.4._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401403
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 233429858751468248293285255215566712266241, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.4._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401404
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401405
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401406
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401407
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [128525290005503996134648392620162491916001, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 3243086199688518905810681789, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.4._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401408
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 21210673760395, 63822384498269430727129924222762399012290, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.4._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401409
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 299625496460338886717042557152341831189686, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.4._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401410
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.2._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401411
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.4._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401412
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 299625496460338886717042557152341831189686, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.4._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401413
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 31347064686515564145562614040049851944716, 21210673760395, 63822384498269430727129924222762399012290, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.4._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401414
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.4._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401415
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [31347064686514275423550121112498945660157, 376703666980290, 20962878091100235933258515839342491697797, 21210673760395, 63822384498269430727129924222762399012290, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.4._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401416
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [31347064686514275423550121112498945660157, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.4._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401417
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.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: 242401418
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 814856796153120012312333283944521796, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.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: 242401419
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.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: 242401420
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 31347064686515564145562613979972037877729], 'label': '6718464.bbw.8._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401421
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.2._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401422
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [117635899382695670896743841444951675918076, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401423
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 117636672851497474501150158471053928999406, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401424
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 127942709597179776596079976801240281673645, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401425
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 127943795798488762033504738688336333341919, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401426
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401427
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 31347064686515564145562614040049851944716, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401428
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401429
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401430
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401431
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 127942709597179776596079976860284892885855], 'label': '6718464.bbw.8._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401432
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 814856796153120012312371399582393801, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.2._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401433
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 117635899382695670896743841408361219088290], 'label': '6718464.bbw.8._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401434
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401435
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 117636672851497474501150158352061313164001, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401436
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.8._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401437
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [191767283822541071254808300698803915016356, 376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 233429858751467845650216964514352376671516, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909, 299625241817598967753936882451931909932600], 'label': '6718464.bbw.8._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401438
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401439
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 127943795798488762033504738607430089124920, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401440
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 31348116926917302048766235135238543047049, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 97542439795052224999333006051245615032120, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401441
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 418829649741950392737872884, 233429858751468248293285255275731225592679, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917733833594719961057105803500, 97542439795052224999333006051245615032120, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 242401442
    {'ambient': '6718464.bbw', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [376703666980290, 20962878091100235933258515839342491697797, 63822384498269430727129924222762399012290, 21210673760395, 3243086199688471728464077307, 418829649741950392737872884, 10628652128250503819036102992460278548480, 822228046644134973649184189, 276480, 1845584622685684, 219574, 1258350440040947635195968000, 31348116926917302048766235075067323693100, 47177346619370, 72654371322884864975018568834369420981909], 'label': '6718464.bbw.8._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.X', 'subgroup_fusion': None, 'weyl_group': None}